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Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[sensus temperament]], subject to the condition that no interval smaller than [[12/11]], at 150 cents, appears. The essentially just chords are typed as [[otonal]], [[utonal]], or [[ambitonal]]. Those requiring tempering only by [[126/125]] are catalogued as [[Starling chords|starling]], by [[245/243]] [[Sensamagic chords|sensamagic]], by [[176/175]] [[Valinorsmic chords|valinorsmic]], by [[441/440]] [[Werckismic chords|werckismic]], by [[1232/1215]] sensmic, by [[91/90]] superleap, by [[196/195]] [[Mynucumic chords|mynucumic]], by [[325/324]] [[Marveltwin triad|marveltwin]], and by [[352/351]] [[Minthmic chords|minthmic]]. [[Rank and codimension|Codimension]] two temperaments are labeled [[thrush]] or [[shrusus]], or according to two commas tempered out: starling-superleap, valinorsmic-superleap, sensamagic-mynucumic, werckismic-superleap, mynucumic-minthmic, senga-superleap, superleap-minthmic, or marveltwin-minthmic. Rank three temperaments are labeled [[tridecimal thrush]], [[shrusic]], [[sensigh]], [[treecreeper]] or [[veery]]. Finally, if the full sensus temperament is required, the chord is labeled sensus. | Below are listed the [[15-odd-limit]] [[dyadic chord]]s of 13-limit [[sensus temperament]], subject to the condition that no interval smaller than [[12/11]], at 150 cents, appears. The essentially just chords are typed as [[otonal]], [[utonal]], or [[ambitonal]]. Those requiring tempering only by [[126/125]] are catalogued as [[Starling chords|starling]], by [[245/243]] [[Sensamagic chords|sensamagic]], by [[176/175]] [[Valinorsmic chords|valinorsmic]], by [[441/440]] [[Werckismic chords|werckismic]], by [[1232/1215]] sensmic, by [[91/90]] superleap, by [[196/195]] [[Mynucumic chords|mynucumic]], by [[325/324]] [[Marveltwin triad|marveltwin]], and by [[352/351]] [[Minthmic chords|minthmic]]. [[Rank and codimension|Codimension]] two temperaments are labeled [[thrush]] or [[shrusus]], or according to two commas tempered out: starling-superleap, valinorsmic-superleap, sensamagic-mynucumic, werckismic-superleap, mynucumic-minthmic, senga-superleap, superleap-minthmic, or marveltwin-minthmic. Rank three temperaments are labeled [[tridecimal thrush]], [[shrusic]], [[sensigh]], [[treecreeper]] or [[veery]]. Finally, if the full sensus temperament is required, the chord is labeled sensus. | ||
Sensus has MOS of size 5, 8, 11, 19, 27 and 46. The largest chords on these lists have complexity 31, and so would require the 46 note MOS, but there are many chords of much lower complexity. The 8-note MOS has a number of chords, the 11-note MOS has a considerable store, and of course the 19-note MOS many more. | Sensus has MOS of size 5, 8, 11, 19, 27 and 46. The largest chords on these lists have complexity 31, and so would require the 46 note MOS, but there are many chords of much lower complexity. The 8-note MOS has a number of chords, the 11-note MOS has a considerable store, and of course the 19-note MOS many more. | ||
Revision as of 19:56, 6 April 2021
Below are listed the 15-odd-limit dyadic chords of 13-limit sensus temperament, subject to the condition that no interval smaller than 12/11, at 150 cents, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 126/125 are catalogued as starling, by 245/243 sensamagic, by 176/175 valinorsmic, by 441/440 werckismic, by 1232/1215 sensmic, by 91/90 superleap, by 196/195 mynucumic, by 325/324 marveltwin, and by 352/351 minthmic. Codimension two temperaments are labeled thrush or shrusus, or according to two commas tempered out: starling-superleap, valinorsmic-superleap, sensamagic-mynucumic, werckismic-superleap, mynucumic-minthmic, senga-superleap, superleap-minthmic, or marveltwin-minthmic. Rank three temperaments are labeled tridecimal thrush, shrusic, sensigh, treecreeper or veery. Finally, if the full sensus temperament is required, the chord is labeled sensus.
Sensus has MOS of size 5, 8, 11, 19, 27 and 46. The largest chords on these lists have complexity 31, and so would require the 46 note MOS, but there are many chords of much lower complexity. The 8-note MOS has a number of chords, the 11-note MOS has a considerable store, and of course the 19-note MOS many more.
