Sqrtphi/Chords: Difference between revisions
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Below are listed the 15-limit [[Dyadic_chord|dyadic chords]] of [[Kleismic_family#Sqrtphi|sqrtphi temperament]], subject to the condition that no interval smaller than [[12/11|12/11]], at 150 cents, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 325/324 are labeled marveltwin, by 364/363 gentle, by 540/539 swetismic, by 676/675 island, and by 1575/1573 nicolic. [[Rank_and_codimension|Codimension]] two temperaments are labeled swetismic-gentle, island-gentle and kleismic-marveltwin according to two commas which define it. | |||
Sqrtphi has MOS of size 5, 8, 11, 14, 17, 20, 23, 26, 49 and 72. The largest chords on these lists have complexity 70, and so would require the 72 note MOS, but there are many chords of much lower complexity. Sqrtphi has a generator very close to √φ = √((1+√5)/2), which can be chosen to be exactly √φ. Either way, aside from the dyadic chords, chords with stacks of φ are interesting since φ² - φ = 1, resulting in a relationship between difference tones. Though it isn't the "official" 13/8 of sqrtphi, φ is only 7.44 cents flat of 13/8 which is close enough for government work. Chords such as 0-2-4-8-10 containing stacks of φs composers might find of interest. | |||
=Triads= | =Triads= | ||
|| Number || Chord || Transversal || Type | | |||
|| 1 || 0-1-9 || 1-11/7-11/6 || utonal | | {| class="wikitable" | ||
|| 2 || 0-8-9 || 1-7/6-11/6 || otonal | | |- | ||
|| 3 || 0-1-10 || 1-11/7-13/9 || gentle | | | | Number | ||
|| 4 || 0-5-10 || 1-6/5-13/9 || marveltwin | | | Chord | ||
|| 5 || 0-9-10 || 1-11/6-13/9 || gentle | | | | Transversal | ||
|| 6 || 0-5-13 || 1-6/5-7/5 || otonal | | | | Type | ||
|| 7 || 0-8-13 || 1-7/6-7/5 || utonal | | |- | ||
|| 8 || 0-1-14 || 1-11/7-11/10 || utonal | | | | 1 | ||
|| 9 || 0-5-14 || 1-6/5-11/10 || otonal | | | | 0-1-9 | ||
|| 10 || 0-9-14 || 1-11/6-11/10 || utonal | | | | 1-11/7-11/6 | ||
|| 11 || 0-13-14 || 1-7/5-11/10 || otonal | | | | utonal | ||
|| 12 || 0-1-15 || 1-11/7-26/15 || gentle | | |- | ||
|| 13 || 0-5-15 || 1-6/5-26/15 || otonal | | | | 2 | ||
|| 14 || 0-10-15 || 1-13/9-26/15 || utonal | | | | 0-8-9 | ||
|| 15 || 0-14-15 || 1-11/10-26/15 || gentle | | | | 1-7/6-11/6 | ||
|| 16 || 0-1-16 || 1-11/7-15/11 || nicolic | | | | otonal | ||
|| 17 || 0-8-16 || 1-7/6-15/11 || swetismic | | |- | ||
|| 18 || 0-15-16 || 1-26/15-15/11 || nicolic | | | | 3 | ||
|| 19 || 0-5-21 || 1-6/5-18/11 || utonal | | | | 0-1-10 | ||
|| 20 || 0-8-21 || 1-7/6-18/11 || swetismic | | | | 1-11/7-13/9 | ||
|| 21 || 0-13-21 || 1-7/5-18/11 || swetismic | | | | gentle | ||
|| 22 || 0-16-21 || 1-15/11-18/11 || otonal | | |- | ||
|| 23 || 0-1-22 || 1-11/7-9/7 || otonal | | | | 4 | ||
|| 24 || 0-8-22 || 1-7/6-9/7 || swetismic | | | | 0-5-10 | ||
|| 25 || 0-9-22 || 1-11/6-9/7 || swetismic | | | | 1-6/5-13/9 | ||
|| 26 || 0-13-22 || 1-7/5-9/7 || swetismic | | | | marveltwin | ||
|| 27 || 0-14-22 || 1-11/10-9/7 || swetismic | |- | ||
|| 28 || 0-21-22 || 1-18/11-9/7 || utonal | | | | 5 | ||
|| 29 || 0-9-25 || 1-11/6-5/4 || otonal | | | | 0-9-10 | ||
|| 30 || 0-10-25 || 1-13/9-5/4 || island | | | | 1-11/6-13/9 | ||
|| 31 || 0-15-25 || 1-26/15-5/4 || island | | | | gentle | ||
|| 32 || 0-16-25 || 1-15/11-5/4 || utonal | | |- | ||
|| 33 || 0-5-30 || 1-6/5-3/2 || utonal | | | | 6 | ||
|| 34 || 0-8-30 || 1-7/6-3/2 || otonal | | | | 0-5-13 | ||
|| 35 || 0-9-30 || 1-11/6-3/2 || otonal | | | | 1-6/5-7/5 | ||
|| 36 || 0-14-30 || 1-11/10-3/2 || otonal | | | | otonal | ||
|| 37 || 0-15-30 || 1-26/15-3/2 || island | | |- | ||
|| 38 || 0-16-30 || 1-15/11-3/2 || utonal | | | | 7 | ||
|| 39 || 0-21-30 || 1-18/11-3/2 || utonal | | | | 0-8-13 | ||
