Chords of magic
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Below are listed the [[Dyadic chord|dyadic chords]] 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 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any three of 245/243, 896/891 or 385/384 sensamagic11, any three of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic+, the nonce name Graham Breed's [[http://x31eq.com/temper/|Temperament Finder]] gives to it. Finally, anything requiring three independent commas among those discussed above is labeled magic. =Triads= || Number || 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= || Number || 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= || Number || 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= || Number || 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 ||
Original HTML content:
<html><head><title>Chords of magic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Magic">magic temperament</a>. 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.<br />
<br />
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 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any three of 245/243, 896/891 or 385/384 sensamagic11, any three of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic+, the nonce name Graham Breed's <a class="wiki_link_ext" href="http://x31eq.com/temper/" rel="nofollow">Temperament Finder</a> gives to it. Finally, anything requiring three independent commas among those discussed above is labeled magic.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->Triads</h1>
<table class="wiki_table">
<tr>
<td>Number<br />
</td>
<td>Chord<br />
</td>
<td>Transversal<br />
</td>
<td>Type<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>0-1-2<br />
</td>
<td>1-5/4-14/9<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-2-4<br />
</td>
<td>1-14/9-6/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-1-5<br />
</td>
<td>1-5/4-3/2<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-4-5<br />
</td>
<td>1-6/5-3/2<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-2-7<br />
</td>
<td>1-14/9-7/6<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-5-7<br />
</td>
<td>1-3/2-7/6<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-1-8<br />
</td>
<td>1-5/4-16/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-4-8<br />
</td>
<td>1-6/5-16/11<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-7-8<br />
</td>
<td>1-7/6-16/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-1-9<br />
</td>
<td>1-5/4-20/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-2-9<br />
</td>
<td>1-14/9-9/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-4-9<br />
</td>
<td>1-6/5-9/5<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-5-9<br />
</td>
<td>1-3/2-9/5<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-7-9<br />
</td>
<td>1-7/6-9/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-8-9<br />
</td>
<td>1-16/11-20/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-1-10<br />
</td>
<td>1-5/4-9/8<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-2-10<br />
</td>
<td>1-14/9-9/8<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-5-10<br />
</td>
<td>1-3/2-9/8<br />
</td>
<td>ambitonal<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>0-8-10<br />
</td>
<td>1-16/11-9/8<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>0-9-10<br />
</td>
<td>1-9/5-9/8<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>0-1-11<br />
</td>
<td>1-5/4-7/5<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>0-2-11<br />
</td>
<td>1-14/9-7/5<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>0-4-11<br />
</td>
<td>1-6/5-7/5<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>0-7-11<br />
</td>
<td>1-7/6-7/5<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>0-9-11<br />
</td>
<td>1-9/5-7/5<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>0-10-11<br />
</td>
<td>1-9/8-7/5<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>0-1-12<br />
</td>
<td>1-5/4-7/4<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>0-2-12<br />
</td>
<td>1-14/9-7/4<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>0-4-12<br />
</td>
<td>1-6/5-7/4<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>0-5-12<br />