Triads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0-1-2 | 1-9/7-5/3 | sensamagic |
| 2 | 0-2-4 | 1-5/3-7/5 | starling |
| 3 | 0-1-5 | 1-9/7-9/5 | utonal |
| 4 | 0-4-5 | 1-7/5-9/5 | otonal |
| 5 | 0-1-6 | 1-9/7-7/6 | sensamagic |
| 6 | 0-2-6 | 1-5/3-7/6 | otonal |
| 7 | 0-4-6 | 1-7/5-7/6 | utonal |
| 8 | 0-5-6 | 1-9/5-7/6 | sensamagic |
| 9 | 0-1-7 | 1-9/7-3/2 | utonal |
| 10 | 0-2-7 | 1-5/3-3/2 | otonal |
| 11 | 0-5-7 | 1-9/5-3/2 | utonal |
| 12 | 0-6-7 | 1-7/6-3/2 | otonal |
| 13 | 0-2-9 | 1-5/3-5/4 | utonal |
| 14 | 0-4-9 | 1-7/5-5/4 | starling |
| 15 | 0-5-9 | 1-9/5-5/4 | starling |
| 16 | 0-7-9 | 1-3/2-5/4 | otonal |
| 17 | 0-1-10 | 1-13/10-13/8 | utonal |
| 18 | 0-4-10 | 1-7/5-13/8 | mynucumic |
| 19 | 0-5-10 | 1-9/5-13/8 | marveltwin |
| 20 | 0-6-10 | 1-7/6-13/8 | mynucumic |
| 21 | 0-9-10 | 1-5/4-13/8 | otonal |
| 22 | 0-4-13 | 1-7/5-7/4 | utonal |
| 23 | 0-6-13 | 1-7/6-7/4 | utonal |
| 24 | 0-7-13 | 1-3/2-7/4 | otonal |
| 25 | 0-9-13 | 1-5/4-7/4 | otonal |
| 26 | 0-1-14 | 1-9/7-9/8 | utonal |
| 27 | 0-4-14 | 1-18/13-9/8 | utonal |
| 28 | 0-5-14 | 1-9/5-9/8 | utonal |
| 29 | 0-7-14 | 1-3/2-9/8 | ambitonal |
| 30 | 0-9-14 | 1-5/4-9/8 | otonal |
| 31 | 0-10-14 | 1-13/8-9/8 | otonal |
| 32 | 0-13-14 | 1-7/4-9/8 | otonal |
| 33 | 0-1-15 | 1-9/7-22/15 | sensmic |
| 34 | 0-2-15 | 1-5/3-22/15 | valinorsmic |
| 35 | 0-5-15 | 1-9/5-22/15 | minthmic |
| 36 | 0-6-15 | 1-7/6-22/15 | valinorsmic |
| 37 | 0-9-15 | 1-5/4-22/15 | valinorsmic |
| 38 | 0-10-15 | 1-13/8-22/15 | minthmic |
| 39 | 0-13-15 | 1-7/4-22/15 | valinorsmic |
| 40 | 0-14-15 | 1-9/8-22/15 | sensmic |
| 41 | 0-2-17 | 1-5/3-11/9 | otonal |
| 42 | 0-4-17 | 1-7/5-11/9 | werckismic |
| 43 | 0-7-17 | 1-3/2-11/9 | minthmic |
| 44 | 0-10-17 | 1-13/8-11/9 | minthmic |
| 45 | 0-13-17 | 1-7/4-11/9 | werckismic |
| 46 | 0-15-17 | 1-22/15-11/9 | utonal |
| 47 | 0-1-18 | 1-9/7-11/7 | otonal |
| 48 | 0-4-18 | 1-7/5-11/7 | werckismic |
| 49 | 0-5-18 | 1-9/5-11/7 | werckismic |
| 50 | 0-9-18 | 1-5/4-11/7 | valinorsmic |
| 51 | 0-13-18 | 1-7/4-11/7 | werckismic |
| 52 | 0-14-18 | 1-9/8-11/7 | werckismic |
| 53 | 0-17-18 | 1-11/9-11/7 | utonal |
| 54 | 0-4-21 | 1-18/13-22/13 | otonal |
| 55 | 0-6-21 | 1-15/13-22/13 | otonal |
| 56 | 0-7-21 | 1-3/2-22/13 | minthmic |
| 57 | 0-14-21 | 1-9/8-22/13 | minthmic |
| 58 | 0-15-21 | 1-22/15-22/13 | utonal |
| 59 | 0-17-21 | 1-11/9-22/13 | utonal |
| 60 | 0-1-22 | 1-13/10-11/10 | otonal |
| 61 | 0-4-22 | 1-7/5-11/10 | otonal |
| 62 | 0-5-22 | 1-9/5-11/10 | otonal |
| 63 | 0-7-22 | 1-3/2-11/10 | otonal |
| 64 | 0-9-22 | 1-5/4-11/10 | valinorsmic |
| 65 | 0-13-22 | 1-7/4-11/10 | valinorsmic |
| 66 | 0-15-22 | 1-22/15-11/10 | utonal |
| 67 | 0-17-22 | 1-11/9-11/10 | utonal |
| 68 | 0-18-22 | 1-11/7-11/10 | utonal |
| 69 | 0-21-22 | 1-22/13-11/10 | utonal |
| 70 | 0-2-24 | 1-5/3-11/6 | otonal |
| 71 | 0-6-24 | 1-7/6-11/6 | otonal |
| 72 | 0-7-24 | 1-3/2-11/6 | otonal |