|| 40 || 0-22-30 || 1-9/7-3/2 || utonal | | | | 1-7/6-7/5 | ||
|| 41 || 0-25-30 || 1-5/4-3/2 || otonal | | | | utonal | ||
|| 42 || 0-1-31 || 1-11/7-13/11 || gentle | | |- | ||
|| 43 || 0-9-31 || 1-11/6-13/11 || gentle | | | | 8 | ||
|| 44 || 0-10-31 || 1-13/9-13/11 || utonal | | | | 0-1-14 | ||
|| 45 || 0-15-31 || 1-26/15-13/11 || utonal | | | | 1-11/7-11/10 | ||
|| 46 || 0-16-31 || 1-15/11-13/11 || otonal | | | | utonal | ||
|| 47 || 0-21-31 || 1-18/11-13/11 || otonal | | |- | ||
|| 48 || 0-22-31 || 1-9/7-13/11 || gentle | | | | 9 | ||
|| 49 || 0-30-31 || 1-3/2-13/11 || gentle | | | | 0-5-14 | ||
|| 50 || 0-5-35 || 1-6/5-9/5 || otonal | | | 1-6/5-11/10 | ||
|| 51 || 0-10-35 || 1-13/9-9/5 || marveltwin | | | | otonal | ||
|| 52 || 0-13-35 || 1-7/5-9/5 || otonal | | |- | ||
|| 53 || 0-14-35 || 1-11/10-9/5 || otonal | | | | 10 | ||
|| 54 || 0-21-35 || 1-18/11-9/5 || utonal | | | | 0-9-14 | ||
|| 55 || 0-22-35 || 1-9/7-9/5 || utonal | | | | 1-11/6-11/10 | ||
|| 56 || 0-25-35 || 1-5/4-9/5 || marveltwin | | | | utonal | ||
|| 57 || 0-30-35 || 1-3/2-9/5 || utonal | | |- | ||
|| 58 || 0-8-38 || 1-7/6-7/4 || utonal | | | | 11 | ||
|| 59 || 0-13-38 || 1-7/5-7/4 || utonal | | | | 0-13-14 | ||
|| 60 || 0-16-38 || 1-15/11-7/4 || swetismic | | | | 1-7/5-11/10 | ||
|| 61 || 0-22-38 || 1-9/7-7/4 || swetismic | | | | otonal | ||
|| 62 || 0-25-38 || 1-5/4-7/4 || otonal | | |- | ||
|| 63 || 0-30-38 || 1-3/2-7/4 || otonal | | | | 12 | ||
|| 64 || 0-1-39 || 1-11/7-11/8 || utonal | | | | 0-1-15 | ||
|| 65 || 0-8-39 || 1-7/6-11/8 || gentle | | | | 1-11/7-26/15 | ||
|| 66 || 0-9-39 || 1-11/6-11/8 || utonal | | | | gentle | ||
|| 67 || 0-14-39 || 1-11/10-11/8 || utonal | | |- | ||
|| 68 || 0-25-39 || 1-5/4-11/8 || otonal | | | | 13 | ||
|| 69 || 0-30-39 || 1-3/2-11/8 || otonal | | | | 0-5-15 | ||
|| 70 || 0-31-39 || 1-13/11-11/8 || gentle | | | | 1-6/5-26/15 | ||
|| 71 || 0-38-39 || 1-7/4-11/8 || otonal | | | | otonal | ||
|| 72 || 0-10-45 || 1-13/9-13/10 || utonal | | |- | ||
|| 73 || 0-14-45 || 1-11/10-13/10 || otonal | | | 14 | ||
|| 74 || 0-15-45 || 1-26/15-13/10 || utonal | | | | 0-10-15 | ||
|| 75 || 0-30-45 || 1-3/2-13/10 || otonal | | | | 1-13/9-26/15 | ||
|| 76 || 0-31-45 || 1-13/11-13/10 || utonal | | | | utonal | ||
|| 77 || 0-35-45 || 1-9/5-13/10 || otonal | | |- | ||
|| 78 || 0-15-60 || 1-26/15-9/8 || island | | | | 15 | ||
|| 79 || 0-21-60 || 1-18/11-9/8 || utonal | | | | 0-14-15 | ||
|| 80 || 0-22-60 || 1-9/7-9/8 || utonal | | | | 1-11/10-26/15 | ||
|| 81 || 0-25-60 || 1-5/4-9/8 || otonal | | | | gentle | ||
|| 82 || 0-30-60 || 1-3/2-9/8 || ambitonal | | |- | ||
|| 83 || 0-35-60 || 1-9/5-9/8 || utonal | | | | 16 | ||
|| 84 || 0-38-60 || 1-7/4-9/8 || otonal | | | | 0-1-16 | ||
|| 85 || 0-39-60 || 1-11/8-9/8 || otonal | | | | 1-11/7-15/11 | ||
|| 86 || 0-45-60 || 1-13/10-9/8 || island | | | | nicolic | ||
|| 87 || 0-10-70 || 1-13/9-13/8 || utonal | | |- | ||
|| 88 || 0-25-70 || 1-5/4-13/8 || otonal | | | | 17 | ||
|| 89 || 0-31-70 || 1-13/11-13/8 || utonal | | | | 0-8-16 | ||
|| 90 || 0-35-70 || 1-9/5-13/8 || marveltwin | | | | 1-7/6-15/11 | ||
|| 91 || 0-39-70 || 1-11/8-13/8 || otonal | | | | swetismic | ||
|| 92 || 0-45-70 || 1-13/10-13/8 || utonal | | |- | ||
|| 93 || 0-60-70 || 1-9/8-13/8 || otonal | | | | 18 | ||
| | 0-15-16 | |||
| | 1-26/15-15/11 | |||
| | nicolic | |||
|- | |||
| | 19 | |||
| | 0-5-21 | |||
| | 1-6/5-18/11 | |||
| | utonal | |||
|- | |||
| | 20 | |||
| | 0-8-21 | |||
| | 1-7/6-18/11 | |||
| | swetismic | |||
|- | |||
| | 21 | |||
| | 0-13-21 | |||
| | 1-7/5-18/11 | |||
| | swetismic | |||
|- | |||
| | 22 | |||
| | 0-16-21 | |||
| | 1-15/11-18/11 | |||
| | otonal | |||
|- | |||
| | 23 | |||