</td>
<td>1-3/2-7/4<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>0-7-12<br />
</td>
<td>1-7/6-7/4<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>0-8-12<br />
</td>
<td>1-16/11-7/4<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>0-10-12<br />
</td>
<td>1-9/8-7/4<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>0-11-12<br />
</td>
<td>1-7/5-7/4<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>0-1-13<br />
</td>
<td>1-5/4-12/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>0-2-13<br />
</td>
<td>1-14/9-12/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>0-4-13<br />
</td>
<td>1-6/5-12/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>0-5-13<br />
</td>
<td>1-3/2-12/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>0-8-13<br />
</td>
<td>1-16/11-12/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>0-9-13<br />
</td>
<td>1-20/11-12/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>0-11-13<br />
</td>
<td>1-7/5-12/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>0-12-13<br />
</td>
<td>1-7/4-12/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>0-5-18<br />
</td>
<td>1-3/2-18/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>0-7-18<br />
</td>
<td>1-7/6-18/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>0-8-18<br />
</td>
<td>1-16/11-18/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>0-9-18<br />
</td>
<td>1-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>0-10-18<br />
</td>
<td>1-9/8-18/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>0-11-18<br />
</td>
<td>1-7/5-18/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>0-13-18<br />
</td>
<td>1-12/11-18/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>0-2-20<br />
</td>
<td>1-14/9-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td>0-7-20<br />
</td>
<td>1-7/6-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>0-8-20<br />
</td>
<td>1-16/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>53<br />
</td>
<td>0-9-20<br />
</td>
<td>1-20/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>54<br />
</td>
<td>0-10-20<br />
</td>
<td>1-9/8-14/11<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>55<br />
</td>
<td>0-11-20<br />
</td>
<td>1-7/5-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>56<br />
</td>
<td>0-12-20<br />
</td>
<td>1-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>57<br />
</td>
<td>0-13-20<br />
</td>
<td>1-12/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>58<br />
</td>
<td>0-18-20<br />
</td>
<td>1-18/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Tetrads"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetrads</h1>
<table class="wiki_table">
<tr>
<td>Number<br />
</td>
<td>Chord<br />
</td>
<td>Transversal<br />
</td>
<td>Type<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>0-1-2-9<br />
</td>
<td>1-5/4-14/9-9/5<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-2-4-9<br />
</td>
<td>1-14/9-6/5-9/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-1-5-9<br />
</td>
<td>1-5/4-3/2-9/5<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-4-5-9<br />
</td>
<td>1-6/5-3/2-9/5<br />
</td>
<td>ambitonal<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-2-7-9<br />
</td>
<td>1-14/9-7/6-9/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-5-7-9<br />
</td>
<td>1-3/2-7/6-9/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-1-8-9<br />
</td>
<td>1-5/4-16/11-9/5<br />
</td>
<td>supermagic+<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-4-8-9<br />
</td>
<td>1-6/5-16/11-9/5<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-7-8-9<br />
</td>
<td>1-7/6-16/11-9/5<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-1-2-10<br />
</td>
<td>1-5/4-14/9-9/8<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-1-5-10<br />
</td>
<td>1-5/4-3/2-9/8<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-1-8-10<br />
</td>
<td>1-5/4-16/11-9/8<br />
</td>
<td>sensamagic11<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-1-9-10<br />
</td>
<td>1-5/4-9/5-9/8<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-2-9-10<br />
</td>
<td>1-14/9-9/5-9/8<br />
</td>
<td>sensamagic11<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-5-9-10<br />
</td>
