Bach, Chakras, Tarot: Toccata in F LINKS page

LINKS page for Toccata in F: Bach, Chakras, Tarot

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Reinterpreting Spiritual Philosophy
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BACK to Toccata in F: Bach, Chakras, Tarot



Related and referenced sites

Anodea Judith and the Wheels of Life
Robert M. Place, author of The Tarot: History, Symbolism, and Divination, and Tarot deck creator
Builders of the Adytum
Divine Science of San Jose
Tarot, by Wikipedia
Aeclectic Tarot, with info on over 1000 decks
Tarot Card Meanings, based on "It's All in the Cards" by Kim Farnell
The Fool's Journey on You Tube with music by Stewart Copeland
TarotVision journey along the path of the Major Arcana
J.S.Bach
Virgil Fox interview in San Francisco on Bach, the organ, youth, reincarnation, etc. (removed as of 11-09; let's hope it returns!)
Another Virgil Fox interview at the world's largest organ in Philadelphia, and the Bach light show!
Article on E. Power Biggs and Virgil Fox, missionaries of the organ
Answers.com on Bach's Toccata & Fugue in F, with a long list of many available CDs & samples of the piece
Wikipedia article on Bach's Toccata and Fugue in F
scholarly review of Toccata in F by Chris Eads, with chart of sections, notated score and bibliography
Organ Historical Society; best place to get organ music and Bach's Toccata in F, BWV 540
See or get the written score of the Toccata in F in pdf format
agir3's you tube channel has all 50 of Atalanta Fugiens by Michael Maier, with illustrations from his alchemical book of that name
Atalanta Fugiens by Michael Maier with a link to this site with the text and pictures
The Flying Atalanta, from alchemistra
You can get Lute Music for Witches and Alchemists here; it contains one of the fugues called Atalanta Fugiens by Michael Maier
Alchemy - Sacred Secrets Revealed (Official Trailer)
good discussion of alchemy
Periodic Table of the Elements
Greek Medicine Wheel
Greek and western medicine and chakras
Extensive information on the four humors on you tube (part 1 of 3)
Kundalini by Swami Sivananda
Tantra-Kundalini
Tantra and Kundalini, by Humanity Healing
Balancing Ida and Pingala, by James Bailey from Yoga Journal
The Chakras, by All Good Things
Chakras on you tube, from stickyweb; first chakra
Chakra lectures, dances, meditations & excellent music with Jaisiya on you tube: chakra 1, chakra 2, chakra 3, chakra 4, chakra 5, chakra 6, chakra 7
Archeosofia: bio-energy and the energetic ducts
Rick Richards on the chakras, and here is a full list of articles
short kundalini video on You Tube to Orff's Carmina Burana
Anodea Judith's chakra video, starting with part 1
Kundalini currents are always described as "serpentine." Here is a snake! Notice how it moves from side to side, and coils.
Ellie Crystal's illustrated intro to chakras and related subjects
Rev. Donald O'Connor on Filmore's 12 powers and the chakras
Fillmore's 12 Powers in the body. Note that I have rearranged these in my table
Introduction to Kabbalah on You Tube
Tree of Life, by One Spirit Ministries
Simple diagram of the Tree of Life and its divisions on You Tube
BOTA's Tree of Life
artistic Qabbalah Tree of Life picture
Hermetic Qabalah by Wikipedia
Summary of The DaVinci Code
Signs, Symbols and Secrets: Decoding the DaVinci Code (see page 67, Star of David and the pyramids)
Margaret Starbird on the Sacred Feminine and the Divine Marriage
Internet Sacred Texts Archive
Campbell's Hero's Journey explained in 8 stages (8 is close to 7; in this article the stages are numbered 1 to 11 but this includes the 3 headings: Separation, Transformation and Return); adding The Return as an 8th level (represented here by The World card), we have the same 7 levels, plus the 8th as the "octave," (or re-descent) just like "returning" to the same note an octave higher (or "about 3 inches off the ground")
The Ultimate Gift, a contemporary movie version of the hero's journey
Philip Noyed's contemporary paintings are original, excellent visual musical themes and planes infused with Ch'i energy, and exploring related topics. One of his works is called "Toccata: Kundalini Rising", and in his description he quotes this page and cites the Toccata in F.
Speaking of "Bach", I found through googling "Bach chakras" not only this site, but that Dr. Edward Bach sorted his famous flower remedies into the 7 chakra groups. This site discusses a book about this, along with more ideas about the chakras and consciousness.
HERE (probably gone now) is a scholarly pdf article mostly about performing the second pedal solo, which also compares the Toccata to a dance, and if you scroll down toward the end there is a chart/layout which shows the toccata's sections much as I have divided them, showing the placement of the themes, etc.
Just googleing or searching for "Toccata in F 540 Bach" will yield many articles and reviews, and many places to buy and hear the Toccata on-line. Amazon.com has many different CDs available; just type "Bach Toccata in F 540" in the search box.