| | 0-1-22 | |||
| | 1-11/7-9/7 | |||
| | otonal | |||
|- | |||
| | 24 | |||
| | 0-8-22 | |||
| | 1-7/6-9/7 | |||
| | swetismic | |||
|- | |||
| | 25 | |||
| | 0-9-22 | |||
| | 1-11/6-9/7 | |||
| | swetismic | |||
|- | |||
| | 26 | |||
| | 0-13-22 | |||
| | 1-7/5-9/7 | |||
| | swetismic | |||
|- | |||
| | 27 | |||
| | 0-14-22 | |||
| | 1-11/10-9/7 | |||
| | swetismic | |||
|- | |||
| | 28 | |||
| | 0-21-22 | |||
| | 1-18/11-9/7 | |||
| | utonal | |||
|- | |||
| | 29 | |||
| | 0-9-25 | |||
| | 1-11/6-5/4 | |||
| | otonal | |||
|- | |||
| | 30 | |||
| | 0-10-25 | |||
| | 1-13/9-5/4 | |||
| | island | |||
|- | |||
| | 31 | |||
| | 0-15-25 | |||
| | 1-26/15-5/4 | |||
| | island | |||
|- | |||
| | 32 | |||
| | 0-16-25 | |||
| | 1-15/11-5/4 | |||
| | utonal | |||
|- | |||
| | 33 | |||
| | 0-5-30 | |||
| | 1-6/5-3/2 | |||
| | utonal | |||
|- | |||
| | 34 | |||
| | 0-8-30 | |||
| | 1-7/6-3/2 | |||
| | otonal | |||
|- | |||
| | 35 | |||
| | 0-9-30 | |||
| | 1-11/6-3/2 | |||
| | otonal | |||
|- | |||
| | 36 | |||
| | 0-14-30 | |||
| | 1-11/10-3/2 | |||
| | otonal | |||
|- | |||
| | 37 | |||
| | 0-15-30 | |||
| | 1-26/15-3/2 | |||
| | island | |||
|- | |||
| | 38 | |||
| | 0-16-30 | |||
| | 1-15/11-3/2 | |||
| | utonal | |||
|- | |||
| | 39 | |||
| | 0-21-30 | |||
| | 1-18/11-3/2 | |||
| | utonal | |||
|- | |||
| | 40 | |||
| | 0-22-30 | |||
| | 1-9/7-3/2 | |||
| | utonal | |||
|- | |||
| | 41 | |||
| | 0-25-30 | |||
| | 1-5/4-3/2 | |||
| | otonal | |||
|- | |||
| | 42 | |||
| | 0-1-31 | |||
| | 1-11/7-13/11 | |||
| | gentle | |||
|- | |||
| | 43 | |||
| | 0-9-31 | |||
| | 1-11/6-13/11 | |||
| | gentle | |||
|- | |||
| | 44 | |||
| | 0-10-31 | |||
| | 1-13/9-13/11 | |||
| | utonal | |||
|- | |||
| | 45 | |||
| | 0-15-31 | |||
| | 1-26/15-13/11 | |||
| | utonal | |||
|- | |||
| | 46 | |||
| | 0-16-31 | |||
| | 1-15/11-13/11 | |||
| | otonal | |||
|- | |||
| | 47 | |||
| | 0-21-31 | |||
| | 1-18/11-13/11 | |||
| | otonal | |||
|- | |||
| | 48 | |||
| | 0-22-31 | |||
| | 1-9/7-13/11 | |||
| | gentle | |||
|- | |||
| | 49 | |||
| | 0-30-31 | |||
| | 1-3/2-13/11 | |||
| | gentle | |||
|- | |||
| | 50 | |||
| | 0-5-35 | |||
| | 1-6/5-9/5 | |||
| | otonal | |||
|- | |||
| | 51 | |||
| | 0-10-35 | |||
| | 1-13/9-9/5 | |||
| | marveltwin | |||
|- | |||
| | 52 | |||
| | 0-13-35 | |||
| | 1-7/5-9/5 | |||
| | otonal | |||
|- | |||
| | 53 | |||
| | 0-14-35 | |||
| | 1-11/10-9/5 | |||
| | otonal | |||
|- | |||
| | 54 | |||
| | 0-21-35 | |||
| | 1-18/11-9/5 | |||
| | utonal | |||
|- | |||
| | 55 | |||
| | 0-22-35 | |||
| | 1-9/7-9/5 | |||
| | utonal | |||
|- | |||
| | 56 | |||
| | 0-25-35 | |||
| | 1-5/4-9/5 | |||
| | marveltwin | |||
|- | |||
| | 57 | |||
| | 0-30-35 | |||
| | 1-3/2-9/5 | |||
| | utonal | |||
|- | |||
| | 58 | |||
| | 0-8-38 | |||
| | 1-7/6-7/4 | |||
| | utonal | |||
|- | |||
| | 59 | |||
| | 0-13-38 | |||
| | 1-7/5-7/4 | |||
| | utonal | |||
|- | |||
| | 60 | |||
| | 0-16-38 | |||
| | 1-15/11-7/4 | |||
| | swetismic | |||
|- | |||
| | 61 | |||
| | 0-22-38 | |||
| | 1-9/7-7/4 | |||
| | swetismic | |||
|- | |||
| | 62 | |||
| | 0-25-38 | |||
| | 1-5/4-7/4 | |||
| | otonal | |||
|- | |||
| | 63 | |||
| | 0-30-38 | |||
| | 1-3/2-7/4 | |||
| | otonal | |||
|- | |||
| | 64 | |||
| | 0-1-39 | |||
| | 1-11/7-11/8 | |||
| | utonal | |||
|- | |||
| | 65 | |||
| | 0-8-39 | |||
| | 1-7/6-11/8 | |||
| | gentle | |||
|- | |||
| | 66 | |||
| | 0-9-39 | |||
| | 1-11/6-11/8 | |||
| | utonal | |||
|- | |||
| | 67 | |||
| | 0-14-39 | |||
| | 1-11/10-11/8 | |||
| | utonal | |||
|- | |||
| | 68 | |||
| | 0-25-39 | |||
| | 1-5/4-11/8 | |||
| | otonal | |||
|- | |||
| | 69 | |||
| | 0-30-39 | |||
| | 1-3/2-11/8 | |||
| | otonal | |||
|- | |||
| | 70 | |||
| | 0-31-39 | |||