<td>1-3/2-9/5-9/8<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-8-9-10<br />
</td>
<td>1-16/11-9/5-9/8<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-1-2-11<br />
</td>
<td>1-5/4-14/9-7/5<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-2-4-11<br />
</td>
<td>1-14/9-6/5-7/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>0-2-7-11<br />
</td>
<td>1-14/9-7/6-7/5<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>0-1-9-11<br />
</td>
<td>1-5/4-9/5-7/5<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>0-2-9-11<br />
</td>
<td>1-14/9-9/5-7/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>0-4-9-11<br />
</td>
<td>1-6/5-9/5-7/5<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>0-7-9-11<br />
</td>
<td>1-7/6-9/5-7/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>0-1-10-11<br />
</td>
<td>1-5/4-9/8-7/5<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>0-2-10-11<br />
</td>
<td>1-14/9-9/8-7/5<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>0-9-10-11<br />
</td>
<td>1-9/5-9/8-7/5<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>0-1-2-12<br />
</td>
<td>1-5/4-14/9-7/4<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>0-2-4-12<br />
</td>
<td>1-14/9-6/5-7/4<br />
</td>
<td>sensamagic11<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>0-1-5-12<br />
</td>
<td>1-5/4-3/2-7/4<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>0-4-5-12<br />
</td>
<td>1-6/5-3/2-7/4<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>0-2-7-12<br />
</td>
<td>1-14/9-7/6-7/4<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>0-5-7-12<br />
</td>
<td>1-3/2-7/6-7/4<br />
</td>
<td>ambitonal<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>0-1-8-12<br />
</td>
<td>1-5/4-16/11-7/4<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>0-4-8-12<br />
</td>
<td>1-6/5-16/11-7/4<br />
</td>
<td>supermagic+<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>0-7-8-12<br />
</td>
<td>1-7/6-16/11-7/4<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>0-1-10-12<br />
</td>
<td>1-5/4-9/8-7/4<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>0-2-10-12<br />
</td>
<td>1-14/9-9/8-7/4<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>0-5-10-12<br />
</td>
<td>1-3/2-9/8-7/4<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>0-8-10-12<br />
</td>
<td>1-16/11-9/8-7/4<br />
</td>
<td>sensamagic11<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>0-1-11-12<br />
</td>
<td>1-5/4-7/5-7/4<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>0-2-11-12<br />
</td>
<td>1-14/9-7/5-7/4<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>0-4-11-12<br />
</td>
<td>1-6/5-7/5-7/4<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>0-7-11-12<br />
</td>
<td>1-7/6-7/5-7/4<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>0-10-11-12<br />
</td>
<td>1-9/8-7/5-7/4<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>0-1-2-13<br />
</td>
<td>1-5/4-14/9-12/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>0-2-4-13<br />
</td>
<td>1-14/9-6/5-12/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>0-1-5-13<br />
</td>
<td>1-5/4-3/2-12/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>0-4-5-13<br />
</td>
<td>1-6/5-3/2-12/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>0-1-8-13<br />
</td>
<td>1-5/4-16/11-12/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>0-4-8-13<br />
</td>
<td>1-6/5-16/11-12/11<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td>0-1-9-13<br />
</td>
<td>1-5/4-9/5-12/11<br />
</td>
<td>supermagic+<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>0-2-9-13<br />
</td>
<td>1-14/9-9/5-12/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>53<br />
</td>
<td>0-4-9-13<br />
</td>
<td>1-6/5-9/5-12/11<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>54<br />
</td>
<td>0-5-9-13<br />
</td>
<td>1-3/2-9/5-12/11<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>55<br />
</td>
<td>0-8-9-13<br />
</td>
<td>1-16/11-20/11-12/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>56<br />
</td>
<td>0-1-11-13<br />
</td>
<td>1-5/4-7/5-12/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>57<br />
</td>
<td>0-2-11-13<br />
</td>
<td>1-14/9-7/5-12/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>58<br />
</td>
<td>0-4-11-13<br />
