Chords of magic: Difference between revisions
Wikispaces>FREEZE No edit summary |
Cleanup; +categories |
||
| Line 1: | Line 1: | ||
Below are listed the [[ | Below are listed the [[dyadic chord]]s of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates [[10/9]] and [[11/10]] and so also [[9/5]] and [[20/11]]. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5. | ||
Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/ | Chords requiring tempering only by [[225/224]] are labeled [[Marvel chords|marvel]], by [[245/243]] [[Sensamagic chords|sensamagic]], by [[100/99]] [[Ptolemismic triad|ptolemismic]], by [[896/891]] [[Pentacircle chords|pentacircle]], by [[385/384]] [[Keenanismic chords|keenanismic]], and by [[540/539]] [[Swetismic chords|swetismic]]. Those requiring any two of 225/224, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 [[Undecimal marvel chords|unimarvel]]. Chords requiring both 100/99 and 385/384 are labeled [[Magical seventh chord|supermagic]]. Finally, anything requiring three independent commas among those discussed above is labeled magic. | ||
Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better. | Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better. | ||
=Triads= | == Triads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
|- | |- | ||
| 1 | |||
| 0-1-2 | |||
| 1-5/4-14/9 | |||
| marvel | |||
|- | |- | ||
| 2 | |||
| 0-2-4 | |||
| 1-14/9-6/5 | |||
| sensamagic | |||
|- | |- | ||
| 3 | |||
| 0-1-5 | |||
| 1-5/4-3/2 | |||
| otonal | |||
|- | |- | ||
| 4 | |||
| 0-4-5 | |||
| 1-6/5-3/2 | |||
| utonal | |||
|- | |- | ||
| 5 | |||
| 0-2-7 | |||
| 1-14/9-7/6 | |||
| utonal | |||
|- | |- | ||
| 6 | |||
| 0-5-7 | |||
| 1-3/2-7/6 | |||
| otonal | |||
|- | |- | ||
| 7 | |||
| 0-1-8 | |||
| 1-5/4-16/11 | |||
| keenanismic | |||
|- | |- | ||
| 8 | |||
| 0-4-8 | |||
| 1-6/5-16/11 | |||
| ptolemismic | |||
|- | |- | ||
| 9 | |||
| 0-7-8 | |||
| 1-7/6-16/11 | |||
| keenanismic | |||
|- | |- | ||
| 10 | |||
| 0-1-9 | |||
| 1-5/4-20/11 | |||
| utonal | |||
|- | |- | ||
| 11 | |||
| 0-2-9 | |||
| 1-14/9-9/5 | |||
| sensamagic | |||
|- | |- | ||
| 12 | |||
| 0-4-9 | |||
| 1-6/5-9/5 | |||
| otonal | |||
|- | |- | ||
| 13 | |||
| 0-5-9 | |||
| 1-3/2-9/5 | |||
| utonal | |||
|- | |- | ||
| 14 | |||
| 0-7-9 | |||
| 1-7/6-9/5 | |||
| sensamagic | |||
|- | |- | ||
| 15 | |||
| 0-8-9 | |||
| 1-16/11-20/11 | |||
| otonal | |||
|- | |- | ||
| 16 | |||
| 0-1-10 | |||
| 1-5/4-9/8 | |||
| otonal | |||
|- | |- | ||
| 17 | |||
| 0-2-10 | |||
| 1-14/9-9/8 | |||
| pentacircle | |||
|- | |- | ||
| 18 | |||
| 0-5-10 | |||
| 1-3/2-9/8 | |||
| ambitonal | |||
|- | |- | ||
| 19 | |||
| 0-8-10 | |||
| 1-16/11-9/8 | |||
| pentacircle | |||
|- | |- | ||
| 20 | |||
| 0-9-10 | |||
| 1-9/5-9/8 | |||
| utonal | |||
|- | |- | ||
| 21 | |||
| 0-1-11 | |||
| 1-5/4-7/5 | |||
| marvel | |||
|- | |- | ||
| 22 | |||
| 0-2-11 | |||
| 1-14/9-7/5 | |||
| utonal | |||
|- | |- | ||
| 23 | |||
| 0-4-11 | |||
| 1-6/5-7/5 | |||
| otonal | |||
|- | |- | ||
| 24 | |||