| | 1-13/11-11/8 | |||
| | gentle | |||
|- | |||
| | 71 | |||
| | 0-38-39 | |||
| | 1-7/4-11/8 | |||
| | otonal | |||
|- | |||
| | 72 | |||
| | 0-10-45 | |||
| | 1-13/9-13/10 | |||
| | utonal | |||
|- | |||
| | 73 | |||
| | 0-14-45 | |||
| | 1-11/10-13/10 | |||
| | otonal | |||
|- | |||
| | 74 | |||
| | 0-15-45 | |||
| | 1-26/15-13/10 | |||
| | utonal | |||
|- | |||
| | 75 | |||
| | 0-30-45 | |||
| | 1-3/2-13/10 | |||
| | otonal | |||
|- | |||
| | 76 | |||
| | 0-31-45 | |||
| | 1-13/11-13/10 | |||
| | utonal | |||
|- | |||
| | 77 | |||
| | 0-35-45 | |||
| | 1-9/5-13/10 | |||
| | otonal | |||
|- | |||
| | 78 | |||
| | 0-15-60 | |||
| | 1-26/15-9/8 | |||
| | island | |||
|- | |||
| | 79 | |||
| | 0-21-60 | |||
| | 1-18/11-9/8 | |||
| | utonal | |||
|- | |||
| | 80 | |||
| | 0-22-60 | |||
| | 1-9/7-9/8 | |||
| | utonal | |||
|- | |||
| | 81 | |||
| | 0-25-60 | |||
| | 1-5/4-9/8 | |||
| | otonal | |||
|- | |||
| | 82 | |||
| | 0-30-60 | |||
| | 1-3/2-9/8 | |||
| | ambitonal | |||
|- | |||
| | 83 | |||
| | 0-35-60 | |||
| | 1-9/5-9/8 | |||
| | utonal | |||
|- | |||
| | 84 | |||
| | 0-38-60 | |||
| | 1-7/4-9/8 | |||
| | otonal | |||
|- | |||
| | 85 | |||
| | 0-39-60 | |||
| | 1-11/8-9/8 | |||
| | otonal | |||
|- | |||
| | 86 | |||
| | 0-45-60 | |||
| | 1-13/10-9/8 | |||
| | island | |||
|- | |||
| | 87 | |||
| | 0-10-70 | |||
| | 1-13/9-13/8 | |||
| | utonal | |||
|- | |||
| | 88 | |||
| | 0-25-70 | |||
| | 1-5/4-13/8 | |||
| | otonal | |||
|- | |||
| | 89 | |||
| | 0-31-70 | |||
| | 1-13/11-13/8 | |||
| | utonal | |||
|- | |||
| | 90 | |||
| | 0-35-70 | |||
| | 1-9/5-13/8 | |||
| | marveltwin | |||
|- | |||
| | 91 | |||
| | 0-39-70 | |||
| | 1-11/8-13/8 | |||
| | otonal | |||
|- | |||
| | 92 | |||
| | 0-45-70 | |||
| | 1-13/10-13/8 | |||
| | utonal | |||
|- | |||
| | 93 | |||
| | 0-60-70 | |||
| | 1-9/8-13/8 | |||
| | otonal | |||
|} | |||
=Tetrads= | =Tetrads= | ||
|| Number || Chord || Transversal || Type | | |||
|| 1 || 0-1-9-10 || 1-11/7-11/6-13/9 || gentle | | {| class="wikitable" | ||
|| 2 || 0-1-9-14 || 1-11/7-11/6-11/10 || utonal | | |- | ||
|| 3 || 0-5-13-14 || 1-6/5-7/5-11/10 || otonal | | | | Number | ||
|| 4 || 0-1-10-15 || 1-11/7-13/9-26/15 || gentle | | | | Chord | ||
|| 5 || 0-5-10-15 || 1-6/5-13/9-26/15 || marveltwin | | | | Transversal | ||
|| 6 || 0-1-14-15 || 1-11/7-11/10-26/15 || gentle | | | | Type | ||
|| 7 || 0-5-14-15 || 1-6/5-11/10-26/15 || gentle | | |- | ||
|| 8 || 0-1-15-16 || 1-11/7-26/15-15/11 || island-gentle | | | | 1 | ||
|| 9 || 0-5-13-21 || 1-6/5-7/5-18/11 || swetismic | | | | 0-1-9-10 | ||
|| 10 || 0-8-13-21 || 1-7/6-7/5-18/11 || swetismic | | | | 1-11/7-11/6-13/9 | ||
|| 11 || 0-8-16-21 || 1-7/6-15/11-18/11 || swetismic | | | | gentle | ||
|| 12 || 0-1-9-22 || 1-11/7-11/6-9/7 || swetismic | | |- | ||
|| 13 || 0-8-9-22 || 1-7/6-11/6-9/7 || swetismic | | | | 2 | ||
|| 14 || 0-8-13-22 || 1-7/6-7/5-9/7 || swetismic | | | | 0-1-9-14 | ||
|| 15 || 0-1-14-22 || 1-11/7-11/10-9/7 || swetismic | | | | 1-11/7-11/6-11/10 | ||
|| 16 || 0-9-14-22 || 1-11/6-11/10-9/7 || swetismic | | | | utonal | ||
|| 17 || 0-13-14-22 || 1-7/5-11/10-9/7 || swetismic | | |- | ||
|| 18 || 0-8-21-22 || 1-7/6-18/11-9/7 || swetismic | | | | 3 | ||
|| 19 || 0-13-21-22 || 1-7/5-18/11-9/7 || swetismic | | | | 0-5-13-14 | ||
|| 20 || 0-9-10-25 || 1-11/6-13/9-5/4 || island-gentle | | | | 1-6/5-7/5-11/10 | ||
|| 21 || 0-10-15-25 || 1-13/9-26/15-5/4 || island | | | | otonal | ||
|| 22 || 0-15-16-25 || 1-26/15-15/11-5/4 || island-gentle | | |- | ||
|| 23 || 0-8-9-30 || 1-7/6-11/6-3/2 || otonal | | | | 4 | ||
|| 24 || 0-5-14-30 || 1-6/5-11/10-3/2 || otonal | | | | 0-1-10-15 | ||
|| 25 || 0-9-14-30 || 1-11/6-11/10-3/2 || utonal | | | | 1-11/7-13/9-26/15 | ||