</td>
<td>1-6/5-7/5-12/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>59<br />
</td>
<td>0-9-11-13<br />
</td>
<td>1-9/5-7/5-12/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>60<br />
</td>
<td>0-1-12-13<br />
</td>
<td>1-5/4-7/4-12/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>61<br />
</td>
<td>0-2-12-13<br />
</td>
<td>1-14/9-7/4-12/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>62<br />
</td>
<td>0-4-12-13<br />
</td>
<td>1-6/5-7/4-12/11<br />
</td>
<td>supermagic+<br />
</td>
</tr>
<tr>
<td>63<br />
</td>
<td>0-5-12-13<br />
</td>
<td>1-3/2-7/4-12/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>64<br />
</td>
<td>0-8-12-13<br />
</td>
<td>1-16/11-7/4-12/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>65<br />
</td>
<td>0-11-12-13<br />
</td>
<td>1-7/5-7/4-12/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>66<br />
</td>
<td>0-5-7-18<br />
</td>
<td>1-3/2-7/6-18/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>67<br />
</td>
<td>0-7-8-18<br />
</td>
<td>1-7/6-16/11-18/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>68<br />
</td>
<td>0-5-9-18<br />
</td>
<td>1-3/2-9/5-18/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>69<br />
</td>
<td>0-7-9-18<br />
</td>
<td>1-7/6-9/5-18/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>70<br />
</td>
<td>0-8-9-18<br />
</td>
<td>1-16/11-20/11-18/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>71<br />
</td>
<td>0-5-10-18<br />
</td>
<td>1-3/2-9/8-18/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>72<br />
</td>
<td>0-8-10-18<br />
</td>
<td>1-16/11-9/8-18/11<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>73<br />
</td>
<td>0-9-10-18<br />
</td>
<td>1-9/5-9/8-18/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>74<br />
</td>
<td>0-7-11-18<br />
</td>
<td>1-7/6-7/5-18/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>75<br />
</td>
<td>0-9-11-18<br />
</td>
<td>1-9/5-7/5-18/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>76<br />
</td>
<td>0-10-11-18<br />
</td>
<td>1-9/8-7/5-18/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>77<br />
</td>
<td>0-5-13-18<br />
</td>
<td>1-3/2-12/11-18/11<br />
</td>
<td>ambitonal<br />
</td>
</tr>
<tr>
<td>78<br />
</td>
<td>0-8-13-18<br />
</td>
<td>1-16/11-12/11-18/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>79<br />
</td>
<td>0-9-13-18<br />
</td>
<td>1-20/11-12/11-18/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>80<br />
</td>
<td>0-11-13-18<br />
</td>
<td>1-7/5-12/11-18/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>81<br />
</td>
<td>0-2-7-20<br />
</td>
<td>1-14/9-7/6-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>82<br />
</td>
<td>0-7-8-20<br />
</td>
<td>1-7/6-16/11-14/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>83<br />
</td>
<td>0-2-9-20<br />
</td>
<td>1-14/9-9/5-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>84<br />
</td>
<td>0-7-9-20<br />
</td>
<td>1-7/6-9/5-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>85<br />
</td>
<td>0-8-9-20<br />
</td>
<td>1-16/11-20/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>86<br />
</td>
<td>0-2-10-20<br />
</td>
<td>1-14/9-9/8-14/11<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>87<br />
</td>
<td>0-8-10-20<br />
</td>
<td>1-16/11-9/8-14/11<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>88<br />
</td>
<td>0-9-10-20<br />
</td>
<td>1-9/5-9/8-14/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>89<br />
</td>
<td>0-2-11-20<br />
</td>
<td>1-14/9-7/5-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>90<br />
</td>
<td>0-7-11-20<br />
</td>
<td>1-7/6-7/5-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>91<br />
</td>
<td>0-9-11-20<br />
</td>
<td>1-9/5-7/5-14/11<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>92<br />
</td>
<td>0-10-11-20<br />
</td>
<td>1-9/8-7/5-14/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>93<br />
</td>
<td>0-2-12-20<br />
</td>
<td>1-14/9-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>94<br />
</td>
<td>0-7-12-20<br />
</td>
<td>1-7/6-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>95<br />
</td>
<td>0-8-12-20<br />
</td>
<td>1-16/11-7/4-14/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>96<br />
</td>