| 73 | 0-9-24 | 1-5/4-11/6 | otonal |
| 74 | 0-10-24 | 1-13/8-11/6 | minthmic |
| 75 | 0-14-24 | 1-9/8-11/6 | minthmic |
| 76 | 0-15-24 | 1-22/15-11/6 | utonal |
| 77 | 0-17-24 | 1-11/9-11/6 | utonal |
| 78 | 0-18-24 | 1-11/7-11/6 | utonal |
| 79 | 0-22-24 | 1-11/10-11/6 | utonal |
| 80 | 0-7-31 | 1-3/2-11/8 | otonal |
| 81 | 0-9-31 | 1-5/4-11/8 | otonal |
| 82 | 0-10-31 | 1-13/8-11/8 | otonal |
| 83 | 0-13-31 | 1-7/4-11/8 | otonal |
| 84 | 0-14-31 | 1-9/8-11/8 | otonal |
| 85 | 0-17-31 | 1-11/9-11/8 | utonal |
| 86 | 0-18-31 | 1-11/7-11/8 | utonal |
| 87 | 0-21-31 | 1-22/13-11/8 | utonal |
| 88 | 0-22-31 | 1-11/10-11/8 | utonal |
| 89 | 0-24-31 | 1-11/6-11/8 | utonal |
Tetrads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0-1-2-6 | 1-9/7-5/3-7/6 | sensamagic |
| 2 | 0-2-4-6 | 1-5/3-7/5-7/6 | starling |
| 3 | 0-1-5-6 | 1-9/7-9/5-7/6 | sensamagic |
| 4 | 0-4-5-6 | 1-7/5-9/5-7/6 | sensamagic |
| 5 | 0-1-2-7 | 1-9/7-5/3-3/2 | sensamagic |
| 6 | 0-1-5-7 | 1-9/7-9/5-3/2 | utonal |
| 7 | 0-1-6-7 | 1-9/7-7/6-3/2 | sensamagic |
| 8 | 0-2-6-7 | 1-5/3-7/6-3/2 | otonal |
| 9 | 0-5-6-7 | 1-9/5-7/6-3/2 | sensamagic |
| 10 | 0-2-4-9 | 1-5/3-7/5-5/4 | starling |
| 11 | 0-4-5-9 | 1-7/5-9/5-5/4 | starling |
| 12 | 0-2-7-9 | 1-5/3-3/2-5/4 | ambitonal |
| 13 | 0-5-7-9 | 1-9/5-3/2-5/4 | starling |
| 14 | 0-1-5-10 | 1-9/7-9/5-13/8 | starling-superleap |
| 15 | 0-4-5-10 | 1-7/5-9/5-13/8 | sensamagic-mynucumic |
| 16 | 0-1-6-10 | 1-9/7-7/6-13/8 | sensigh |
| 17 | 0-4-6-10 | 1-7/5-7/6-13/8 | mynucumic |
| 18 | 0-5-6-10 | 1-9/5-7/6-13/8 | sensamagic-mynucumic |
| 19 | 0-4-9-10 | 1-7/5-5/4-13/8 | sensigh |
| 20 | 0-5-9-10 | 1-9/5-5/4-13/8 | starling-superleap |
| 21 | 0-4-6-13 | 1-7/5-7/6-7/4 | utonal |
| 22 | 0-6-7-13 | 1-7/6-3/2-7/4 | ambitonal |
| 23 | 0-4-9-13 | 1-7/5-5/4-7/4 | starling |
| 24 | 0-7-9-13 | 1-3/2-5/4-7/4 | otonal |
| 25 | 0-1-5-14 | 1-9/7-9/5-9/8 | utonal |
| 26 | 0-4-5-14 | 1-18/13-9/5-9/8 | utonal |
| 27 | 0-1-7-14 | 1-9/7-3/2-9/8 | utonal |
| 28 | 0-5-7-14 | 1-9/5-3/2-9/8 | utonal |
| 29 | 0-4-9-14 | 1-7/5-5/4-9/8 | starling-superleap |
| 30 | 0-5-9-14 | 1-9/5-5/4-9/8 | starling |
| 31 | 0-7-9-14 | 1-3/2-5/4-9/8 | otonal |
| 32 | 0-1-10-14 | 1-9/7-13/8-9/8 | superleap |
| 33 | 0-4-10-14 | 1-7/5-13/8-9/8 | senga-superleap |
| 34 | 0-5-10-14 | 1-9/5-13/8-9/8 | starling-superleap |
| 35 | 0-9-10-14 | 1-5/4-13/8-9/8 | otonal |
| 36 | 0-4-13-14 | 1-7/5-7/4-9/8 | superleap |
| 37 | 0-7-13-14 | 1-3/2-7/4-9/8 | otonal |
| 38 | 0-9-13-14 | 1-5/4-7/4-9/8 | otonal |
| 39 | 0-1-2-15 | 1-9/7-5/3-22/15 | shrusus |
| 40 | 0-1-5-15 | 1-9/7-9/5-22/15 | superleap-minthmic |
| 41 | 0-1-6-15 | 1-9/7-7/6-22/15 | shrusus |
| 42 | 0-2-6-15 | 1-5/3-7/6-22/15 | valinorsmic |
| 43 | 0-5-6-15 | 1-9/5-7/6-22/15 | shrusic |
| 44 | 0-2-9-15 | 1-5/3-5/4-22/15 | valinorsmic |
| 45 | 0-5-9-15 | 1-9/5-5/4-22/15 | tridecimal thrush |
| 46 | 0-1-10-15 | 1-9/7-13/8-22/15 | superleap-minthmic |