See and hear the Toccata in F, S. 540, played online on You Tube, etc.
(see also top of toccata page)

Lionel Rogg's great performance
Hear Rogg play each chakra section: ONE, TWO, THREE, FOUR, FIVE, SIX, SEVEN.
Michel Chapuis's wonderful performance on a Schnitger organ, showing the correlation to tarot trumps. Don't miss it!
A great Performance of S. 540/1 from Bach's church in Leipzig
Virgil Fox performs Toccata in F in concert with pictures of Fox and symbols of chakras, tarot, etc. which I posted
Another You-Tube version. Many others are available now too, along with other works. Find links on the right, once you are at one of these You Tube sites.
French master Marie-Claire Alain performs it (she's the sister of composer Jehan Alain, 1911-1941)
See and hear her perform it in this video
E. Power "Biggs Bunny" runs away from Elmer Fudd
E. Power Biggs plays the Toccata in F at Freiburg
Toccata in F S.540 on You Tube played by Helmut Walcha
Aaron Robinson plays it, with views of different cathedrals and organs
middle portions of Toccata in F played on church bells
Hear Ton Koopman play Toccata in F at Grote Kerk Maassluis
Hear Ton Koopman play it on the largest baroque organ
Arjen Leistra plays the toccata in concert
Bine Katrine Bryndor plays it and you can see the sheetmusic as it's played (although not all of the 2nd solo is played)
Sir George Thalben-Ball plays the Toccata fast in 1933
Another You Tube performance by Paolo Zappacosta
Thomas Rothfuß spielt Toccata F-Dur, BWV 540 von Johann Sebastian Bach an der WRK-Orgel in St. Anton (Muenchen)
one young lady's performance and her page turner :-)
Philippe Delacour - Toccata en Fa Majeur BWV 540
Masters recital
Ronald I Jmker from Aalten Holland
Stefano Faggioni plays BWV 540
Wolfgang Rubsam plays it rub-ato!
Scott Dettra at Washington National Cathedral; except for the first few bars
In Paolo Oreni's version, it gets faster as it goes along
Markus Zehnpfennig from Koln, with pauses between sections (Christ on the cross appears during the Death & Devil sections)
Siegbert Rampe on a Schnitger-inspired organ (shorter pedal solos)
The Toccata in F from Chartres Cathedral
Mary Copeley practicing it for a competition
Christmas Concert in Milwaukee
Toccata in F played on 2 pianos

Toccata and Fugue in F in software samples, offered by Virtually Baroque. Not as expressive, but no missed notes!
Toccata in F from Virtually Baroque
Kunst der Fuge MIDI files of S.540 and other preludes and fugues 531-552 Luquet version recommended