<td>0-10-12-20<br />
</td>
<td>1-9/8-7/4-14/11<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>97<br />
</td>
<td>0-11-12-20<br />
</td>
<td>1-7/5-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>98<br />
</td>
<td>0-2-13-20<br />
</td>
<td>1-14/9-12/11-14/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>99<br />
</td>
<td>0-8-13-20<br />
</td>
<td>1-16/11-12/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>100<br />
</td>
<td>0-9-13-20<br />
</td>
<td>1-20/11-12/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>101<br />
</td>
<td>0-11-13-20<br />
</td>
<td>1-7/5-12/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>102<br />
</td>
<td>0-12-13-20<br />
</td>
<td>1-7/4-12/11-14/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>103<br />
</td>
<td>0-7-18-20<br />
</td>
<td>1-7/6-18/11-14/11<br />
</td>
<td>swetismic<br />
</td>
</tr>
<tr>
<td>104<br />
</td>
<td>0-8-18-20<br />
</td>
<td>1-16/11-18/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>105<br />
</td>
<td>0-9-18-20<br />
</td>
<td>1-20/11-18/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>106<br />
</td>
<td>0-10-18-20<br />
</td>
<td>1-9/8-18/11-14/11<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>107<br />
</td>
<td>0-11-18-20<br />
</td>
<td>1-7/5-18/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>108<br />
</td>
<td>0-13-18-20<br />
</td>
<td>1-12/11-18/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Pentads"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pentads</h1>
<table class="wiki_table">
<tr>
<td>Number<br />
</td>
<td>Chord<br />
</td>
<td>Transversal<br />
</td>
<td>Type<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>0-1-2-9-10<br />
</td>
<td>1-5/4-14/9-9/5-9/8<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-1-5-9-10<br />
</td>
<td>1-5/4-3/2-9/5-9/8<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-1-8-9-10<br />
</td>
<td>1-5/4-16/11-9/5-9/8<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-1-2-9-11<br />
</td>
<td>1-5/4-14/9-9/5-7/5<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-2-4-9-11<br />
</td>
<td>1-14/9-6/5-9/5-7/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-2-7-9-11<br />
</td>
<td>1-14/9-7/6-9/5-7/5<br />
</td>
<td>sensamagic<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-1-2-10-11<br />
</td>
<td>1-5/4-14/9-9/8-7/5<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-1-9-10-11<br />
</td>
<td>1-5/4-9/5-9/8-7/5<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-2-9-10-11<br />
</td>
<td>1-14/9-9/5-9/8-7/5<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-1-2-10-12<br />
</td>
<td>1-5/4-14/9-9/8-7/4<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-1-5-10-12<br />
</td>
<td>1-5/4-3/2-9/8-7/4<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-1-8-10-12<br />
</td>
<td>1-5/4-16/11-9/8-7/4<br />
</td>
<td>sensamagic11<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-1-2-11-12<br />
</td>
<td>1-5/4-14/9-7/5-7/4<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-2-4-11-12<br />
</td>
<td>1-14/9-6/5-7/5-7/4<br />
</td>
<td>sensamagic11<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-2-7-11-12<br />
</td>
<td>1-14/9-7/6-7/5-7/4<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-1-10-11-12<br />
</td>
<td>1-5/4-9/8-7/5-7/4<br />
</td>
<td>marvel<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-2-10-11-12<br />
</td>
<td>1-14/9-9/8-7/5-7/4<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-1-2-9-13<br />
</td>
<td>1-5/4-14/9-9/5-12/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>0-2-4-9-13<br />
</td>
<td>1-14/9-6/5-9/5-12/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>0-1-5-9-13<br />
</td>
<td>1-5/4-3/2-9/5-12/11<br />
</td>
<td>supermagic+<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>0-4-5-9-13<br />
</td>
<td>1-6/5-3/2-9/5-12/11<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>0-1-8-9-13<br />
</td>
<td>1-5/4-16/11-9/5-12/11<br />
</td>
<td>supermagic+<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>0-4-8-9-13<br />
</td>
<td>1-6/5-16/11-9/5-12/11<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>0-1-2-11-13<br />
</td>
<td>1-5/4-14/9-7/5-12/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>0-2-4-11-13<br />
</td>