|| 26 || 0-5-15-30 || 1-6/5-26/15-3/2 || island | | | | gentle | ||
|| 27 || 0-14-15-30 || 1-11/10-26/15-3/2 || island-gentle | | |- | ||
|| 28 || 0-8-16-30 || 1-7/6-15/11-3/2 || swetismic | | | | 5 | ||
|| 29 || 0-15-16-30 || 1-26/15-15/11-3/2 || island-gentle | | | | 0-5-10-15 | ||
|| 30 || 0-5-21-30 || 1-6/5-18/11-3/2 || utonal | | | | 1-6/5-13/9-26/15 | ||
|| 31 || 0-8-21-30 || 1-7/6-18/11-3/2 || swetismic | | | | marveltwin | ||
|| 32 || 0-16-21-30 || 1-15/11-18/11-3/2 || otonal | | |- | ||
|| 33 || 0-8-22-30 || 1-7/6-9/7-3/2 || swetismic | | | | 6 | ||
|| 34 || 0-9-22-30 || 1-11/6-9/7-3/2 || swetismic | | | | 0-1-14-15 | ||
|| 35 || 0-14-22-30 || 1-11/10-9/7-3/2 || swetismic | | | | 1-11/7-11/10-26/15 | ||
|| 36 || 0-21-22-30 || 1-18/11-9/7-3/2 || utonal | | | | gentle | ||
|| 37 || 0-9-25-30 || 1-11/6-5/4-3/2 || otonal | | |- | ||
|| 38 || 0-15-25-30 || 1-26/15-5/4-3/2 || island | | | | 7 | ||
|| 39 || 0-16-25-30 || 1-15/11-5/4-3/2 || utonal | | | | 0-5-14-15 | ||
|| 40 || 0-1-9-31 || 1-11/7-11/6-13/11 || gentle | | | | 1-6/5-11/10-26/15 | ||
|| 41 || 0-1-10-31 || 1-11/7-13/9-13/11 || gentle | | | | gentle | ||
|| 42 || 0-9-10-31 || 1-11/6-13/9-13/11 || gentle | | |- | ||
|| 43 || 0-1-15-31 || 1-11/7-26/15-13/11 || gentle | | | | 8 | ||
|| 44 || 0-10-15-31 || 1-13/9-26/15-13/11 || utonal | | | | 0-1-15-16 | ||
|| 45 || 0-1-16-31 || 1-11/7-15/11-13/11 || island-gentle | | | | 1-11/7-26/15-15/11 | ||
|| 46 || 0-15-16-31 || 1-26/15-15/11-13/11 || nicolic | | | | island-gentle | ||
|| 47 || 0-16-21-31 || 1-15/11-18/11-13/11 || otonal | | |- | ||
|| 48 || 0-1-22-31 || 1-11/7-9/7-13/11 || gentle | | | | 9 | ||
|| 49 || 0-9-22-31 || 1-11/6-9/7-13/11 || swetismic-gentle | | | | 0-5-13-21 | ||
|| 50 || 0-21-22-31 || 1-18/11-9/7-13/11 || gentle | | | | 1-6/5-7/5-18/11 | ||
|| 51 || 0-9-30-31 || 1-11/6-3/2-13/11 || gentle | | | | swetismic | ||
|| 52 || 0-15-30-31 || 1-26/15-3/2-13/11 || island-gentle | | |- | ||
|| 53 || 0-16-30-31 || 1-15/11-3/2-13/11 || gentle | | | | 10 | ||
|| 54 || 0-21-30-31 || 1-18/11-3/2-13/11 || gentle | | | | 0-8-13-21 | ||
|| 55 || 0-22-30-31 || 1-9/7-3/2-13/11 || gentle | | | | 1-7/6-7/5-18/11 | ||
|| 56 || 0-5-10-35 || 1-6/5-13/9-9/5 || marveltwin | | | | swetismic | ||
|| 57 || 0-5-13-35 || 1-6/5-7/5-9/5 || otonal | | |- | ||
|| 58 || 0-5-14-35 || 1-6/5-11/10-9/5 || otonal | | | | 11 | ||
|| 59 || 0-13-14-35 || 1-7/5-11/10-9/5 || otonal | | | | 0-8-16-21 | ||
|| 60 || 0-5-21-35 || 1-6/5-18/11-9/5 || utonal | | | | 1-7/6-15/11-18/11 | ||
|| 61 || 0-13-21-35 || 1-7/5-18/11-9/5 || swetismic | | | | swetismic | ||
|| 62 || 0-13-22-35 || 1-7/5-9/7-9/5 || swetismic | | |- | ||
|| 63 || 0-14-22-35 || 1-11/10-9/7-9/5 || swetismic | | | | 12 | ||
|| 64 || 0-21-22-35 || 1-18/11-9/7-9/5 || utonal | | | | 0-1-9-22 | ||
|| 65 || 0-10-25-35 || 1-13/9-5/4-9/5 || kleismic-marveltwin | | | | 1-11/7-11/6-9/7 | ||
|| 66 || 0-5-30-35 || 1-6/5-3/2-9/5 || ambitonal | | | | swetismic | ||
|| 67 || 0-14-30-35 || 1-11/10-3/2-9/5 || otonal | | |- | ||
|| 68 || 0-21-30-35 || 1-18/11-3/2-9/5 || utonal | | | | 13 | ||
|| 69 || 0-22-30-35 || 1-9/7-3/2-9/5 || utonal | | | | 0-8-9-22 | ||
|| 70 || 0-25-30-35 || 1-5/4-3/2-9/5 || marveltwin | | | | 1-7/6-11/6-9/7 | ||
|| 71 || 0-8-13-38 || 1-7/6-7/5-7/4 || utonal | | | | swetismic | ||
|| 72 || 0-8-16-38 || 1-7/6-15/11-7/4 || swetismic | | |- | ||
|| 73 || 0-8-22-38 || 1-7/6-9/7-7/4 || swetismic | | | | 14 | ||
|| 74 || 0-13-22-38 || 1-7/5-9/7-7/4 || swetismic | | | | 0-8-13-22 | ||
|| 75 || 0-16-25-38 || 1-15/11-5/4-7/4 || swetismic | | | | 1-7/6-7/5-9/7 | ||
|| 76 || 0-8-30-38 || 1-7/6-3/2-7/4 || ambitonal | | | | swetismic | ||
|| 77 || 0-16-30-38 || 1-15/11-3/2-7/4 || swetismic | | |- | ||