| 47 | 0-5-10-15 | 1-9/5-13/8-22/15 | marveltwin-minthmic |
| 48 | 0-6-10-15 | 1-7/6-13/8-22/15 | tridecimal thrush |
| 49 | 0-9-10-15 | 1-5/4-13/8-22/15 | shrusic |
| 50 | 0-6-13-15 | 1-7/6-7/4-22/15 | valinorsmic |
| 51 | 0-9-13-15 | 1-5/4-7/4-22/15 | valinorsmic |
| 52 | 0-1-14-15 | 1-9/7-9/8-22/15 | sensmic |
| 53 | 0-5-14-15 | 1-9/5-9/8-22/15 | superleap-minthmic |
| 54 | 0-9-14-15 | 1-5/4-9/8-22/15 | shrusus |
| 55 | 0-10-14-15 | 1-13/8-9/8-22/15 | superleap-minthmic |
| 56 | 0-13-14-15 | 1-7/4-9/8-22/15 | shrusus |
| 57 | 0-2-4-17 | 1-5/3-7/5-11/9 | thrush |
| 58 | 0-2-7-17 | 1-5/3-3/2-11/9 | minthmic |
| 59 | 0-4-10-17 | 1-7/5-13/8-11/9 | mynucumic-minthmic |
| 60 | 0-4-13-17 | 1-7/5-7/4-11/9 | werckismic |
| 61 | 0-7-13-17 | 1-3/2-7/4-11/9 | mynucumic-minthmic |
| 62 | 0-2-15-17 | 1-5/3-22/15-11/9 | valinorsmic |
| 63 | 0-10-15-17 | 1-13/8-22/15-11/9 | minthmic |
| 64 | 0-13-15-17 | 1-7/4-22/15-11/9 | thrush |
| 65 | 0-1-5-18 | 1-9/7-9/5-11/7 | werckismic |
| 66 | 0-4-5-18 | 1-7/5-9/5-11/7 | werckismic |
| 67 | 0-4-9-18 | 1-7/5-5/4-11/7 | thrush |
| 68 | 0-5-9-18 | 1-9/5-5/4-11/7 | thrush |
| 69 | 0-4-13-18 | 1-7/5-7/4-11/7 | werckismic |
| 70 | 0-9-13-18 | 1-5/4-7/4-11/7 | thrush |
| 71 | 0-1-14-18 | 1-9/7-9/8-11/7 | werckismic |
| 72 | 0-4-14-18 | 1-7/5-9/8-11/7 | werckismic-superleap |
| 73 | 0-5-14-18 | 1-9/5-9/8-11/7 | werckismic |
| 74 | 0-9-14-18 | 1-5/4-9/8-11/7 | thrush |
| 75 | 0-13-14-18 | 1-7/4-9/8-11/7 | werckismic |
| 76 | 0-4-17-18 | 1-7/5-11/9-11/7 | werckismic |
| 77 | 0-13-17-18 | 1-7/4-11/9-11/7 | werckismic |
| 78 | 0-4-6-21 | 1-18/13-15/13-22/13 | otonal |
| 79 | 0-6-7-21 | 1-7/6-3/2-22/13 | superleap-minthmic |
| 80 | 0-4-14-21 | 1-7/5-9/8-22/13 | superleap-minthmic |
| 81 | 0-7-14-21 | 1-3/2-9/8-22/13 | minthmic |
| 82 | 0-6-15-21 | 1-7/6-22/15-22/13 | valinorsmic-superleap |
| 83 | 0-14-15-21 | 1-9/8-22/15-22/13 | superleap-minthmic |
| 84 | 0-4-17-21 | 1-7/5-11/9-22/13 | werckismic-superleap |
| 85 | 0-7-17-21 | 1-3/2-11/9-22/13 | superleap-minthmic |
| 86 | 0-15-17-21 | 1-22/15-11/9-22/13 | utonal |
| 87 | 0-1-5-22 | 1-13/10-9/5-11/10 | otonal |
| 88 | 0-4-5-22 | 1-7/5-9/5-11/10 | otonal |
| 89 | 0-1-7-22 | 1-13/10-3/2-11/10 | otonal |
| 90 | 0-5-7-22 | 1-9/5-3/2-11/10 | otonal |
| 91 | 0-4-9-22 | 1-7/5-5/4-11/10 | thrush |
| 92 | 0-5-9-22 | 1-9/5-5/4-11/10 | thrush |
| 93 | 0-7-9-22 | 1-3/2-5/4-11/10 | valinorsmic |
| 94 | 0-4-13-22 | 1-7/5-7/4-11/10 | valinorsmic |
| 95 | 0-7-13-22 | 1-3/2-7/4-11/10 | valinorsmic |
| 96 | 0-9-13-22 | 1-5/4-7/4-11/10 | valinorsmic |
| 97 | 0-1-15-22 | 1-9/7-22/15-11/10 | superleap-minthmic |
| 98 | 0-5-15-22 | 1-9/5-22/15-11/10 | minthmic |
| 99 | 0-9-15-22 | 1-5/4-22/15-11/10 | valinorsmic |
| 100 | 0-13-15-22 | 1-7/4-22/15-11/10 | valinorsmic |
| 101 | 0-4-17-22 | 1-7/5-11/9-11/10 | werckismic |
| 102 | 0-7-17-22 | 1-3/2-11/9-11/10 | minthmic |