<td>1-14/9-6/5-7/5-12/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>0-1-9-11-13<br />
</td>
<td>1-5/4-9/5-7/5-12/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>0-2-9-11-13<br />
</td>
<td>1-14/9-9/5-7/5-12/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>0-4-9-11-13<br />
</td>
<td>1-6/5-9/5-7/5-12/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>0-1-2-12-13<br />
</td>
<td>1-5/4-14/9-7/4-12/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>0-2-4-12-13<br />
</td>
<td>1-14/9-6/5-7/4-12/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>0-1-5-12-13<br />
</td>
<td>1-5/4-3/2-7/4-12/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>0-4-5-12-13<br />
</td>
<td>1-6/5-3/2-7/4-12/11<br />
</td>
<td>supermagic+<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>0-1-8-12-13<br />
</td>
<td>1-5/4-16/11-7/4-12/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>0-4-8-12-13<br />
</td>
<td>1-6/5-16/11-7/4-12/11<br />
</td>
<td>supermagic+<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>0-1-11-12-13<br />
</td>
<td>1-5/4-7/5-7/4-12/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>0-2-11-12-13<br />
</td>
<td>1-14/9-7/5-7/4-12/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>0-4-11-12-13<br />
</td>
<td>1-6/5-7/5-7/4-12/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>0-5-7-9-18<br />
</td>
<td>1-3/2-7/6-9/5-18/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>0-7-8-9-18<br />
</td>
<td>1-7/6-16/11-9/5-18/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>0-5-9-10-18<br />
</td>
<td>1-3/2-9/5-9/8-18/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>0-8-9-10-18<br />
</td>
<td>1-16/11-9/5-9/8-18/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>0-7-9-11-18<br />
</td>
<td>1-7/6-9/5-7/5-18/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>0-9-10-11-18<br />
</td>
<td>1-9/5-9/8-7/5-18/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>0-5-9-13-18<br />
</td>
<td>1-3/2-9/5-12/11-18/11<br />
</td>
<td>ptolemismic<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>0-8-9-13-18<br />
</td>
<td>1-16/11-20/11-12/11-18/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>0-9-11-13-18<br />
</td>
<td>1-9/5-7/5-12/11-18/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>0-2-7-9-20<br />
</td>
<td>1-14/9-7/6-9/5-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>0-7-8-9-20<br />
</td>
<td>1-7/6-16/11-9/5-14/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>0-2-9-10-20<br />
</td>
<td>1-14/9-9/5-9/8-14/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>0-8-9-10-20<br />
</td>
<td>1-16/11-9/5-9/8-14/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td>0-2-7-11-20<br />
</td>
<td>1-14/9-7/6-7/5-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>0-2-9-11-20<br />
</td>
<td>1-14/9-9/5-7/5-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>53<br />
</td>
<td>0-7-9-11-20<br />
</td>
<td>1-7/6-9/5-7/5-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>54<br />
</td>
<td>0-2-10-11-20<br />
</td>
<td>1-14/9-9/8-7/5-14/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>55<br />
</td>
<td>0-9-10-11-20<br />
</td>
<td>1-9/5-9/8-7/5-14/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>56<br />
</td>
<td>0-2-7-12-20<br />
</td>
<td>1-14/9-7/6-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>57<br />
</td>
<td>0-7-8-12-20<br />
</td>
<td>1-7/6-16/11-7/4-14/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>58<br />
</td>
<td>0-2-10-12-20<br />
</td>
<td>1-14/9-9/8-7/4-14/11<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>59<br />
</td>
<td>0-8-10-12-20<br />
</td>
<td>1-16/11-9/8-7/4-14/11<br />
</td>
<td>sensamagic11<br />
</td>
</tr>
<tr>
<td>60<br />
</td>
<td>0-2-11-12-20<br />
</td>
<td>1-14/9-7/5-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>61<br />
</td>
<td>0-7-11-12-20<br />
</td>
<td>1-7/6-7/5-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>62<br />
</td>
<td>0-10-11-12-20<br />
</td>
<td>1-9/8-7/5-7/4-14/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>63<br />
</td>
<td>0-2-9-13-20<br />
</td>
<td>1-14/9-9/5-12/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>64<br />
</td>
<td>0-8-9-13-20<br />
</td>
<td>1-16/11-20/11-12/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>65<br />