| 0-7-11 | |||
| 1-7/6-7/5 | |||
| utonal | |||
|- | |- | ||
| 25 | |||
| 0-9-11 | |||
| 1-9/5-7/5 | |||
| otonal | |||
|- | |- | ||
| 26 | |||
| 0-10-11 | |||
| 1-9/8-7/5 | |||
| marvel | |||
|- | |- | ||
| 27 | |||
| 0-1-12 | |||
| 1-5/4-7/4 | |||
| otonal | |||
|- | |- | ||
| 28 | |||
| 0-2-12 | |||
| 1-14/9-7/4 | |||
| utonal | |||
|- | |- | ||
| 29 | |||
| 0-4-12 | |||
| 1-6/5-7/4 | |||
| keenanismic | |||
|- | |- | ||
| 30 | |||
| 0-5-12 | |||
| 1-3/2-7/4 | |||
| otonal | |||
|- | |- | ||
| 31 | |||
| 0-7-12 | |||
| 1-7/6-7/4 | |||
| utonal | |||
|- | |- | ||
| 32 | |||
| 0-8-12 | |||
| 1-16/11-7/4 | |||
| keenanismic | |||
|- | |- | ||
| 33 | |||
| 0-10-12 | |||
| 1-9/8-7/4 | |||
| otonal | |||
|- | |- | ||
| 34 | |||
| 0-11-12 | |||
| 1-7/5-7/4 | |||
| utonal | |||
|- | |- | ||
| 35 | |||
| 0-1-13 | |||
| 1-5/4-12/11 | |||
| keenanismic | |||
|- | |- | ||
| 36 | |||
| 0-2-13 | |||
| 1-14/9-12/11 | |||
| swetismic | |||
|- | |- | ||
| 37 | |||
| 0-4-13 | |||
| 1-6/5-12/11 | |||
| utonal | |||
|- | |- | ||
| 38 | |||
| 0-5-13 | |||
| 1-3/2-12/11 | |||
| utonal | |||
|- | |- | ||
| 39 | |||
| 0-8-13 | |||
| 1-16/11-12/11 | |||
| otonal | |||
|- | |- | ||
| 40 | |||
| 0-9-13 | |||
| 1-20/11-12/11 | |||
| otonal | |||
|- | |- | ||
| 41 | |||
| 0-11-13 | |||
| 1-7/5-12/11 | |||
| swetismic | |||
|- | |- | ||
| 42 | |||
| 0-12-13 | |||
| 1-7/4-12/11 | |||
| keenanismic | |||
|- | |- | ||
| 43 | |||
| 0-5-18 | |||
| 1-3/2-18/11 | |||
| utonal | |||
|- | |- | ||
| 44 | |||
| 0-7-18 | |||
| 1-7/6-18/11 | |||
| swetismic | |||
|- | |- | ||
| 45 | |||
| 0-8-18 | |||
| 1-16/11-18/11 | |||
| otonal | |||
|- | |- | ||
| 46 | |||
| 0-9-18 | |||
| 1-9/5-18/11 | |||
| utonal | |||
|- | |- | ||
| 47 | |||
| 0-10-18 | |||
| 1-9/8-18/11 | |||
| utonal | |||
|- | |- | ||
| 48 | |||
| 0-11-18 | |||
| 1-7/5-18/11 | |||
| swetismic | |||
|- | |- | ||
| 49 | |||
| 0-13-18 | |||
| 1-12/11-18/11 | |||
| otonal | |||
|- | |- | ||
| 50 | |||
| 0-2-20 | |||
| 1-14/9-14/11 | |||
| utonal | |||
|- | |- | ||
| 51 | |||
| 0-7-20 | |||
| 1-7/6-14/11 | |||
| utonal | |||
|- | |- | ||
| 52 | |||
| 0-8-20 | |||
| 1-16/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 53 | |||
| 0-9-20 | |||
| 1-20/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 54 | |||
| 0-10-20 | |||
| 1-9/8-14/11 | |||
| pentacircle | |||
|- | |- | ||
| 55 | |||
| 0-11-20 | |||
| 1-7/5-14/11 | |||
| utonal | |||
|- | |- | ||
| 56 | |||
| 0-12-20 | |||
| 1-7/4-14/11 | |||
| utonal | |||
|- | |- | ||
| 57 | |||
| 0-13-20 | |||
| 1-12/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 58 | |||
| 0-18-20 | |||
| 1-18/11-14/11 | |||
| otonal | |||
|} | |} | ||
=Tetrads= | == Tetrads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
|- | |- | ||
| 1 | |||
| 0-1-2-9 | |||
| 1-5/4-14/9-9/5 | |||
| magic | |||
|- | |- | ||
| 2 | |||
| 0-2-4-9 | |||
| 1-14/9-6/5-9/5 | |||
| sensamagic | |||
|- | |- | ||
| 3 | |||
| 0-1-5-9 | |||
| 1-5/4-3/2-9/5 | |||
| ptolemismic | |||
|- | |- | ||
| 4 | |||
| 0-4-5-9 | |||