Other organ and musical works relevant to this essay

  • Bach organ works
    Lionel Rogg plays the Fugue in F, S.540/2 (note S = Schmeider, compiler of BWV index of Bach works)
    Ton Koopman plays the Fugue in F, S. 540
    James Kibbie performs the Fugue in F, S.540
    Fugue in F with the score in the picture
    Bach's Dorian mode Toccata S.538, closely related to the F major Toccata S.540. It brings to mind a lofty sacred and/or Platonic dialogue or visionary experience.
    Dorian Toccata S.538 played by Ton Koopman
    Michel Chapuis plays Toccata S.538 and Prelude in a S.543 at Zwolle
    Martin Ellis plays Toccata in d S.538
    The famous, grand and graceful Toccata and Fugue in d Minor S.565, played by Lionel Rogg
    Another video of this version, with good views of Arlesheim Cathedral and its organ
    Anton Heiller plays it, definitely a definitive version
    E. Power Biggs plays the Toccata and Fugue in D Minor, S.565
    Daniel Chorzempa performs it
    The famous Toccata and Fugue in d Minor S.565 from Sydney Town Hall
    Toccata and Fugue in D Minor S.565 on You Tube
    Karl Richter plays Toccata and Fugue in D Minor S.565
    Andre Isoir performs it
    Virgil Fox plays Toccata & Fugue in d Minor 565
    A "Silver Screen Classics" D Minor 565 with Hannes Kastner
    Malinowski plays and graphically illustrates the score
    Orchestral version of Toccata and Fugue in d from Fantasia
    piano version by David Berube
    Toccata & Fugue BWV 565, Ivano Battiston accordion
    Toccata et Fuga d-moll. Denis Fedorov, accordion
    Ekseption puts some more rhythm and humor into some of the famous d minor
    Sky plays a rock arrangement of the Toccata in d
    Violinist Vanessa Mae, the Madonna of classical, plays the great d minor, (sort of)
    Myleene Klass performs an arrangement of Bach's Toccata in d
    Russian rock version, plus Badinerie, by Victor Zinchuk
    Ancestry's Invocation Of Power In D minor
    all mixed up!
    Lionel Rogg plays Toccata in C, S.564 from Arlesheim in 1970
    Franz Hauk plays the Toccata in C, S.564
    Vladimir Horowitz plays Busoni piano transcription of Toccata in C, S. 564
    Passacaglia S.582, played by Anton Heiller
    Passacaglia on You Tube, played by Balint Karosi
    Passacaglia played by Marie-Claire Alain
    Fugue in g minor S.542, played by Balint Karosi
    Diane Bish performs the "triple fuge" in E flat, "St. Anne" S.552/2, reputed to be symbolic of the Trinity.
    Virgil Fox performs Prelude and Fugue in D, S.532
    Great Prelude and Wedge Fugue in e minor S.548
    Prelude and Fugue in C, S.547 (the 10-note theme illustrates moving up the Tree of Life, with the 3rd and 5th notes repeated, as if representing the two circles on those levels of the Tree.)
    Fox heavy organ light show with bits of S.548,565,578,577,582 and pithy comments
    Toccatas by other composers
  • French organ toccatas
    Toccata by Theodore Dubois
    A typical French toccata by Gigout, played by Marie-Claire Alain
    Marija Loncar Strohm plays the Gigout Toccata
    Robert Parkins performs it
    Daniel Chorzempa plays Louis Vierne's great toccata-like Finale on You Tube. I'd say the theme is another "chariot" ride!
    18 year-old Kevin Neel plays the First Symphony Finale at national cathedral
    Vierne's Toccata B Flat Minor from Pieces of Fantasie on You Tube
    Widor plays Widor's Toccata in F from 5th Symphony for organ
    Widor's Toccata in F, from his 5th Symphony
    Widor Toccata in F
    Widor Toccata in F played by young Rees
    Toccata from Suite Gothique by Leon Boellmann played by Daniel Chorzempa
    Virgil Fox plays Maurice Durufle's Toccata
    Pierre Cochereau performs the Toccata, op. 23 by Otto Barblan (theme similar to S.540)
    Diane Bish plays Belier Toccata
    Diane Bish plays Lanquetuit Toccata
    Jean Guillou performs his fiery, virtuoso Toccata (a good example once it gets going!)
    Marcel Dupre's Toccata from 2nd Symphony for Organ
    Jean Paul Verpeaux: toccatas for organ in G minor and A Minor
    Jean Paul Verpeaux: Toccata Notturna and "modern" Tempus Fugit Toccata
    Toccata-Mission by Olivier Latry, performed by Arthur Nobile Jr.
    Henry Mulet, Tu Es Petra, played by Diane Bish. This toccata could be named after the Bible verse in which Jesus says to Peter that you are the rock (petra), on which I will build my church, and the gates of Hell shall not prevail against it. The rock may be the alchemical philosopher's stone, for Jesus goes on to give his disciples "the keys to the kingdom... of loosing and binding, on earth and heaven..." Matthew 16:18-19. These are the alchemical principles of solve et coagula, or dissolving and binding. The keys became the Pope's symbol. More at Neo-Platonism and Alchemy, bottom of article.
    Virgil Fox performs it
  • French piano toccatas
    Debussy Toccata for piano
    Ravel Toccata from Le Tombeau de Couperin
    Quynh Nguyen performs it
    Cecile Chaminade Toccata, a perfect example of the post-Bach Toccata (my video)
    Saint-Saens Toccata from Etude Op.111
    Poulenc Toccata
  • Other toccatas: piano
    Horowitz plays Schumann's influential piano Toccata, directly inspired by Bach's Toccata in F (Schumann heard Mendelssohn's "revival" performance of it)
    Ferdinand David's Toccata in E Minor, transcribed by Lizst
    Prokofiev's piano Toccata in d Minor, played by Frederic Chui           organ version
    Khachaturian Toccata for piano
    Kabalevsky: Rondo-Toccata and Toccatina
    Enescu Toccata, played by Sorin Creciun
    Vassil Kazandjiev Toccata
    Jaroslav Jelek -- Toccata (Ralf Pisters, piano)
    Eugen Suchon, Toccata. Performed by young slovak pianist Juraj Rulicka
    Busoni Toccata, played by Claudius Tanski (only the first part, "prelude", fits the Bach-influenced modern style)
    Tauriello Toccata (great example)
    Cuellar Toccata, performed by "piano girl" Vivian Yu
    William Gillock, Champagne Toccata for piano quartet
    Peter Mennin Toccata, by Chilean pianist Patricio Molina
    York Bowen - Toccata, Op. 155 (1957)
    Juraj Hatrík - TOCCATA performed by Danny Jun
    Ben-Haim: Five Pieces, #5 Toccata
    Josef Rheinberger: Toccatina
    Sancan Toccata played by Teresa Sierra
    Jackson Wang Toccata
    Rami Bar-Niv plays his Toccata
    Geoffrey Bush Toccata
    Amaral Vieira: Toccata for Piano Op137 (excellente!)
    Tito Aprea: Toccata, played by Antonio Marchetta
  • Other toccatas: organ
    Spectacular French-style Toccata in D Flat for organ by Belgian composer Joseph Jongen, played by Roger Nyquist
    Virgil Fox plays solo version of Jongen's Toccata from Symphonie Concertante
    raw material: Buxtehude Toccata in F, #156, forerunner of Bach's Toccata in F
    Toccata by Bach's son Johann Christian, played on synthesizer
    William Walond Toccata in G (British 18th cent.)
    Brent Douglas plays Festival Toccata by Percy Fletcher
    Toccata by Percy Whitlock from Plymouth Suite
    Toccata in C by Franz Schmidt
    Toccata in F by Denis Beddard, played by Arthur Nobile Jr.     another version
    Diane Bish performs another Toccata by Denis Beddard (he's from Quebec)
    Harm Hoeve plays Toccata on Psalm 146 by Jan Zwart
    Toccata by Georgi Aleksandrovich Mushel, played by Diane Bish
    Diane Bish performs her Toccata on Christ the Lord Has Risen Today
    Hector Olivera performs his famous Toccata on "Joyful, Joyful" (Beethoven's 9th)
    Another Toccata on 'Hymn to Joy' by Mark Thallander
    Toccata Giacosa by Hans Andre Stamm
    Toccata Mystique by Mark Andersen
    Mighty Toccata by Jon Kristian Fjellestad
    Toccata in Seven by John Rutter
    Toccata by Martin Ellis
    Toccata from Larry Thomas Bell's seven-movement "Liturgical Suite"
    Toccata on "O God, Our Help in Ages Past" arr. Robert Welch
    Toccata by Gordon Young
    Toccata alla Rumba by Andreas Willscher
    Paul Harvey's short Rhumba Toccata for piano, transcribed for organ and played by Matthias Rascher
  • Other toccatas: orchestral and various
    Toccata for Trumpet and Organ by Padre Giovanni Battista Martini (1706-1784)
    Virgil Fox plays Joseph Jongen's Toccata (Modo Perpetuo) from Symphonie Concertante for organ and orchestra
    Kapustin Toccata for piano and big jazz band
    Toccata for Band by Frank Erickson
    Toccata for Band by Fisher Tull
    Toccata by Paul Ayres for organ and clarinet
    Paul Mauriat's Toccata
    Emerson Lake & Palmer's rock n roll Toccata (portion)
    S. P. Londonow: Scherzo-Toccata for Accordian
    Toccata for Accordian by Schmitt
  • Mozart outdoes Bach!... and who?
    Mozart's "Jupiter" Symphony #41 Finale is a fabulous Olympian achievement in counterpoint inspired by Bach. Click "more info" and watch NPR's commentary too.
    The Mozart 41 Finale played by the Vienna Symphony
    Then, of course, there's Pete Townshend and The Who's Quadrophenia. Four themes in one, sort of like The World card! "The Rock" is the philosopher's stone of rock! Picture the 4 members of The Who on the world card: Keith is the Bull (earth/Faith), Roger is the Lion (fire/Strength), Pete is the Eagle (water/Love), and John is the Man (air/Temperance).
    The 4 themes of Quadrophenia