|| 78 || 0-22-30-38 || 1-9/7-3/2-7/4 || swetismic | | | | 15 | ||
|| 79 || 0-25-30-38 || 1-5/4-3/2-7/4 || otonal | | | | 0-1-14-22 | ||
|| 80 || 0-1-9-39 || 1-11/7-11/6-11/8 || utonal | | | | 1-11/7-11/10-9/7 | ||
|| 81 || 0-8-9-39 || 1-7/6-11/6-11/8 || gentle | | | | swetismic | ||
|| 82 || 0-1-14-39 || 1-11/7-11/10-11/8 || utonal | | |- | ||
|| 83 || 0-9-14-39 || 1-11/6-11/10-11/8 || utonal | | | | 16 | ||
|| 84 || 0-9-25-39 || 1-11/6-5/4-11/8 || otonal | | | | 0-9-14-22 | ||
|| 85 || 0-8-30-39 || 1-7/6-3/2-11/8 || gentle | | | | 1-11/6-11/10-9/7 | ||
|| 86 || 0-9-30-39 || 1-11/6-3/2-11/8 || ambitonal | | | | swetismic | ||
|| 87 || 0-14-30-39 || 1-11/10-3/2-11/8 || utonal | | |- | ||
|| 88 || 0-25-30-39 || 1-5/4-3/2-11/8 || otonal | | | | 17 | ||
|| 89 || 0-1-31-39 || 1-11/7-13/11-11/8 || gentle | | | | 0-13-14-22 | ||
|| 90 || 0-9-31-39 || 1-11/6-13/11-11/8 || gentle | | | | 1-7/5-11/10-9/7 | ||
|| 91 || 0-30-31-39 || 1-3/2-13/11-11/8 || gentle | | | | swetismic | ||
|| 92 || 0-8-38-39 || 1-7/6-7/4-11/8 || gentle | | |- | ||
|| 93 || 0-25-38-39 || 1-5/4-7/4-11/8 || otonal | | | | 18 | ||
|| 94 || 0-30-38-39 || 1-3/2-7/4-11/8 || otonal | | | | 0-8-21-22 | ||
|| 95 || 0-10-15-45 || 1-13/9-26/15-13/10 || utonal | | | | 1-7/6-18/11-9/7 | ||
|| 96 || 0-14-15-45 || 1-11/10-26/15-13/10 || gentle | | | | swetismic | ||
|| 97 || 0-14-30-45 || 1-11/10-3/2-13/10 || otonal | | |- | ||
|| 98 || 0-15-30-45 || 1-26/15-3/2-13/10 || island | | | | 19 | ||
|| 99 || 0-10-31-45 || 1-13/9-13/11-13/10 || utonal | | | | 0-13-21-22 | ||
|| 100 || 0-15-31-45 || 1-26/15-13/11-13/10 || utonal | | | | 1-7/5-18/11-9/7 | ||
|| 101 || 0-30-31-45 || 1-3/2-13/11-13/10 || gentle | | | | swetismic | ||
|| 102 || 0-10-35-45 || 1-13/9-9/5-13/10 || marveltwin | | |- | ||
|| 103 || 0-14-35-45 || 1-11/10-9/5-13/10 || otonal | | | | 20 | ||
|| 104 || 0-30-35-45 || 1-3/2-9/5-13/10 || otonal | | | | 0-9-10-25 | ||
|| 105 || 0-21-22-60 || 1-18/11-9/7-9/8 || utonal | | | | 1-11/6-13/9-5/4 | ||
|| 106 || 0-15-25-60 || 1-26/15-5/4-9/8 || island | | | | island-gentle | ||
|| 107 || 0-15-30-60 || 1-26/15-3/2-9/8 || island | | |- | ||
|| 108 || 0-21-30-60 || 1-18/11-3/2-9/8 || utonal | | | | 21 | ||
|| 109 || 0-22-30-60 || 1-9/7-3/2-9/8 || utonal | | | | 0-10-15-25 | ||
|| 110 || 0-25-30-60 || 1-5/4-3/2-9/8 || otonal | | | | 1-13/9-26/15-5/4 | ||
|| 111 || 0-21-35-60 || 1-18/11-9/5-9/8 || utonal | | | | island | ||
|| 112 || 0-22-35-60 || 1-9/7-9/5-9/8 || utonal | | |- | ||
|| 113 || 0-25-35-60 || 1-5/4-9/5-9/8 || marveltwin | | | | 22 | ||
|| 114 || 0-30-35-60 || 1-3/2-9/5-9/8 || utonal | | | | 0-15-16-25 | ||
|| 115 || 0-22-38-60 || 1-9/7-7/4-9/8 || swetismic | | | | 1-26/15-15/11-5/4 | ||
|| 116 || 0-25-38-60 || 1-5/4-7/4-9/8 || otonal | | | | island-gentle | ||
|| 117 || 0-30-38-60 || 1-3/2-7/4-9/8 || otonal | | |- | ||
|| 118 || 0-25-39-60 || 1-5/4-11/8-9/8 || otonal | | | | 23 | ||
|| 119 || 0-30-39-60 || 1-3/2-11/8-9/8 || otonal | | | | 0-8-9-30 | ||
|| 120 || 0-38-39-60 || 1-7/4-11/8-9/8 || otonal | | | | 1-7/6-11/6-3/2 | ||
|| 121 || 0-15-45-60 || 1-26/15-13/10-9/8 || island | | | | otonal | ||
|| 122 || 0-30-45-60 || 1-3/2-13/10-9/8 || island | | |- | ||
|| 123 || 0-35-45-60 || 1-9/5-13/10-9/8 || island | | | | 24 | ||
|| 124 || 0-10-25-70 || 1-13/9-5/4-13/8 || island | | | | 0-5-14-30 | ||
|| 125 || 0-10-31-70 || 1-13/9-13/11-13/8 || utonal | | | | 1-6/5-11/10-3/2 | ||
|| 126 || 0-10-35-70 || 1-13/9-9/5-13/8 || marveltwin | | | | otonal | ||
|| 127 || 0-25-35-70 || 1-5/4-9/5-13/8 || marveltwin | | |- | ||
|| 128 || 0-25-39-70 || 1-5/4-11/8-13/8 || otonal | | | | 25 | ||
|| 129 || 0-31-39-70 || 1-13/11-11/8-13/8 || gentle | | | | 0-9-14-30 | ||