| 1-6/5-3/2-9/5 | |||
| ambitonal | |||
|- | |- | ||
| 5 | |||
| 0-2-7-9 | |||
| 1-14/9-7/6-9/5 | |||
| sensamagic | |||
|- | |- | ||
| 6 | |||
| 0-5-7-9 | |||
| 1-3/2-7/6-9/5 | |||
| sensamagic | |||
|- | |- | ||
| 7 | |||
| 0-1-8-9 | |||
| 1-5/4-16/11-9/5 | |||
| supermagic | |||
|- | |- | ||
| 8 | |||
| 0-4-8-9 | |||
| 1-6/5-16/11-9/5 | |||
| ptolemismic | |||
|- | |- | ||
| 9 | |||
| 0-7-8-9 | |||
| 1-7/6-16/11-9/5 | |||
| magic | |||
|- | |- | ||
| 10 | |||
| 0-1-2-10 | |||
| 1-5/4-14/9-9/8 | |||
| apollo | |||
|- | |- | ||
| 11 | |||
| 0-1-5-10 | |||
| 1-5/4-3/2-9/8 | |||
| otonal | |||
|- | |- | ||
| 12 | |||
| 0-1-8-10 | |||
| 1-5/4-16/11-9/8 | |||
| sensamagic11 | |||
|- | |- | ||
| 13 | |||
| 0-1-9-10 | |||
| 1-5/4-9/5-9/8 | |||
| ptolemismic | |||
|- | |- | ||
| 14 | |||
| 0-2-9-10 | |||
| 1-14/9-9/5-9/8 | |||
| sensamagic11 | |||
|- | |- | ||
| 15 | |||
| 0-5-9-10 | |||
| 1-3/2-9/5-9/8 | |||
| utonal | |||
|- | |- | ||
| 16 | |||
| 0-8-9-10 | |||
| 1-16/11-9/5-9/8 | |||
| apollo | |||
|- | |- | ||
| 17 | |||
| 0-1-2-11 | |||
| 1-5/4-14/9-7/5 | |||
| marvel | |||
|- | |- | ||
| 18 | |||
| 0-2-4-11 | |||
| 1-14/9-6/5-7/5 | |||
| sensamagic | |||
|- | |- | ||
| 19 | |||
| 0-2-7-11 | |||
| 1-14/9-7/6-7/5 | |||
| utonal | |||
|- | |- | ||
| 20 | |||
| 0-1-9-11 | |||
| 1-5/4-9/5-7/5 | |||
| apollo | |||
|- | |- | ||
| 21 | |||
| 0-2-9-11 | |||
| 1-14/9-9/5-7/5 | |||
| sensamagic | |||
|- | |- | ||
| 22 | |||
| 0-4-9-11 | |||
| 1-6/5-9/5-7/5 | |||
| otonal | |||
|- | |- | ||
| 23 | |||
| 0-7-9-11 | |||
| 1-7/6-9/5-7/5 | |||
| sensamagic | |||
|- | |- | ||
| 24 | |||
| 0-1-10-11 | |||
| 1-5/4-9/8-7/5 | |||
| marvel | |||
|- | |- | ||
| 25 | |||
| 0-2-10-11 | |||
| 1-14/9-9/8-7/5 | |||
| apollo | |||
|- | |- | ||
| 26 | |||
| 0-9-10-11 | |||
| 1-9/5-9/8-7/5 | |||
| marvel | |||
|- | |- | ||
| 27 | |||
| 0-1-2-12 | |||
| 1-5/4-14/9-7/4 | |||
| marvel | |||
|- | |- | ||
| 28 | |||
| 0-2-4-12 | |||
| 1-14/9-6/5-7/4 | |||
| sensamagic11 | |||
|- | |- | ||
| 29 | |||
| 0-1-5-12 | |||
| 1-5/4-3/2-7/4 | |||
| otonal | |||
|- | |- | ||
| 30 | |||
| 0-4-5-12 | |||
| 1-6/5-3/2-7/4 | |||
| keenanismic | |||
|- | |- | ||
| 31 | |||
| 0-2-7-12 | |||
| 1-14/9-7/6-7/4 | |||
| utonal | |||
|- | |- | ||
| 32 | |||
| 0-5-7-12 | |||
| 1-3/2-7/6-7/4 | |||
| ambitonal | |||
|- | |- | ||
| 33 | |||
| 0-1-8-12 | |||
| 1-5/4-16/11-7/4 | |||
| keenanismic | |||
|- | |- | ||
| 34 | |||
| 0-4-8-12 | |||
| 1-6/5-16/11-7/4 | |||
| supermagic | |||
|- | |- | ||
| 35 | |||
| 0-7-8-12 | |||
| 1-7/6-16/11-7/4 | |||
| keenanismic | |||
|- | |- | ||
| 36 | |||
| 0-1-10-12 | |||
| 1-5/4-9/8-7/4 | |||
| otonal | |||
|- | |- | ||
| 37 | |||
| 0-2-10-12 | |||
| 1-14/9-9/8-7/4 | |||
| pentacircle | |||
|- | |- | ||
| 38 | |||
| 0-5-10-12 | |||
| 1-3/2-9/8-7/4 | |||
| otonal | |||
|- | |- | ||
| 39 | |||
| 0-8-10-12 | |||
| 1-16/11-9/8-7/4 | |||
| sensamagic11 | |||
|- | |- | ||
| 40 | |||
| 0-1-11-12 | |||
| 1-5/4-7/5-7/4 | |||
| marvel | |||
|- | |- | ||
| 41 | |||
| 0-2-11-12 | |||
| 1-14/9-7/5-7/4 | |||