| 103 | 0-13-17-22 | 1-7/4-11/9-11/10 | thrush |
| 104 | 0-15-17-22 | 1-22/15-11/9-11/10 | utonal |
| 105 | 0-1-18-22 | 1-9/7-11/7-11/10 | superleap |
| 106 | 0-4-18-22 | 1-7/5-11/7-11/10 | werckismic |
| 107 | 0-5-18-22 | 1-9/5-11/7-11/10 | werckismic |
| 108 | 0-9-18-22 | 1-5/4-11/7-11/10 | valinorsmic |
| 109 | 0-13-18-22 | 1-7/4-11/7-11/10 | thrush |
| 110 | 0-17-18-22 | 1-11/9-11/7-11/10 | utonal |
| 111 | 0-4-21-22 | 1-7/5-22/13-11/10 | superleap |
| 112 | 0-7-21-22 | 1-3/2-22/13-11/10 | superleap-minthmic |
| 113 | 0-15-21-22 | 1-22/15-22/13-11/10 | utonal |
| 114 | 0-17-21-22 | 1-11/9-22/13-11/10 | utonal |
| 115 | 0-2-6-24 | 1-5/3-7/6-11/6 | otonal |
| 116 | 0-2-7-24 | 1-5/3-3/2-11/6 | otonal |
| 117 | 0-6-7-24 | 1-7/6-3/2-11/6 | otonal |
| 118 | 0-2-9-24 | 1-5/3-5/4-11/6 | otonal |
| 119 | 0-7-9-24 | 1-3/2-5/4-11/6 | otonal |
| 120 | 0-6-10-24 | 1-7/6-13/8-11/6 | mynucumic-minthmic |
| 121 | 0-9-10-24 | 1-5/4-13/8-11/6 | superleap-minthmic |
| 122 | 0-7-14-24 | 1-3/2-9/8-11/6 | minthmic |
| 123 | 0-9-14-24 | 1-5/4-9/8-11/6 | minthmic |
| 124 | 0-10-14-24 | 1-13/8-9/8-11/6 | superleap-minthmic |
| 125 | 0-2-15-24 | 1-5/3-22/15-11/6 | valinorsmic |
| 126 | 0-6-15-24 | 1-7/6-22/15-11/6 | valinorsmic |
| 127 | 0-9-15-24 | 1-5/4-22/15-11/6 | valinorsmic |
| 128 | 0-10-15-24 | 1-13/8-22/15-11/6 | minthmic |
| 129 | 0-14-15-24 | 1-9/8-22/15-11/6 | superleap-minthmic |
| 130 | 0-2-17-24 | 1-5/3-11/9-11/6 | otonal |
| 131 | 0-7-17-24 | 1-3/2-11/9-11/6 | minthmic |
| 132 | 0-10-17-24 | 1-13/8-11/9-11/6 | minthmic |
| 133 | 0-15-17-24 | 1-22/15-11/9-11/6 | utonal |
| 134 | 0-9-18-24 | 1-5/4-11/7-11/6 | valinorsmic |
| 135 | 0-14-18-24 | 1-9/8-11/7-11/6 | mynucumic-minthmic |
| 136 | 0-17-18-24 | 1-11/9-11/7-11/6 | utonal |
| 137 | 0-7-22-24 | 1-3/2-11/10-11/6 | utonal |
| 138 | 0-9-22-24 | 1-5/4-11/10-11/6 | valinorsmic |
| 139 | 0-15-22-24 | 1-22/15-11/10-11/6 | utonal |
| 140 | 0-17-22-24 | 1-11/9-11/10-11/6 | utonal |
| 141 | 0-18-22-24 | 1-11/7-11/10-11/6 | utonal |
| 142 | 0-7-9-31 | 1-3/2-5/4-11/8 | otonal |
| 143 | 0-9-10-31 | 1-5/4-13/8-11/8 | otonal |
| 144 | 0-7-13-31 | 1-3/2-7/4-11/8 | otonal |
| 145 | 0-9-13-31 | 1-5/4-7/4-11/8 | otonal |
| 146 | 0-7-14-31 | 1-3/2-9/8-11/8 | otonal |
| 147 | 0-9-14-31 | 1-5/4-9/8-11/8 | otonal |
| 148 | 0-10-14-31 | 1-13/8-9/8-11/8 | otonal |
| 149 | 0-13-14-31 | 1-7/4-9/8-11/8 | otonal |
| 150 | 0-7-17-31 | 1-3/2-11/9-11/8 | minthmic |
| 151 | 0-10-17-31 | 1-13/8-11/9-11/8 | minthmic |
| 152 | 0-13-17-31 | 1-7/4-11/9-11/8 | werckismic |
| 153 | 0-9-18-31 | 1-5/4-11/7-11/8 | valinorsmic |
| 154 | 0-13-18-31 | 1-7/4-11/7-11/8 | werckismic |
| 155 | 0-14-18-31 | 1-9/8-11/7-11/8 | werckismic |
| 156 | 0-17-18-31 | 1-11/9-11/7-11/8 | utonal |
| 157 | 0-7-21-31 | 1-3/2-22/13-11/8 | minthmic |
| 158 | 0-14-21-31 | 1-9/8-22/13-11/8 | minthmic |
| 159 | 0-17-21-31 | 1-11/9-22/13-11/8 | utonal |
| 160 | 0-7-22-31 | 1-3/2-11/10-11/8 | utonal |