|| 130 || 0-10-45-70 || 1-13/9-13/10-13/8 || utonal | | | | 1-11/6-11/10-3/2 | ||
|| 131 || 0-31-45-70 || 1-13/11-13/10-13/8 || utonal | | | | utonal | ||
|| 132 || 0-35-45-70 || 1-9/5-13/10-13/8 || marveltwin | | |- | ||
|| 133 || 0-25-60-70 || 1-5/4-9/8-13/8 || otonal | | | | 26 | ||
|| 134 || 0-35-60-70 || 1-9/5-9/8-13/8 || marveltwin | | | | 0-5-15-30 | ||
|| 135 || 0-39-60-70 || 1-11/8-9/8-13/8 || otonal | | | | 1-6/5-26/15-3/2 | ||
|| 136 || 0-45-60-70 || 1-13/10-9/8-13/8 || island | | | | island | ||
|- | |||
| | 27 | |||
| | 0-14-15-30 | |||
| | 1-11/10-26/15-3/2 | |||
| | island-gentle | |||
|- | |||
| | 28 | |||
| | 0-8-16-30 | |||
| | 1-7/6-15/11-3/2 | |||
| | swetismic | |||
|- | |||
| | 29 | |||
| | 0-15-16-30 | |||
| | 1-26/15-15/11-3/2 | |||
| | island-gentle | |||
|- | |||
| | 30 | |||
| | 0-5-21-30 | |||
| | 1-6/5-18/11-3/2 | |||
| | utonal | |||
|- | |||
| | 31 | |||
| | 0-8-21-30 | |||
| | 1-7/6-18/11-3/2 | |||
| | swetismic | |||
|- | |||
| | 32 | |||
| | 0-16-21-30 | |||
| | 1-15/11-18/11-3/2 | |||
| | otonal | |||
|- | |||
| | 33 | |||
| | 0-8-22-30 | |||
| | 1-7/6-9/7-3/2 | |||
| | swetismic | |||
|- | |||
| | 34 | |||
| | 0-9-22-30 | |||
| | 1-11/6-9/7-3/2 | |||
| | swetismic | |||
|- | |||
| | 35 | |||
| | 0-14-22-30 | |||
| | 1-11/10-9/7-3/2 | |||
| | swetismic | |||
|- | |||
| | 36 | |||
| | 0-21-22-30 | |||
| | 1-18/11-9/7-3/2 | |||
| | utonal | |||
|- | |||
| | 37 | |||
| | 0-9-25-30 | |||
| | 1-11/6-5/4-3/2 | |||
| | otonal | |||
|- | |||
| | 38 | |||
| | 0-15-25-30 | |||
| | 1-26/15-5/4-3/2 | |||
| | island | |||
|- | |||
| | 39 | |||
| | 0-16-25-30 | |||
| | 1-15/11-5/4-3/2 | |||
| | utonal | |||
|- | |||
| | 40 | |||
| | 0-1-9-31 | |||
| | 1-11/7-11/6-13/11 | |||
| | gentle | |||
|- | |||
| | 41 | |||
| | 0-1-10-31 | |||
| | 1-11/7-13/9-13/11 | |||
| | gentle | |||
|- | |||
| | 42 | |||
| | 0-9-10-31 | |||
| | 1-11/6-13/9-13/11 | |||
| | gentle | |||
|- | |||
| | 43 | |||
| | 0-1-15-31 | |||
| | 1-11/7-26/15-13/11 | |||
| | gentle | |||
|- | |||
| | 44 | |||
| | 0-10-15-31 | |||
| | 1-13/9-26/15-13/11 | |||
| | utonal | |||
|- | |||
| | 45 | |||
| | 0-1-16-31 | |||
| | 1-11/7-15/11-13/11 | |||
| | island-gentle | |||
|- | |||
| | 46 | |||
| | 0-15-16-31 | |||
| | 1-26/15-15/11-13/11 | |||
| | nicolic | |||
|- | |||
| | 47 | |||
| | 0-16-21-31 | |||
| | 1-15/11-18/11-13/11 | |||
| | otonal | |||
|- | |||
| | 48 | |||
| | 0-1-22-31 | |||
| | 1-11/7-9/7-13/11 | |||
| | gentle | |||
|- | |||
| | 49 | |||
| | 0-9-22-31 | |||
| | 1-11/6-9/7-13/11 | |||
| | swetismic-gentle | |||
|- | |||
| | 50 | |||
| | 0-21-22-31 | |||
| | 1-18/11-9/7-13/11 | |||
| | gentle | |||
|- | |||
| | 51 | |||
| | 0-9-30-31 | |||
| | 1-11/6-3/2-13/11 | |||
| | gentle | |||
|- | |||
| | 52 | |||
| | 0-15-30-31 | |||
| | 1-26/15-3/2-13/11 | |||
| | island-gentle | |||
|- | |||
| | 53 | |||
| | 0-16-30-31 | |||
| | 1-15/11-3/2-13/11 | |||
| | gentle | |||
|- | |||
| | 54 | |||
| | 0-21-30-31 | |||
| | 1-18/11-3/2-13/11 | |||
| | gentle | |||
|- | |||
| | 55 | |||
| | 0-22-30-31 | |||
| | 1-9/7-3/2-13/11 | |||
| | gentle | |||
|- | |||
| | 56 | |||
| | 0-5-10-35 | |||
| | 1-6/5-13/9-9/5 | |||
| | marveltwin | |||
|- | |||
| | 57 | |||
| | 0-5-13-35 | |||
| | 1-6/5-7/5-9/5 | |||
| | otonal | |||
|- | |||
| | 58 | |||
| | 0-5-14-35 | |||
| | 1-6/5-11/10-9/5 | |||
| | otonal | |||
|- | |||
| | 59 | |||
| | 0-13-14-35 | |||
| | 1-7/5-11/10-9/5 | |||
| | otonal | |||
|- | |||
| | 60 | |||
| | 0-5-21-35 | |||
| | 1-6/5-18/11-9/5 | |||
| | utonal | |||
|- | |||
| | 61 | |||
| | 0-13-21-35 | |||
| | 1-7/5-18/11-9/5 | |||
| | swetismic | |||
|- | |||
| | 62 | |||
| | 0-13-22-35 | |||
| | 1-7/5-9/7-9/5 | |||
| | swetismic | |||
|- | |||
| | 63 | |||