| utonal | |||
|- | |- | ||
| 42 | |||
| 0-4-11-12 | |||
| 1-6/5-7/5-7/4 | |||
| keenanismic | |||
|- | |- | ||
| 43 | |||
| 0-7-11-12 | |||
| 1-7/6-7/5-7/4 | |||
| utonal | |||
|- | |- | ||
| 44 | |||
| 0-10-11-12 | |||
| 1-9/8-7/5-7/4 | |||
| marvel | |||
|- | |- | ||
| 45 | |||
| 0-1-2-13 | |||
| 1-5/4-14/9-12/11 | |||
| unimarvel | |||
|- | |- | ||
| 46 | |||
| 0-2-4-13 | |||
| 1-14/9-6/5-12/11 | |||
| octarod | |||
|- | |- | ||
| 47 | |||
| 0-1-5-13 | |||
| 1-5/4-3/2-12/11 | |||
| keenanismic | |||
|- | |- | ||
| 48 | |||
| 0-4-5-13 | |||
| 1-6/5-3/2-12/11 | |||
| utonal | |||
|- | |- | ||
| 49 | |||
| 0-1-8-13 | |||
| 1-5/4-16/11-12/11 | |||
| keenanismic | |||
|- | |- | ||
| 50 | |||
| 0-4-8-13 | |||
| 1-6/5-16/11-12/11 | |||
| ptolemismic | |||
|- | |- | ||
| 51 | |||
| 0-1-9-13 | |||
| 1-5/4-9/5-12/11 | |||
| supermagic | |||
|- | |- | ||
| 52 | |||
| 0-2-9-13 | |||
| 1-14/9-9/5-12/11 | |||
| octarod | |||
|- | |- | ||
| 53 | |||
| 0-4-9-13 | |||
| 1-6/5-9/5-12/11 | |||
| ptolemismic | |||
|- | |- | ||
| 54 | |||
| 0-5-9-13 | |||
| 1-3/2-9/5-12/11 | |||
| ptolemismic | |||
|- | |- | ||
| 55 | |||
| 0-8-9-13 | |||
| 1-16/11-20/11-12/11 | |||
| otonal | |||
|- | |- | ||
| 56 | |||
| 0-1-11-13 | |||
| 1-5/4-7/5-12/11 | |||
| unimarvel | |||
|- | |- | ||
| 57 | |||
| 0-2-11-13 | |||
| 1-14/9-7/5-12/11 | |||
| swetismic | |||
|- | |- | ||
| 58 | |||
| 0-4-11-13 | |||
| 1-6/5-7/5-12/11 | |||
| octarod | |||
|- | |- | ||
| 59 | |||
| 0-9-11-13 | |||
| 1-9/5-7/5-12/11 | |||
| octarod | |||
|- | |- | ||
| 60 | |||
| 0-1-12-13 | |||
| 1-5/4-7/4-12/11 | |||
| keenanismic | |||
|- | |- | ||
| 61 | |||
| 0-2-12-13 | |||
| 1-14/9-7/4-12/11 | |||
| unimarvel | |||
|- | |- | ||
| 62 | |||
| 0-4-12-13 | |||
| 1-6/5-7/4-12/11 | |||
| supermagic | |||
|- | |- | ||
| 63 | |||
| 0-5-12-13 | |||
| 1-3/2-7/4-12/11 | |||
| keenanismic | |||
|- | |- | ||
| 64 | |||
| 0-8-12-13 | |||
| 1-16/11-7/4-12/11 | |||
| keenanismic | |||
|- | |- | ||
| 65 | |||
| 0-11-12-13 | |||
| 1-7/5-7/4-12/11 | |||
| unimarvel | |||
|- | |- | ||
| 66 | |||
| 0-5-7-18 | |||
| 1-3/2-7/6-18/11 | |||
| swetismic | |||
|- | |- | ||
| 67 | |||
| 0-7-8-18 | |||
| 1-7/6-16/11-18/11 | |||
| unimarvel | |||
|- | |- | ||
| 68 | |||
| 0-5-9-18 | |||
| 1-3/2-9/5-18/11 | |||
| utonal | |||
|- | |- | ||
| 69 | |||
| 0-7-9-18 | |||
| 1-7/6-9/5-18/11 | |||
| octarod | |||
|- | |- | ||
| 70 | |||
| 0-8-9-18 | |||
| 1-16/11-20/11-18/11 | |||
| otonal | |||
|- | |- | ||
| 71 | |||
| 0-5-10-18 | |||
| 1-3/2-9/8-18/11 | |||
| utonal | |||
|- | |- | ||
| 72 | |||
| 0-8-10-18 | |||
| 1-16/11-9/8-18/11 | |||
| pentacircle | |||
|- | |- | ||
| 73 | |||
| 0-9-10-18 | |||
| 1-9/5-9/8-18/11 | |||
| utonal | |||
|- | |- | ||
| 74 | |||
| 0-7-11-18 | |||
| 1-7/6-7/5-18/11 | |||
| swetismic | |||
|- | |- | ||
| 75 | |||
| 0-9-11-18 | |||
| 1-9/5-7/5-18/11 | |||
| octarod | |||
|- | |- | ||
| 76 | |||
| 0-10-11-18 | |||
| 1-9/8-7/5-18/11 | |||
| unimarvel | |||
|- | |- | ||
| 77 | |||
| 0-5-13-18 | |||
| 1-3/2-12/11-18/11 | |||