| 161 | 0-9-22-31 | 1-5/4-11/10-11/8 | valinorsmic |
| 162 | 0-13-22-31 | 1-7/4-11/10-11/8 | valinorsmic |
| 163 | 0-17-22-31 | 1-11/9-11/10-11/8 | utonal |
| 164 | 0-18-22-31 | 1-11/7-11/10-11/8 | utonal |
| 165 | 0-21-22-31 | 1-22/13-11/10-11/8 | utonal |
| 166 | 0-7-24-31 | 1-3/2-11/6-11/8 | ambitonal |
| 167 | 0-9-24-31 | 1-5/4-11/6-11/8 | otonal |
| 168 | 0-10-24-31 | 1-13/8-11/6-11/8 | minthmic |
| 169 | 0-14-24-31 | 1-9/8-11/6-11/8 | minthmic |
| 170 | 0-17-24-31 | 1-11/9-11/6-11/8 | utonal |
| 171 | 0-18-24-31 | 1-11/7-11/6-11/8 | utonal |
| 172 | 0-22-24-31 | 1-11/10-11/6-11/8 | utonal |
Pentads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0-1-2-6-7 | 1-9/7-5/3-7/6-3/2 | sensamagic |
| 2 | 0-1-5-6-7 | 1-9/7-9/5-7/6-3/2 | sensamagic |
| 3 | 0-1-5-6-10 | 1-9/7-9/5-7/6-13/8 | sensigh |
| 4 | 0-4-5-6-10 | 1-7/5-9/5-7/6-13/8 | sensamagic-mynucumic |
| 5 | 0-4-5-9-10 | 1-7/5-9/5-5/4-13/8 | sensigh |
| 6 | 0-1-5-7-14 | 1-9/7-9/5-3/2-9/8 | utonal |
| 7 | 0-4-5-9-14 | 1-7/5-9/5-5/4-9/8 | starling-superleap |
| 8 | 0-5-7-9-14 | 1-9/5-3/2-5/4-9/8 | starling |
| 9 | 0-1-5-10-14 | 1-9/7-9/5-13/8-9/8 | starling-superleap |
| 10 | 0-4-5-10-14 | 1-7/5-9/5-13/8-9/8 | sensigh |
| 11 | 0-4-9-10-14 | 1-7/5-5/4-13/8-9/8 | sensigh |
| 12 | 0-5-9-10-14 | 1-9/5-5/4-13/8-9/8 | starling-superleap |
| 13 | 0-4-9-13-14 | 1-7/5-5/4-7/4-9/8 | starling-superleap |
| 14 | 0-7-9-13-14 | 1-3/2-5/4-7/4-9/8 | otonal |
| 15 | 0-1-2-6-15 | 1-9/7-5/3-7/6-22/15 | shrusus |
| 16 | 0-1-5-6-15 | 1-9/7-9/5-7/6-22/15 | shrusic |
| 17 | 0-1-5-10-15 | 1-9/7-9/5-13/8-22/15 | treecreeper |
| 18 | 0-1-6-10-15 | 1-9/7-7/6-13/8-22/15 | sensus |
| 19 | 0-5-6-10-15 | 1-9/5-7/6-13/8-22/15 | sensus |
| 20 | 0-5-9-10-15 | 1-9/5-5/4-13/8-22/15 | sensus |
| 21 | 0-1-5-14-15 | 1-9/7-9/5-9/8-22/15 | superleap-minthmic |
| 22 | 0-5-9-14-15 | 1-9/5-5/4-9/8-22/15 | sensus |
| 23 | 0-1-10-14-15 | 1-9/7-13/8-9/8-22/15 | superleap-minthmic |
| 24 | 0-5-10-14-15 | 1-9/5-13/8-9/8-22/15 | treecreeper |
| 25 | 0-9-10-14-15 | 1-5/4-13/8-9/8-22/15 | shrusic |
| 26 | 0-9-13-14-15 | 1-5/4-7/4-9/8-22/15 | shrusus |
| 27 | 0-4-5-9-18 | 1-7/5-9/5-5/4-11/7 | thrush |
| 28 | 0-4-9-13-18 | 1-7/5-5/4-7/4-11/7 | thrush |
| 29 | 0-1-5-14-18 | 1-9/7-9/5-9/8-11/7 | werckismic |
| 30 | 0-4-5-14-18 | 1-7/5-9/5-9/8-11/7 | werckismic-superleap |
| 31 | 0-4-9-14-18 | 1-7/5-5/4-9/8-11/7 | veery |
| 32 | 0-5-9-14-18 | 1-9/5-5/4-9/8-11/7 | thrush |
| 33 | 0-4-13-14-18 | 1-7/5-7/4-9/8-11/7 | werckismic-superleap |
| 34 | 0-9-13-14-18 | 1-5/4-7/4-9/8-11/7 | thrush |
| 35 | 0-4-13-17-18 | 1-7/5-7/4-11/9-11/7 | werckismic |
| 36 | 0-1-5-7-22 | 1-13/10-9/5-3/2-11/10 | otonal |
| 37 | 0-4-5-9-22 | 1-7/5-9/5-5/4-11/10 | thrush |
| 38 | 0-5-7-9-22 | 1-9/5-3/2-5/4-11/10 | thrush |
| 39 | 0-4-9-13-22 | 1-7/5-5/4-7/4-11/10 | thrush |
| 40 | 0-7-9-13-22 | 1-3/2-5/4-7/4-11/10 | valinorsmic |
| 41 | 0-1-5-15-22 | 1-9/7-9/5-22/15-11/10 | superleap-minthmic |