    Here is a list of other chakra music. For example, in the new age, ambient, visionary music field of today, a number of fine works have been created.

    Topping the list is Chakra Gold by Aetherium, who are Kevin Kendle and Chris Puleston.

    The Song of the Tree by Lis Addison (5th chakra only in this video)

    Light Music by Richard Shulman

    Music for a Busy Head by Absolute Ambient/Matt Coldrick

    Chakra Healing by Dean Evenson and Soundings of the Planet

    Chakra Journeys by Seckund Naychur

    The Seven Stages of Alchemical Transformation by Seth Osborn

    Fresh Aire II by Mannheim Steamroller features a suite of 7 "doors"

    Chakra Suite by Steven Halpern      Chakra Chimes

    Chakra Chants I and II and Chakra Dance by Jonathon Goldman      2nd chakra 4th chakra

    Chakra Healing Zone by David and Steve Gordon

    Chakra Healing Chants by Sophia

    Kundalini Rising by Phillip Kanakis

    The 10 Minute Chakra by Akshara Weave

    Rhythms of the Chakras. Volume 2 by Glen Velez

    I will mention others here as I find or remember them. Lots of chakra music exists. Try using a search engine or you tube search if you want to see more examples.

    Bach's toccata is more energetic than some of today's more-meditative new age chakra music. Toccata in F is more like the venerable Hindu tradition of the chakra dance. It is energetic music that raises kundalini through our "energy centers." Here are some of the many videos on you tube of the more energetic kind of chakra music (with some sensual dancing too!).

    Dance the Chakras
    Ana Brett - Kundalini Yoga Dance Cardio Blast
    Kundalini Belly Dance Tribe
    Awakening the Kundalini Serpent
    Innerverse - Awakening The Serpent
    Swami Ji Jaisiya's fire chakra dance (3rd chakra) Notice how the theme of this excellent music resembles Bach's 3rd chakra theme.
    Powerful Tantra music by David Parsons
    Devi Dhyani performing a Sacred Shamanic Chakra Dance to Pink Floyd's Set the Controls for the Heart of the Sun


    Liner notes

    Here are liner notes for the Toccata in F by Bach, quoted from Lionel Rogg's collection of organ works in 1970 at Arlesheim, on Harmonia Mundi, and notes by Harry Halbreich, translated by Frank Dobbins, from Michel Chapuis' great 1968 performance of the Bach organ works on Valois; plus the comments by Hermann Keller quoted from the Wikipedia article.

    "On taking a closer look at the toccata (originally from "toccare", meaning to touch or to play on a keyboard as opposed to "cantare", and "suonare"), it is almost certain that Bach contributed in large measure to giving it its modern aspect, that of a brilliant piece characterized by an implacable rhythm.... With the "Dorian" Toccata in D minor (BWV 538) and the Toccata in F major (BWV 540), Bach left a definitive imprint on the toccata. We have seen that they are characterized by an uninterrupted movement, an impetus engendered by a motif which is less of a theme than an impulsion which, by its very structure, invites development. Bach is the unrivalled master of this type of musical dialectic. If the "Dorian" Toccata already achieves formal perfection, the Toccata in F major, by virtue of its proportions and, perhaps, even of its spirit, might be compared to the most impressive achievements in Gothic architecture. And one is tempted to analyse it in architectural terms. (See cathedrals here) Because, after the double portico of flamboyant arabesques alternating between the manuals and the pedal, the ribs of a vaulting of ogival tracery are evoked by the powerful scaffolding of broken arpeggios, conceived as a great succession of modulations which lead successively to the neighbouring keys of D, A and G minor (three landings in which the initial motif re-appears, treated as a trio), before returning to the dominant on which the work culminates before coming to an end..... the Fugue in F major... is... a double fugue the last part of which super-imposes contrasting elements. The purity and richness of its composition and the flawless perfection of its tonal structure place this fugue assuredly among the finest Bach ever wrote." -- Lionel Rogg