</td>
<td>0-2-11-13-20<br />
</td>
<td>1-14/9-7/5-12/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>66<br />
</td>
<td>0-9-11-13-20<br />
</td>
<td>1-9/5-7/5-12/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>67<br />
</td>
<td>0-2-12-13-20<br />
</td>
<td>1-14/9-7/4-12/11-14/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>68<br />
</td>
<td>0-8-12-13-20<br />
</td>
<td>1-16/11-7/4-12/11-14/11<br />
</td>
<td>keenanismic<br />
</td>
</tr>
<tr>
<td>69<br />
</td>
<td>0-11-12-13-20<br />
</td>
<td>1-7/5-7/4-12/11-14/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>70<br />
</td>
<td>0-7-8-18-20<br />
</td>
<td>1-7/6-16/11-18/11-14/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>71<br />
</td>
<td>0-7-9-18-20<br />
</td>
<td>1-7/6-9/5-18/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>72<br />
</td>
<td>0-8-9-18-20<br />
</td>
<td>1-16/11-20/11-18/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>73<br />
</td>
<td>0-8-10-18-20<br />
</td>
<td>1-16/11-9/8-18/11-14/11<br />
</td>
<td>pentacircle<br />
</td>
</tr>
<tr>
<td>74<br />
</td>
<td>0-9-10-18-20<br />
</td>
<td>1-9/5-9/8-18/11-14/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>75<br />
</td>
<td>0-7-11-18-20<br />
</td>
<td>1-7/6-7/5-18/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>76<br />
</td>
<td>0-9-11-18-20<br />
</td>
<td>1-9/5-7/5-18/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>77<br />
</td>
<td>0-10-11-18-20<br />
</td>
<td>1-9/8-7/5-18/11-14/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>78<br />
</td>
<td>0-8-13-18-20<br />
</td>
<td>1-16/11-12/11-18/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>79<br />
</td>
<td>0-9-13-18-20<br />
</td>
<td>1-20/11-12/11-18/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>80<br />
</td>
<td>0-11-13-18-20<br />
</td>
<td>1-7/5-12/11-18/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Hexads"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hexads</h1>
<table class="wiki_table">
<tr>
<td>Number<br />
</td>
<td>Chord<br />
</td>
<td>Transversal<br />
</td>
<td>Type<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>0-1-2-9-10-11<br />
</td>
<td>1-5/4-14/9-9/5-9/8-7/5<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>0-1-2-10-11-12<br />
</td>
<td>1-5/4-14/9-9/8-7/5-7/4<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>0-1-2-9-11-13<br />
</td>
<td>1-5/4-14/9-9/5-7/5-12/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>0-2-4-9-11-13<br />
</td>
<td>1-14/9-6/5-9/5-7/5-12/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>0-1-2-11-12-13<br />
</td>
<td>1-5/4-14/9-7/5-7/4-12/11<br />
</td>
<td>unimarvel<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>0-2-4-11-12-13<br />
</td>
<td>1-14/9-6/5-7/5-7/4-12/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>0-2-7-9-11-20<br />
</td>
<td>1-14/9-7/6-9/5-7/5-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>0-2-9-10-11-20<br />
</td>
<td>1-14/9-9/5-9/8-7/5-14/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>0-2-7-11-12-20<br />
</td>
<td>1-14/9-7/6-7/5-7/4-14/11<br />
</td>
<td>utonal<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>0-2-10-11-12-20<br />
</td>
<td>1-14/9-9/8-7/5-7/4-14/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>0-2-9-11-13-20<br />
</td>
<td>1-14/9-9/5-7/5-12/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>0-2-11-12-13-20<br />
</td>
<td>1-14/9-7/5-7/4-12/11-14/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>0-7-8-9-18-20<br />
</td>
<td>1-7/6-16/11-9/5-18/11-14/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>0-8-9-10-18-20<br />
</td>
<td>1-16/11-9/5-9/8-18/11-14/11<br />
</td>
<td>apollo<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>0-7-9-11-18-20<br />
</td>
<td>1-7/6-9/5-7/5-18/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>0-9-10-11-18-20<br />
</td>
<td>1-9/5-9/8-7/5-18/11-14/11<br />
</td>
<td>magic<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>0-8-9-13-18-20<br />
</td>
<td>1-16/11-20/11-12/11-18/11-14/11<br />
</td>
<td>otonal<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>0-9-11-13-18-20<br />
</td>
<td>1-9/5-7/5-12/11-18/11-14/11<br />
</td>
<td>octarod<br />
</td>
</tr>
</table>
</body></html>