| 42 | 0-5-9-15-22 | 1-9/5-5/4-22/15-11/10 | tridecimal thrush |
| 43 | 0-9-13-15-22 | 1-5/4-7/4-22/15-11/10 | valinorsmic |
| 44 | 0-4-13-17-22 | 1-7/5-7/4-11/9-11/10 | thrush |
| 45 | 0-7-13-17-22 | 1-3/2-7/4-11/9-11/10 | tridecimal thrush |
| 46 | 0-13-15-17-22 | 1-7/4-22/15-11/9-11/10 | thrush |
| 47 | 0-1-5-18-22 | 1-9/7-9/5-11/7-11/10 | werckismic-superleap |
| 48 | 0-4-5-18-22 | 1-7/5-9/5-11/7-11/10 | werckismic |
| 49 | 0-4-9-18-22 | 1-7/5-5/4-11/7-11/10 | thrush |
| 50 | 0-5-9-18-22 | 1-9/5-5/4-11/7-11/10 | thrush |
| 51 | 0-4-13-18-22 | 1-7/5-7/4-11/7-11/10 | thrush |
| 52 | 0-9-13-18-22 | 1-5/4-7/4-11/7-11/10 | thrush |
| 53 | 0-4-17-18-22 | 1-7/5-11/9-11/7-11/10 | werckismic |
| 54 | 0-13-17-18-22 | 1-7/4-11/9-11/7-11/10 | thrush |
| 55 | 0-4-17-21-22 | 1-7/5-11/9-22/13-11/10 | werckismic-superleap |
| 56 | 0-7-17-21-22 | 1-3/2-11/9-22/13-11/10 | superleap-minthmic |
| 57 | 0-15-17-21-22 | 1-22/15-11/9-22/13-11/10 | utonal |
| 58 | 0-2-6-7-24 | 1-5/3-7/6-3/2-11/6 | otonal |
| 59 | 0-2-7-9-24 | 1-5/3-3/2-5/4-11/6 | otonal |
| 60 | 0-7-9-14-24 | 1-3/2-5/4-9/8-11/6 | minthmic |
| 61 | 0-9-10-14-24 | 1-5/4-13/8-9/8-11/6 | superleap-minthmic |
| 62 | 0-2-6-15-24 | 1-5/3-7/6-22/15-11/6 | valinorsmic |
| 63 | 0-2-9-15-24 | 1-5/3-5/4-22/15-11/6 | valinorsmic |
| 64 | 0-6-10-15-24 | 1-7/6-13/8-22/15-11/6 | tridecimal thrush |
| 65 | 0-9-10-15-24 | 1-5/4-13/8-22/15-11/6 | shrusic |
| 66 | 0-9-14-15-24 | 1-5/4-9/8-22/15-11/6 | shrusic |
| 67 | 0-10-14-15-24 | 1-13/8-9/8-22/15-11/6 | superleap-minthmic |
| 68 | 0-2-7-17-24 | 1-5/3-3/2-11/9-11/6 | minthmic |
| 69 | 0-2-15-17-24 | 1-5/3-22/15-11/9-11/6 | valinorsmic |
| 70 | 0-10-15-17-24 | 1-13/8-22/15-11/9-11/6 | minthmic |
| 71 | 0-9-14-18-24 | 1-5/4-9/8-11/7-11/6 | tridecimal thrush |
| 72 | 0-7-9-22-24 | 1-3/2-5/4-11/10-11/6 | valinorsmic |
| 73 | 0-9-15-22-24 | 1-5/4-22/15-11/10-11/6 | valinorsmic |
| 74 | 0-7-17-22-24 | 1-3/2-11/9-11/10-11/6 | minthmic |
| 75 | 0-15-17-22-24 | 1-22/15-11/9-11/10-11/6 | utonal |
| 76 | 0-9-18-22-24 | 1-5/4-11/7-11/10-11/6 | valinorsmic |
| 77 | 0-17-18-22-24 | 1-11/9-11/7-11/10-11/6 | utonal |
| 78 | 0-7-9-13-31 | 1-3/2-5/4-7/4-11/8 | otonal |
| 79 | 0-7-9-14-31 | 1-3/2-5/4-9/8-11/8 | otonal |
| 80 | 0-9-10-14-31 | 1-5/4-13/8-9/8-11/8 | otonal |
| 81 | 0-7-13-14-31 | 1-3/2-7/4-9/8-11/8 | otonal |
| 82 | 0-9-13-14-31 | 1-5/4-7/4-9/8-11/8 | otonal |
| 83 | 0-7-13-17-31 | 1-3/2-7/4-11/9-11/8 | mynucumic-minthmic |
| 84 | 0-9-13-18-31 | 1-5/4-7/4-11/7-11/8 | thrush |
| 85 | 0-9-14-18-31 | 1-5/4-9/8-11/7-11/8 | thrush |
| 86 | 0-13-14-18-31 | 1-7/4-9/8-11/7-11/8 | werckismic |
| 87 | 0-13-17-18-31 | 1-7/4-11/9-11/7-11/8 | werckismic |
| 88 | 0-7-14-21-31 | 1-3/2-9/8-22/13-11/8 | minthmic |
| 89 | 0-7-17-21-31 | 1-3/2-11/9-22/13-11/8 | superleap-minthmic |
| 90 | 0-7-9-22-31 | 1-3/2-5/4-11/10-11/8 | valinorsmic |
| 91 | 0-7-13-22-31 | 1-3/2-7/4-11/10-11/8 | valinorsmic |