    "With its 438 bars, the Toccata is really one of the most gigantic and one of the most wonderfully balanced structures to be found in Bach's work. In a mood of Easter rejoicing, a luminous canon in two parts is presented over a great pedal point spanning fifty-four bars. Linked to this is a majestic solo for the pedals of daring virtuosity. These two elements return in the course of a counter-exposition in the dominant key; then a cadential formula with chromatic chords, whose role as an architectural breathing-space is shown to be important by what follows, leads to the vast central section. This alternates a new fiery and flamboyant theme with three periods of equal length that bring back the initial theme successively in D minor, A minor and G minor. During the whole of this middle section, the colouring becomes darker, and the anxious modulation, sometimes very daring, contrasting with the radiant tonal security of the opening, give it the character of a kind of great development. The piece ends with a shortened and varied recapitulation of the first section but its tormented harmonies, recalling those of the middle section, elevate its role to the level of synthesis crowning the whole, a role enhanced by its brevity. The two themes of this Toccata are undoubtedly related. Shortly before the end we hear the famous second chord on C minor, which drew from Mendelssohn the exclamation: << When the modulation at the end happens it seems as if the church will collapse: Bach was really a terrible cantor! >>. The richness of the rhythmic and harmonic invention, as well as the supreme perfection of the proportions prevent any feeling of boredom when hearing this colossal fresco." -- Harry Halbreich

    Hermann Keller expresses his rapture as follows: "At the beginning the extensive linear construction of the two voices in canon, the proud calmness of the solos in the pedal, the piercing chord strokes, the fiery upswing of the second subject, the bold modulatory shifts, the inwardness of the three minor movements, the splendour of the end with the famous third inversion of the seventh chord, who would not be enthralled by that?"

    From You Tube, I saw this comment on Zappacosta's page: "The piece reminds me of a rivulet moving from an obscure region of the mountains back to the sea, much like our soul's excursion from an obscure terrestrial setting on this small planet--universally speaking--back to the (our) source, heavenly abode, God family, etc."- hilljhyt


    BACK to Toccata in F: Bach, Chakras, Tarot

    Most recommended recordings


    Finding the 1970 Lionel Rogg definitive version of the Toccata in F and other Bach organ works on CDs issued on the Harmonia Mundi label seems to be getting harder; though now you can hear it on You Tube. On the Answers.com page it is listed as Bach: L'Oeuv're d'Orgue, but copies might not be available for sale. If it costs about $70, make sure you get all 12 discs. If you see the dark-colored cover with the angel, that's the one. Meanwhile, if the 1968 Michel Chapuis version is available anywhere (volume 6 of his recording of Bach organ works, L'ouvre d'Orgue), grab it. His performance on the sparkling Schnitger organ at Zwolle Holland brings out the feeling and significance of the solar plexus and heart sections very effectively. Rogg and Chapuis both play it in a smooth, graceful and flowing style, unlike the performances by Biggs and many others which are too staccato.

    Go to Amazon.com and type "Toccata in F Bach 540" in the search box and many fine available recordings will come up which you can sample or buy. They have a new recording by Michael Murray at Zwolle on Telarc. He's good, so it might be worth it. Try typing in Lionel Rogg or Michel Chapuis too in case there are some copies available.

    Some releases available in 2009

    Michael Murray, Bach at Zwolle (Telarc)
    Robert Kobler, Bach: Organ Works / Köbler, Eger, Albrecht, Otto, Et Al: 15 CDs, 189 works (Berlin Classics 184172)
    Agnes Luchterhandt, Scene Bach, Byrd, Weckmann, Et Al / Luchterhandt, Janssen (MD&G (Dabringhaus & Grimm))
    Douglas Major, Masterworks By Bach (Gothic Records)
    Johannes Strobl, Scheidemann, BÖHM: Christ Lag In Todesbanden; Bach, Buxtehude, Etc (Audite 92560)
    James Hammann (Toccata in F) Guilmant In America (Raven Recordings (Classical) 330)
    Helmut Walcha, Bach: Great Organ Works (Deutsche Grammophon)
    Karl Richter, Bach: Organ Works (Deutsche Grammophon)
    Hans-Jurgen Ander-Donath, Orgelkonzert in der Dresdner Frauenkirche [ORIGINAL RECORDING REISSUED] (Berlin Classics)
    Marcus St. Julien, Romantics & Classics (Raven)

    Some of the recordings recommended by listeners and released before July 2007 are listed here.


    BACK to Toccata in F: Bach, Chakras, Tarot

    Other aspects of the "4-fold world and center" with tables

    The seasons are related to the cycle of signs and kundalini presented above, symbolized by the caduceus. This is the same movement from dark and cold up to light and hot represented by the ladder of planets where we climb from dark, cold Saturn up to the hot, bright Sun. The season of Spring here represents the "liberating" phase, in which life is liberated from the dark and cold, while Autumn in the "manifesting" phase; even though it might also seem as if in Springtime things are "manifesting." This is another example of how symbols can sometimes switch around in their meaning. Spring therefore in the first table below will be correlated to the yin (liberating) water element, which is also related to the Direction West. It might seem as if Spring, when the light is increasing, is analagous to sunrise in the East; but since the Sun appears to move through the Houses in a reverse direction each day from its movement through the zodiac and the seasons, things are reversed; so that in the northern hemisphere the 10th sign Capricorn (Winter, when things are darkest), is equivalent to the 10th house (Noon, when the light is bright). This paradox can represent the ultimate connection between the spiritual and the material, the inward Sun of enlightenment and the outer world represented by Saturn.