| ambitonal | |||
|- | |- | ||
| 78 | |||
| 0-8-13-18 | |||
| 1-16/11-12/11-18/11 | |||
| otonal | |||
|- | |- | ||
| 79 | |||
| 0-9-13-18 | |||
| 1-20/11-12/11-18/11 | |||
| otonal | |||
|- | |- | ||
| 80 | |||
| 0-11-13-18 | |||
| 1-7/5-12/11-18/11 | |||
| swetismic | |||
|- | |- | ||
| 81 | |||
| 0-2-7-20 | |||
| 1-14/9-7/6-14/11 | |||
| utonal | |||
|- | |- | ||
| 82 | |||
| 0-7-8-20 | |||
| 1-7/6-16/11-14/11 | |||
| keenanismic | |||
|- | |- | ||
| 83 | |||
| 0-2-9-20 | |||
| 1-14/9-9/5-14/11 | |||
| octarod | |||
|- | |- | ||
| 84 | |||
| 0-7-9-20 | |||
| 1-7/6-9/5-14/11 | |||
| octarod | |||
|- | |- | ||
| 85 | |||
| 0-8-9-20 | |||
| 1-16/11-20/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 86 | |||
| 0-2-10-20 | |||
| 1-14/9-9/8-14/11 | |||
| pentacircle | |||
|- | |- | ||
| 87 | |||
| 0-8-10-20 | |||
| 1-16/11-9/8-14/11 | |||
| pentacircle | |||
|- | |- | ||
| 88 | |||
| 0-9-10-20 | |||
| 1-9/5-9/8-14/11 | |||
| apollo | |||
|- | |- | ||
| 89 | |||
| 0-2-11-20 | |||
| 1-14/9-7/5-14/11 | |||
| utonal | |||
|- | |- | ||
| 90 | |||
| 0-7-11-20 | |||
| 1-7/6-7/5-14/11 | |||
| utonal | |||
|- | |- | ||
| 91 | |||
| 0-9-11-20 | |||
| 1-9/5-7/5-14/11 | |||
| ptolemismic | |||
|- | |- | ||
| 92 | |||
| 0-10-11-20 | |||
| 1-9/8-7/5-14/11 | |||
| apollo | |||
|- | |- | ||
| 93 | |||
| 0-2-12-20 | |||
| 1-14/9-7/4-14/11 | |||
| utonal | |||
|- | |- | ||
| 94 | |||
| 0-7-12-20 | |||
| 1-7/6-7/4-14/11 | |||
| utonal | |||
|- | |- | ||
| 95 | |||
| 0-8-12-20 | |||
| 1-16/11-7/4-14/11 | |||
| keenanismic | |||
|- | |- | ||
| 96 | |||
| 0-10-12-20 | |||
| 1-9/8-7/4-14/11 | |||
| pentacircle | |||
|- | |- | ||
| 97 | |||
| 0-11-12-20 | |||
| 1-7/5-7/4-14/11 | |||
| utonal | |||
|- | |- | ||
| 98 | |||
| 0-2-13-20 | |||
| 1-14/9-12/11-14/11 | |||
| swetismic | |||
|- | |- | ||
| 99 | |||
| 0-8-13-20 | |||
| 1-16/11-12/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 100 | |||
| 0-9-13-20 | |||
| 1-20/11-12/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 101 | |||
| 0-11-13-20 | |||
| 1-7/5-12/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 102 | |||
| 0-12-13-20 | |||
| 1-7/4-12/11-14/11 | |||
| keenanismic | |||
|- | |- | ||
| 103 | |||
| 0-7-18-20 | |||
| 1-7/6-18/11-14/11 | |||
| swetismic | |||
|- | |- | ||
| 104 | |||
| 0-8-18-20 | |||
| 1-16/11-18/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 105 | |||
| 0-9-18-20 | |||
| 1-20/11-18/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 106 | |||
| 0-10-18-20 | |||
| 1-9/8-18/11-14/11 | |||
| pentacircle | |||
|- | |- | ||
| 107 | |||
| 0-11-18-20 | |||
| 1-7/5-18/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 108 | |||
| 0-13-18-20 | |||
| 1-12/11-18/11-14/11 | |||
| otonal | |||
|} | |} | ||
=Pentads= | == Pentads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
|- | |- | ||
| 1 | |||
| 0-1-2-9-10 | |||
| 1-5/4-14/9-9/5-9/8 | |||
| magic | |||
|- | |- | ||
| 2 | |||
| 0-1-5-9-10 | |||
| 1-5/4-3/2-9/5-9/8 | |||
| ptolemismic | |||
|- | |- | ||
| 3 | |||