| 92 | 0-9-13-22-31 | 1-5/4-7/4-11/10-11/8 | valinorsmic |
| 93 | 0-7-17-22-31 | 1-3/2-11/9-11/10-11/8 | minthmic |
| 94 | 0-13-17-22-31 | 1-7/4-11/9-11/10-11/8 | thrush |
| 95 | 0-9-18-22-31 | 1-5/4-11/7-11/10-11/8 | valinorsmic |
| 96 | 0-13-18-22-31 | 1-7/4-11/7-11/10-11/8 | thrush |
| 97 | 0-17-18-22-31 | 1-11/9-11/7-11/10-11/8 | utonal |
| 98 | 0-7-21-22-31 | 1-3/2-22/13-11/10-11/8 | superleap-minthmic |
| 99 | 0-17-21-22-31 | 1-11/9-22/13-11/10-11/8 | utonal |
| 100 | 0-7-9-24-31 | 1-3/2-5/4-11/6-11/8 | otonal |
| 101 | 0-9-10-24-31 | 1-5/4-13/8-11/6-11/8 | superleap-minthmic |
| 102 | 0-7-14-24-31 | 1-3/2-9/8-11/6-11/8 | minthmic |
| 103 | 0-9-14-24-31 | 1-5/4-9/8-11/6-11/8 | minthmic |
| 104 | 0-10-14-24-31 | 1-13/8-9/8-11/6-11/8 | superleap-minthmic |
| 105 | 0-7-17-24-31 | 1-3/2-11/9-11/6-11/8 | minthmic |
| 106 | 0-10-17-24-31 | 1-13/8-11/9-11/6-11/8 | minthmic |
| 107 | 0-9-18-24-31 | 1-5/4-11/7-11/6-11/8 | valinorsmic |
| 108 | 0-14-18-24-31 | 1-9/8-11/7-11/6-11/8 | mynucumic-minthmic |
| 109 | 0-17-18-24-31 | 1-11/9-11/7-11/6-11/8 | utonal |
| 110 | 0-7-22-24-31 | 1-3/2-11/10-11/6-11/8 | utonal |
| 111 | 0-9-22-24-31 | 1-5/4-11/10-11/6-11/8 | valinorsmic |
| 112 | 0-17-22-24-31 | 1-11/9-11/10-11/6-11/8 | utonal |
| 113 | 0-18-22-24-31 | 1-11/7-11/10-11/6-11/8 | utonal |
Hexads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0-4-5-9-10-14 | 1-7/5-9/5-5/4-13/8-9/8 | sensigh |
| 2 | 0-1-5-6-10-15 | 1-9/7-9/5-7/6-13/8-22/15 | sensus |
| 3 | 0-1-5-10-14-15 | 1-9/7-9/5-13/8-9/8-22/15 | treecreeper |
| 4 | 0-5-9-10-14-15 | 1-9/5-5/4-13/8-9/8-22/15 | sensus |
| 5 | 0-4-5-9-14-18 | 1-7/5-9/5-5/4-9/8-11/7 | veery |
| 6 | 0-4-9-13-14-18 | 1-7/5-5/4-7/4-9/8-11/7 | veery |
| 7 | 0-4-5-9-18-22 | 1-7/5-9/5-5/4-11/7-11/10 | thrush |
| 8 | 0-4-9-13-18-22 | 1-7/5-5/4-7/4-11/7-11/10 | thrush |
| 9 | 0-4-13-17-18-22 | 1-7/5-7/4-11/9-11/7-11/10 | thrush |
| 10 | 0-9-10-14-15-24 | 1-5/4-13/8-9/8-22/15-11/6 | shrusic |
| 11 | 0-7-9-13-14-31 | 1-3/2-5/4-7/4-9/8-11/8 | otonal |
| 12 | 0-9-13-14-18-31 | 1-5/4-7/4-9/8-11/7-11/8 | thrush |
| 13 | 0-7-9-13-22-31 | 1-3/2-5/4-7/4-11/10-11/8 | valinorsmic |
| 14 | 0-7-13-17-22-31 | 1-3/2-7/4-11/9-11/10-11/8 | tridecimal thrush |
| 15 | 0-9-13-18-22-31 | 1-5/4-7/4-11/7-11/10-11/8 | thrush |
| 16 | 0-13-17-18-22-31 | 1-7/4-11/9-11/7-11/10-11/8 | thrush |
| 17 | 0-7-17-21-22-31 | 1-3/2-11/9-22/13-11/10-11/8 | superleap-minthmic |
| 18 | 0-7-9-14-24-31 | 1-3/2-5/4-9/8-11/6-11/8 | minthmic |
| 19 | 0-9-10-14-24-31 | 1-5/4-13/8-9/8-11/6-11/8 | superleap-minthmic |
| 20 | 0-9-14-18-24-31 | 1-5/4-9/8-11/7-11/6-11/8 | tridecimal thrush |
| 21 | 0-7-9-22-24-31 | 1-3/2-5/4-11/10-11/6-11/8 | valinorsmic |
| 22 | 0-7-17-22-24-31 | 1-3/2-11/9-11/10-11/6-11/8 | minthmic |
| 23 | 0-9-18-22-24-31 | 1-5/4-11/7-11/10-11/6-11/8 | valinorsmic |
| 24 | 0-17-18-22-24-31 | 1-11/9-11/7-11/10-11/6-11/8 | utonal |