    The four humors, and the four temperaments related to them, certainly correspond to the elements-- but these also correspond to the chakras, as we saw in the earlier table of exalted planets and chakras; thus to the male ascending line-- and to the toccata and tarot journey. This is also the chakra backbone and the central column on the Tree of Life; and the color spectrum rather than the color wheel.

    Sanguine, the most happy temperament, is linked traditionally to blood and to air. We see that the 5th chakra (adaptation, purification and expression) is air, and that the virtue card "Temperance" is located there too, which means "proper mix of temperament." Seen this way, the 4 temperaments are arranged in ascending order, as we move up the chakras and (we hope) our mood improves (this also resembles other ascending patterns, like the Maslow hierarchy of needs, the scientology tone scale, the Hawkins power scale, developmental scales, etc.). Thus the choleric temperament, linked to yellow bile and fire and considered vindictive and angry, is found at the 3rd chakra of will. In its refined form it is the virtue Strength. The phlegmatic temperament, linked to phlegm and water and considered sluggish, is found at the 2nd chakra of pleasure (The Lovers). In its refined form it is sensuous Love. The melancholic temperament, linked to black bile and earth and considered sad, is found at the 1st chakra of survival. In its refined form it is Faith (The Fool), survival and initiative. Faith is the "root virtue" in that it allows us to move forward and live (survive). Its opposites are fear and despair (melancholy). And of course the value of money (merchants, bourgeoisie), so necesssary to survival, depends on faith and confidence. Sometimes the 1st chakra is considered to be the seat of inherited beliefs too.

    The central 4th chakra, and the highest 7th chakra, are related to the spirit element, which takes our temperament beyond the physical humors to the spiritual virtues (Justice and Wisdom/World respectively), carried by the "humor" of consciousness that suffuses our bodies. Hope is related to the 6th chakra of vision (corresponding to The Star card, ruled by Aquarius-- sign of hope), and can be grouped with Temperance, blood and sanguine at the 5th chakra. Thus we see the place of all 7 virtues; the 4 Platonic or cardinal virtues (Temperance, Strength, Wisdom and Justice) and the 3 Christian virtues (Faith, Hope and Love). In our spiritual journey, we convert our inherited physical "temperament" into the corresponding spiritual "virtue."

    With these considerations, and others, we can also place these aspects of the four-fold world in an extended table. Here "swords," which is usually interpreted as "sorrow," is in the same position as sanguine, which means cheerfulness. But I think "sorrow" may be too negative an interpretation of the swords suit. If we think of the meaning of swords as contemplation, investigation and thought, and read the cards that way, we can see how "swords" and "sanguine" both relate to the air element; even though our runaway thoughts often bring worry and anxiety too. The Temperance card, located in the 5th chakra, carries these meanings. Also notice that Strength (choleric) is related to intuition, and this makes sense when intuition is interpreted as knowledge of enduring, eternal truths and values (often taught by priests), which bring strength through stability and endurance.

    Since "cold and dark" represents the base chakra and Winter in our kundalini scheme, and the base chakra represents the earth element, I associate cold with earth. Cold also represents matter in its slowest and most solid (earthy) state. Its opposite hot is equivalent to fire. Water and wet are equivalent, while its opposites are air and dry. Fire and water are sometimes called "the parent elements," and we notice that fire is hot, but also dry (thus giving birth to air), and water is wet, but also cold (giving birth to earth). Fire cannot be wet or cold, and water cannot be dry, but air (the element of communication) and to a lesser extent earth can contain all the other conditions. The 5th element spirit represents the condition of matter as alive and conscious-- in living things for sure, and perhaps in all things too. The Chinese represented this 5th element as "wood," but did not include "air" ("metal" being the equivalent).

    Unfortunately, Placing the weather conditions (cold, hot, dry, wet) in this table does not match the seasons, since the element of the fixed sign of each season, determines where I place the related weather condition. Since cold is earth, that means here it must be correlated to the Spring sign, the earth-sign Taurus. Though we can try to coordinate them, the 12 signs do not match the four seasons, four elements and four weather conditions, because there are three different signs in each season.