| 0-1-8-9-10 | |||
| 1-5/4-16/11-9/5-9/8 | |||
| magic | |||
|- | |- | ||
| 4 | |||
| 0-1-2-9-11 | |||
| 1-5/4-14/9-9/5-7/5 | |||
| magic | |||
|- | |- | ||
| 5 | |||
| 0-2-4-9-11 | |||
| 1-14/9-6/5-9/5-7/5 | |||
| sensamagic | |||
|- | |- | ||
| 6 | |||
| 0-2-7-9-11 | |||
| 1-14/9-7/6-9/5-7/5 | |||
| sensamagic | |||
|- | |- | ||
| 7 | |||
| 0-1-2-10-11 | |||
| 1-5/4-14/9-9/8-7/5 | |||
| apollo | |||
|- | |- | ||
| 8 | |||
| 0-1-9-10-11 | |||
| 1-5/4-9/5-9/8-7/5 | |||
| apollo | |||
|- | |- | ||
| 9 | |||
| 0-2-9-10-11 | |||
| 1-14/9-9/5-9/8-7/5 | |||
| magic | |||
|- | |- | ||
| 10 | |||
| 0-1-2-10-12 | |||
| 1-5/4-14/9-9/8-7/4 | |||
| apollo | |||
|- | |- | ||
| 11 | |||
| 0-1-5-10-12 | |||
| 1-5/4-3/2-9/8-7/4 | |||
| otonal | |||
|- | |- | ||
| 12 | |||
| 0-1-8-10-12 | |||
| 1-5/4-16/11-9/8-7/4 | |||
| sensamagic11 | |||
|- | |- | ||
| 13 | |||
| 0-1-2-11-12 | |||
| 1-5/4-14/9-7/5-7/4 | |||
| marvel | |||
|- | |- | ||
| 14 | |||
| 0-2-4-11-12 | |||
| 1-14/9-6/5-7/5-7/4 | |||
| sensamagic11 | |||
|- | |- | ||
| 15 | |||
| 0-2-7-11-12 | |||
| 1-14/9-7/6-7/5-7/4 | |||
| utonal | |||
|- | |- | ||
| 16 | |||
| 0-1-10-11-12 | |||
| 1-5/4-9/8-7/5-7/4 | |||
| marvel | |||
|- | |- | ||
| 17 | |||
| 0-2-10-11-12 | |||
| 1-14/9-9/8-7/5-7/4 | |||
| apollo | |||
|- | |- | ||
| 18 | |||
| 0-1-2-9-13 | |||
| 1-5/4-14/9-9/5-12/11 | |||
| magic | |||
|- | |- | ||
| 19 | |||
| 0-2-4-9-13 | |||
| 1-14/9-6/5-9/5-12/11 | |||
| octarod | |||
|- | |- | ||
| 20 | |||
| 0-1-5-9-13 | |||
| 1-5/4-3/2-9/5-12/11 | |||
| supermagic | |||
|- | |- | ||
| 21 | |||
| 0-4-5-9-13 | |||
| 1-6/5-3/2-9/5-12/11 | |||
| ptolemismic | |||
|- | |- | ||
| 22 | |||
| 0-1-8-9-13 | |||
| 1-5/4-16/11-9/5-12/11 | |||
| supermagic | |||
|- | |- | ||
| 23 | |||
| 0-4-8-9-13 | |||
| 1-6/5-16/11-9/5-12/11 | |||
| ptolemismic | |||
|- | |- | ||
| 24 | |||
| 0-1-2-11-13 | |||
| 1-5/4-14/9-7/5-12/11 | |||
| unimarvel | |||
|- | |- | ||
| 25 | |||
| 0-2-4-11-13 | |||
| 1-14/9-6/5-7/5-12/11 | |||
| octarod | |||
|- | |- | ||
| 26 | |||
| 0-1-9-11-13 | |||
| 1-5/4-9/5-7/5-12/11 | |||
| magic | |||
|- | |- | ||
| 27 | |||
| 0-2-9-11-13 | |||
| 1-14/9-9/5-7/5-12/11 | |||
| octarod | |||
|- | |- | ||
| 28 | |||
| 0-4-9-11-13 | |||
| 1-6/5-9/5-7/5-12/11 | |||
| octarod | |||
|- | |- | ||
| 29 | |||
| 0-1-2-12-13 | |||
| 1-5/4-14/9-7/4-12/11 | |||
| unimarvel | |||
|- | |- | ||
| 30 | |||
| 0-2-4-12-13 | |||
| 1-14/9-6/5-7/4-12/11 | |||
| magic | |||
|- | |- | ||
| 31 | |||
| 0-1-5-12-13 | |||
| 1-5/4-3/2-7/4-12/11 | |||
| keenanismic | |||
|- | |- | ||
| 32 | |||
| 0-4-5-12-13 | |||
| 1-6/5-3/2-7/4-12/11 | |||
| supermagic | |||
|- | |- | ||
| 33 | |||
| 0-1-8-12-13 | |||
| 1-5/4-16/11-7/4-12/11 | |||
| keenanismic | |||
|- | |- | ||
| 34 | |||
| 0-4-8-12-13 | |||
| 1-6/5-16/11-7/4-12/11 | |||
| supermagic | |||
|- | |- | ||
| 35 | |||
| 0-1-11-12-13 | |||
| 1-5/4-7/5-7/4-12/11 | |||
| unimarvel | |||
|- | |- | ||
| 36 | |||
| 0-2-11-12-13 | |||
| 1-14/9-7/5-7/4-12/11 | |||
| unimarvel | |||
|- | |- | ||
| 37 | |||