    I include other planetary correlations here which were too complicated and confusing to include in the table on the main page, since the same planets can be placed in different columns depending on the context. So here is the extended four-fold quincunx table; still in toccata order:

    Imperial Tarot cards #1-5 EmperorPope/High PriestMagicianEmpressPapess/High Priestess
    Bach Toccata in F portionfirst canon pt.1first canon pt.2first pedal solosecond canon pt.1second canon pt.2
    Element/weatherair/dryfire/hotspirit/alive earth/coldwater/wet
    SeasonWinterSummerthe poles/equatorSpringAutumn
    Fixed Sign/CreatureAquarius/ManLeo/LionWorld Soul/SophiaTaurus/BullScorpio/Eagle
    Temperament/fluidsanguine/bloodcholeric/yellow bilewise/consciousnessmelancholic/black bile phlegmatic/phlegm
    VirtueTemperance/HopeStrengthJustice/Wisdom FaithLove
    Tarot Suitswordswandstrumpscoins cups
    Functionthinkingintuitionindividuation sensationfeeling
    Philosophyrationalismessentialismspiritualism empiricismexistentialism
    Social Classnoblespriesthoodseekers bourgeoisieproletariat
    Outer PlanetSaturnJupiterPlutoUranus Neptune
    Governmentaristocracy (Federalist/Tory)theocracy (Christian parties)ecological (Green Party)republican (Republican)socialism (Democratic/Labour)
    Planets/sephirothMercury/gloryMars/severity Sun/beautyVenus/victoryJupiter/mercy

    The seasons relate to cyclic movement, while the four quadrants and directions are static spaces. In the former, fire and air are opposites; in the latter (as in table here), fire and earth are opposites. In some other schemes, fire and water are opposites. In these schemes, as in the chakras, the air element is highest.

    Cyclic Table

    In the table below, then, I place the seasons in cyclic order and show some resulting correlations. Since there is so much difference in weather between the early and late parts of a season, there aren't really just 4 seasons, but 12 (the signs of the zodiac); this may be why correlating the seasons is more problematic.

    In the Generations Theory put forward by Strauss and Howe, 21-year "generations" move in a 4-fold cycle called "turnings," which symbolically are the 4 seasons of life. But I have noticed that these generational "seasons" (the 4 turnings) really correspond to day and night instead. Whereas during the seasons the Sun travels through the zodiac of signs, in this daily cycle, the Sun travels through the astrological houses, which are correlated in reverse order to the signs. For example, a day starts at Midnight, which is the 4th house, corresponding to Cancer. Just past midnight it moves into the 3rd house, which corresponds to Gemini (backward through the signs). Just before sunrise is the first house, corresponding to the first sign Aries. But as the Sun rises over the horizon it enters the 12th house, which corresponds to Pisces (backward from Aries); and so on. The four cardinal points, midnight (4th house/Cancer/water), sunrise (first house/Aries/fire), noon (10th house/Capricorn/earth), and sunset (7th house/Libra/air), correspond in that order to the 4 turnings, and to the generation in young adulthood at each turning. I have placed my correlations for the seasons, generations and turnings in the cyclic table below.

    SeasonSpringSummerAutumnWinter
    Fixed Zodiac SignTaurus/BullLeo/LionScorpio/EagleAquarius/Man
    cardinal pointNoon/CapricornSunrise/AriesMidnight/CancerSunset/Libra
    Turning/Generation3.nomad (X)2.prophet (Boomer)1.artist (Silent)4.civic (Greatest/Y-Millennial)
    Elementearthfirewaterair
    Suitcoinswandscupsswords
    Functionsensationintuitionfeelingthinking
    Philosophyempiricismessentialismexistentialismrationalism
    Classmerchantpriestpeasantnoble
    Temperament/Virtuemelancholic/Faithcholeric/Strengthphlegmatic/Lovesanguine/Temperance
    Jungian TypeSTNFSFNT
    Imperial tarot cardEmpressHigh PriestHigh PriestessEmperor
    Tetragrammaton2nd HehYod1st HehVav
    Toccata World chordfinal tonic chord1st note or chord: a major 3rd1st tonic chord7th chord

    The philosophy wheel order doesn't fit as well here in the cyclic table, as it does in the static non-cyclic tables. This is because on the wheel, yang is always placed on the east (fire/essentialism and air/rationalism are yang) and yin on the west (water/existentialism and earth/empiricism are yin). In a cyclic order, yang and yin alternate; switching back and forth like the caduceus. For example, on the philosophy wheel, reason, which corresponds to air, is placed at the east. But here, air corresponds to sunset (Libra), at which time the Sun is in the west. On the philosophy wheel, the two upper quadrant philosophies (existentialism and essentialism), and their meanings, switch places from where they are here on the cyclic wheel. In other words, the philosophies from right to left across the table do not follow their order on the wheel, but shift back and forth between opposites: empiricism to essentialism, its opposite; then existentialism to rationalism.

    Here in this cyclic table above, perhaps the old meaning of swords (air) as "sorrow" fits after all, and sanguine means learning to be cheerful in spite of the cold and "sorrowful" conditions of Winter. The civic generations exhibit just such traits, according to Strauss and Howe, authors of Generations theory, even though they come of age in a Great Crisis (a "winter").



    BACK to the "imperial" four-fold quincunx table

    Mathematical patterns in the Toccata in F, S.540

    The famous fibonacci series of "divine proportion" is a ratio between numbers or lines. The ratio of two numbers or line segments, where one (call it A) is about 1.6 times longer than the other (B), is the same ratio as that between the longer line, and both lines together. This is expressed as A is to B, as A+B is to A. This ratio creates a spiral that goes on forever, as illustrated by the famous image of rectangles within rectangles in which a spiral is drawn. See Robert Place's web page on Leonardo da Vinci for details and illustrations.

    Besides what I reported above, I studied the number of bars (measures) in each chakra section of Bach's Toccata in F, S. 540. Each chakra section is marked off in my sheetmusic edition by the editor, Marcel Dupre. Since the Toccata is in 3/8 time, that means it has 3 eighth-notes per measure; in fact, usually 6 sixteenth notes. One note to add, is that Lionel Rogg in his 1970 performance at Arlesheim only plays 82 bars of chakra 2, dropping 4 bars from the 2nd pedal solo. So does Walcha on You Tube. This is probably because, like other 18th century and earlier organs, it does not have the high pedal keys required to play those four measures.

    As I mentioned above, each section of the Toccata is linked to a chakra, and each has a "liberating" portion representing the upward-flowing current around each chakra, and a "manifesting" portion representing the downward-flowing current. Here are the number of bars in each section, with the proportions between their 2 portions (remember the divine proportion or PHI is 1.6180339...):

    chakra sectionbarslib.portionmanif.portion lib/manif.total/lib.total plus lib. sectiondivided by total =
    (1)8254281.928571.518136 1.6585
    (2)8654321.68751.592140 1.6279
    (3)6949 (incl. "chariot")212.28571.4375117 1.6956
    (4)5232201.61.62584 1.6154
    (5)6241211.952381.512103 1.661
    (6-7)8742 (ch.6, incl."Sun")45(ch.7).93332.0714 1291.4827

    As you can see, in chakra 4 (the heart), the proportions comparing the 2 sections (liberating and manifesting) almost match the divine proportion, and they also come close to doing so in chakra 2.

    All 6 liberating portions together add up to 271 bars, and all 6 manifesting portions add up to 167 bars. 271 divided by 167 = 1.6227. Looking from end to end instead of side to side, we can compare the first three sections, plus the first half of the 4th (heart), to the second half of the 4th, plus 5th, 6th and 7th. We get a similar proportion. From the base to the middle of the heart is 269 bars, and from the middle of the heart to the crown is 169 bars. 269 divided by 169 = 1.5917.

    If instead of composing 52 bars in chakra 4, consisting of 32 plus 20 bars, Bach had composed 55 bars consisting of 34 plus 21, the numbers would have matched the Fibonacci sequence and the divine proportion exactly. Also, in chakra 2, if instead of 86 bars consisting of 54+32, he had composed 89 bars consisting of 55 plus 34, that also would have matched the divine proportion. One wonders if he thought about this. I surmise that the canons have to be an even number of bars, if one hand is to imitate the other, just two bars afterward. So, 54 bars instead of 55.

    Some other patterns are apparent. If we divide the Toccata into the 3 parts that correspond to the 3 parts of the soul, and the 3 parts of the Tarot journey according to Robert Place, the "chariot" section introducing the third chakra is then subtracted from that chakra, and added to the 2nd and 1st to represent the "lower soul." Also, the "devil" section (the manifesting portion of chakra 5) is subtracted from the chakra 5 section and added to the last 2 sections, together representing the higher part of the soul.

    The proportions between the three parts of the soul are thus: (lower part)=175 bars, (middle part)=155 bars, and (higher part)=108 bars. Total bars in the Toccata is 438.

    Notice that the higher spiritual part of the soul has 108 bars. This is a very sacred number in itself, which is linked to the great year and other astronomical phenomena. Notice also in the table above, that the first two liberating sections (the two snake-like, double-helix canons) each have 54 bars. 54 x 2 = 108. As above, so below.

    Interestingly, the number 54 x 10 = 540-- the very number Schmeider chose for this Toccata in his catalogue of Bach Works, known as the BWV. Quite a coincidence. Of course, 108 x 5 also = 540.

    When 175 (# bars in lower soul portion) is divided by 108 (# bars in higher soul portion) the proportion is 1.62, close to the divine proportion of 1.618.

    As I mentioned, the central bar of the Toccata comes during the great chords of the Wheel of Fortune section, in the middle of the 3rd chakra section (bar 219), representing the navel or solar plexus. Bar 271 of the Toccata, closest to the golden ratio of 1.618 when compared to all 438 bars, comes during the poignant introduction to The Hanged Man section, the very center of the Heart or 4th chakra. The 3rd chakra is the center of our will, and the 4th chakra is the "golden" center of our soul.

    Looking the other way, reversing the direction of the divine proportion, the second pedal solo ends at bar 168, leaving 270 bars for the rest of the toccata. So the fiery, "piercing" entry of the chariot theme (transition to 3rd chakra) comes at the divine proportion point, looking at the toccata backward (or downward). You can watch the status bar on You Tube performances to graphically see the divine proportion at these points of the piece.

    Robert M. Place shows Leonardo Da Vinci's Vitruvian Man and its relationship to The Tarot. Leonardo places the Man inside an overlapping square and circle. The square represents our physical nature (the 4 minor suits), and the circle our spiritual journey (the trumps). The center of the square is located at the 1st or 2nd chakra, the groin. When focused on sexuality, we are centered on the physical. But when we look at the divine proportion point on the central up/down axis (along the backbone and between the legs) of the man inside the square, it is located at the 3rd chakra (navel, or solar plexus). This is also the central point of the circle. Place points out all this and more. I go on to observe that, at the divine proportion point on the axis within the circle (including the portion of the circle that rises above his head), is the Man's heart. This of course matches Bach's Toccata in F; which thereby describes The Man within the spiritual circle (or his spiritual journey), with his 3rd chakra at the center of the circle, and his heart at the golden proportion point on the up and down axis of the circle.

    There may be other mathematical patterns to notice in the Toccata, which I will report here if I find them.



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