| 0-4-11-12-13 | |||
| 1-6/5-7/5-7/4-12/11 | |||
| magic | |||
|- | |- | ||
| 38 | |||
| 0-5-7-9-18 | |||
| 1-3/2-7/6-9/5-18/11 | |||
| octarod | |||
|- | |- | ||
| 39 | |||
| 0-7-8-9-18 | |||
| 1-7/6-16/11-9/5-18/11 | |||
| magic | |||
|- | |- | ||
| 40 | |||
| 0-5-9-10-18 | |||
| 1-3/2-9/5-9/8-18/11 | |||
| utonal | |||
|- | |- | ||
| 41 | |||
| 0-8-9-10-18 | |||
| 1-16/11-9/5-9/8-18/11 | |||
| apollo | |||
|- | |- | ||
| 42 | |||
| 0-7-9-11-18 | |||
| 1-7/6-9/5-7/5-18/11 | |||
| octarod | |||
|- | |- | ||
| 43 | |||
| 0-9-10-11-18 | |||
| 1-9/5-9/8-7/5-18/11 | |||
| magic | |||
|- | |- | ||
| 44 | |||
| 0-5-9-13-18 | |||
| 1-3/2-9/5-12/11-18/11 | |||
| ptolemismic | |||
|- | |- | ||
| 45 | |||
| 0-8-9-13-18 | |||
| 1-16/11-20/11-12/11-18/11 | |||
| otonal | |||
|- | |- | ||
| 46 | |||
| 0-9-11-13-18 | |||
| 1-9/5-7/5-12/11-18/11 | |||
| octarod | |||
|- | |- | ||
| 47 | |||
| 0-2-7-9-20 | |||
| 1-14/9-7/6-9/5-14/11 | |||
| octarod | |||
|- | |- | ||
| 48 | |||
| 0-7-8-9-20 | |||
| 1-7/6-16/11-9/5-14/11 | |||
| magic | |||
|- | |- | ||
| 49 | |||
| 0-2-9-10-20 | |||
| 1-14/9-9/5-9/8-14/11 | |||
| magic | |||
|- | |- | ||
| 50 | |||
| 0-8-9-10-20 | |||
| 1-16/11-9/5-9/8-14/11 | |||
| apollo | |||
|- | |- | ||
| 51 | |||
| 0-2-7-11-20 | |||
| 1-14/9-7/6-7/5-14/11 | |||
| utonal | |||
|- | |- | ||
| 52 | |||
| 0-2-9-11-20 | |||
| 1-14/9-9/5-7/5-14/11 | |||
| octarod | |||
|- | |- | ||
| 53 | |||
| 0-7-9-11-20 | |||
| 1-7/6-9/5-7/5-14/11 | |||
| octarod | |||
|- | |- | ||
| 54 | |||
| 0-2-10-11-20 | |||
| 1-14/9-9/8-7/5-14/11 | |||
| apollo | |||
|- | |- | ||
| 55 | |||
| 0-9-10-11-20 | |||
| 1-9/5-9/8-7/5-14/11 | |||
| apollo | |||
|- | |- | ||
| 56 | |||
| 0-2-7-12-20 | |||
| 1-14/9-7/6-7/4-14/11 | |||
| utonal | |||
|- | |- | ||
| 57 | |||
| 0-7-8-12-20 | |||
| 1-7/6-16/11-7/4-14/11 | |||
| keenanismic | |||
|- | |- | ||
| 58 | |||
| 0-2-10-12-20 | |||
| 1-14/9-9/8-7/4-14/11 | |||
| pentacircle | |||
|- | |- | ||
| 59 | |||
| 0-8-10-12-20 | |||
| 1-16/11-9/8-7/4-14/11 | |||
| sensamagic11 | |||
|- | |- | ||
| 60 | |||
| 0-2-11-12-20 | |||
| 1-14/9-7/5-7/4-14/11 | |||
| utonal | |||
|- | |- | ||
| 61 | |||
| 0-7-11-12-20 | |||
| 1-7/6-7/5-7/4-14/11 | |||
| utonal | |||
|- | |- | ||
| 62 | |||
| 0-10-11-12-20 | |||
| 1-9/8-7/5-7/4-14/11 | |||
| apollo | |||
|- | |- | ||
| 63 | |||
| 0-2-9-13-20 | |||
| 1-14/9-9/5-12/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 64 | |||
| 0-8-9-13-20 | |||
| 1-16/11-20/11-12/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 65 | |||
| 0-2-11-13-20 | |||
| 1-14/9-7/5-12/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 66 | |||
| 0-9-11-13-20 | |||
| 1-9/5-7/5-12/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 67 | |||
| 0-2-12-13-20 | |||
| 1-14/9-7/4-12/11-14/11 | |||
| unimarvel | |||
|- | |- | ||
| 68 | |||
| 0-8-12-13-20 | |||
| 1-16/11-7/4-12/11-14/11 | |||
| keenanismic | |||
|- | |- | ||
| 69 | |||
| 0-11-12-13-20 | |||
| 1-7/5-7/4-12/11-14/11 | |||
| magic | |||
|- | |- | ||
| 70 | |||
| 0-7-8-18-20 | |||
| 1-7/6-16/11-18/11-14/11 | |||
| unimarvel | |||
|- | |- | ||
| 71 | |||
| 0-7-9-18-20 | |||
| 1-7/6-9/5-18/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 72 | |||
| 0-8-9-18-20 | |||
| 1-16/11-20/11-18/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 73 | |||
| 0-8-10-18-20 | |||
| 1-16/11-9/8-18/11-14/11 | |||
| pentacircle | |||
|- | |- | ||
| 74 | |||
| 0-9-10-18-20 | |||
| 1-9/5-9/8-18/11-14/11 | |||
| apollo | |||
|- | |- | ||
| 75 | |||
| 0-7-11-18-20 | |||
| 1-7/6-7/5-18/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 76 | |||
| 0-9-11-18-20 | |||
| 1-9/5-7/5-18/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 77 | |||
| 0-10-11-18-20 | |||
| 1-9/8-7/5-18/11-14/11 | |||
| magic | |||
|- | |- | ||
| 78 | |||
| 0-8-13-18-20 | |||
| 1-16/11-12/11-18/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 79 | |||
| 0-9-13-18-20 | |||
| 1-20/11-12/11-18/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 80 | |||
| 0-11-13-18-20 | |||
| 1-7/5-12/11-18/11-14/11 | |||
| octarod | |||
|} | |} | ||
=Hexads= | == Hexads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
|- | |- | ||
| 1 | |||
| 0-1-2-9-10-11 | |||
| 1-5/4-14/9-9/5-9/8-7/5 | |||
| magic | |||
|- | |- | ||
| 2 | |||
| 0-1-2-10-11-12 | |||
| 1-5/4-14/9-9/8-7/5-7/4 | |||
| apollo | |||
|- | |- | ||
| 3 | |||
| 0-1-2-9-11-13 | |||
| 1-5/4-14/9-9/5-7/5-12/11 | |||
| magic | |||
|- | |- | ||
| 4 | |||
| 0-2-4-9-11-13 | |||
| 1-14/9-6/5-9/5-7/5-12/11 | |||
| octarod | |||
|- | |- | ||
| 5 | |||
| 0-1-2-11-12-13 | |||
| 1-5/4-14/9-7/5-7/4-12/11 | |||
| unimarvel | |||
|- | |- | ||
| 6 | |||
| 0-2-4-11-12-13 | |||
| 1-14/9-6/5-7/5-7/4-12/11 | |||
| magic | |||
|- | |- | ||
| 7 | |||
| 0-2-7-9-11-20 | |||
| 1-14/9-7/6-9/5-7/5-14/11 | |||
| octarod | |||
|- | |- | ||
| 8 | |||
| 0-2-9-10-11-20 | |||
| 1-14/9-9/5-9/8-7/5-14/11 | |||
| magic | |||
|- | |- | ||
| 9 | |||
| 0-2-7-11-12-20 | |||
| 1-14/9-7/6-7/5-7/4-14/11 | |||
| utonal | |||
|- | |- | ||
| 10 | |||
| 0-2-10-11-12-20 | |||
| 1-14/9-9/8-7/5-7/4-14/11 | |||
| apollo | |||
|- | |- | ||
| 11 | |||
| 0-2-9-11-13-20 | |||
| 1-14/9-9/5-7/5-12/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 12 | |||
| 0-2-11-12-13-20 | |||
| 1-14/9-7/5-7/4-12/11-14/11 | |||
| magic | |||
|- | |- | ||
| 13 | |||
| 0-7-8-9-18-20 | |||
| 1-7/6-16/11-9/5-18/11-14/11 | |||
| magic | |||
|- | |- | ||
| 14 | |||
| 0-8-9-10-18-20 | |||
| 1-16/11-9/5-9/8-18/11-14/11 | |||
| apollo | |||
|- | |- | ||
| 15 | |||
| 0-7-9-11-18-20 | |||
| 1-7/6-9/5-7/5-18/11-14/11 | |||
| octarod | |||
|- | |- | ||
| 16 | |||
| 0-9-10-11-18-20 | |||
| 1-9/5-9/8-7/5-18/11-14/11 | |||
| magic | |||
|- | |- | ||
| 17 | |||
| 0-8-9-13-18-20 | |||
| 1-16/11-20/11-12/11-18/11-14/11 | |||
| otonal | |||
|- | |- | ||
| 18 | |||
| 0-9-11-13-18-20 | |||
| 1-9/5-7/5-12/11-18/11-14/11 | |||
| octarod | |||
|} | |} | ||
[[Category:Chords]] | |||
[[Category:Triad]] | |||
[[Category:Tetrad]] | |||
[[Category:Pentad]] | |||
[[Category:Hexad]] | |||
[[Category:Magic]] | |||