| | 0-14-22-35 | |||
| | 1-11/10-9/7-9/5 | |||
| | swetismic | |||
|- | |||
| | 64 | |||
| | 0-21-22-35 | |||
| | 1-18/11-9/7-9/5 | |||
| | utonal | |||
|- | |||
| | 65 | |||
| | 0-10-25-35 | |||
| | 1-13/9-5/4-9/5 | |||
| | kleismic-marveltwin | |||
|- | |||
| | 66 | |||
| | 0-5-30-35 | |||
| | 1-6/5-3/2-9/5 | |||
| | ambitonal | |||
|- | |||
| | 67 | |||
| | 0-14-30-35 | |||
| | 1-11/10-3/2-9/5 | |||
| | otonal | |||
|- | |||
| | 68 | |||
| | 0-21-30-35 | |||
| | 1-18/11-3/2-9/5 | |||
| | utonal | |||
|- | |||
| | 69 | |||
| | 0-22-30-35 | |||
| | 1-9/7-3/2-9/5 | |||
| | utonal | |||
|- | |||
| | 70 | |||
| | 0-25-30-35 | |||
| | 1-5/4-3/2-9/5 | |||
| | marveltwin | |||
|- | |||
| | 71 | |||
| | 0-8-13-38 | |||
| | 1-7/6-7/5-7/4 | |||
| | utonal | |||
|- | |||
| | 72 | |||
| | 0-8-16-38 | |||
| | 1-7/6-15/11-7/4 | |||
| | swetismic | |||
|- | |||
| | 73 | |||
| | 0-8-22-38 | |||
| | 1-7/6-9/7-7/4 | |||
| | swetismic | |||
|- | |||
| | 74 | |||
| | 0-13-22-38 | |||
| | 1-7/5-9/7-7/4 | |||
| | swetismic | |||
|- | |||
| | 75 | |||
| | 0-16-25-38 | |||
| | 1-15/11-5/4-7/4 | |||
| | swetismic | |||
|- | |||
| | 76 | |||
| | 0-8-30-38 | |||
| | 1-7/6-3/2-7/4 | |||
| | ambitonal | |||
|- | |||
| | 77 | |||
| | 0-16-30-38 | |||
| | 1-15/11-3/2-7/4 | |||
| | swetismic | |||
|- | |||
| | 78 | |||
| | 0-22-30-38 | |||
| | 1-9/7-3/2-7/4 | |||
| | swetismic | |||
|- | |||
| | 79 | |||
| | 0-25-30-38 | |||
| | 1-5/4-3/2-7/4 | |||
| | otonal | |||
|- | |||
| | 80 | |||
| | 0-1-9-39 | |||
| | 1-11/7-11/6-11/8 | |||
| | utonal | |||
|- | |||
| | 81 | |||
| | 0-8-9-39 | |||
| | 1-7/6-11/6-11/8 | |||
| | gentle | |||
|- | |||
| | 82 | |||
| | 0-1-14-39 | |||
| | 1-11/7-11/10-11/8 | |||
| | utonal | |||
|- | |||
| | 83 | |||
| | 0-9-14-39 | |||
| | 1-11/6-11/10-11/8 | |||
| | utonal | |||
|- | |||
| | 84 | |||
| | 0-9-25-39 | |||
| | 1-11/6-5/4-11/8 | |||
| | otonal | |||
|- | |||
| | 85 | |||
| | 0-8-30-39 | |||
| | 1-7/6-3/2-11/8 | |||
| | gentle | |||
|- | |||
| | 86 | |||
| | 0-9-30-39 | |||
| | 1-11/6-3/2-11/8 | |||
| | ambitonal | |||
|- | |||
| | 87 | |||
| | 0-14-30-39 | |||
| | 1-11/10-3/2-11/8 | |||
| | utonal | |||
|- | |||
| | 88 | |||
| | 0-25-30-39 | |||
| | 1-5/4-3/2-11/8 | |||
| | otonal | |||
|- | |||
| | 89 | |||
| | 0-1-31-39 | |||
| | 1-11/7-13/11-11/8 | |||
| | gentle | |||
|- | |||
| | 90 | |||
| | 0-9-31-39 | |||
| | 1-11/6-13/11-11/8 | |||
| | gentle | |||
|- | |||
| | 91 | |||
| | 0-30-31-39 | |||
| | 1-3/2-13/11-11/8 | |||
| | gentle | |||
|- | |||
| | 92 | |||
| | 0-8-38-39 | |||
| | 1-7/6-7/4-11/8 | |||
| | gentle | |||
|- | |||
| | 93 | |||
| | 0-25-38-39 | |||
| | 1-5/4-7/4-11/8 | |||
| | otonal | |||
|- | |||
| | 94 | |||
| | 0-30-38-39 | |||
| | 1-3/2-7/4-11/8 | |||
| | otonal | |||
|- | |||
| | 95 | |||
| | 0-10-15-45 | |||
| | 1-13/9-26/15-13/10 | |||
| | utonal | |||
|- | |||
| | 96 | |||
| | 0-14-15-45 | |||
| | 1-11/10-26/15-13/10 | |||
| | gentle | |||
|- | |||
| | 97 | |||
| | 0-14-30-45 | |||
| | 1-11/10-3/2-13/10 | |||
| | otonal | |||
|- | |||
| | 98 | |||
| | 0-15-30-45 | |||
| | 1-26/15-3/2-13/10 | |||
| | island | |||
|- | |||
| | 99 | |||
| | 0-10-31-45 | |||
| | 1-13/9-13/11-13/10 | |||
| | utonal | |||
|- | |||
| | 100 | |||
| | 0-15-31-45 | |||
| | 1-26/15-13/11-13/10 | |||
| | utonal | |||
|- | |||
| | 101 | |||
| | 0-30-31-45 | |||
| | 1-3/2-13/11-13/10 | |||
| | gentle | |||
|- | |||
| | 102 | |||
| | 0-10-35-45 | |||
| | 1-13/9-9/5-13/10 | |||
| | marveltwin | |||
|- | |||
| | 103 | |||
| | 0-14-35-45 | |||
| | 1-11/10-9/5-13/10 | |||
| | otonal | |||
|- | |||
| | 104 | |||
| | 0-30-35-45 | |||
| | 1-3/2-9/5-13/10 | |||
| | otonal | |||
|- | |||
| | 105 | |||
| | 0-21-22-60 | |||
| | 1-18/11-9/7-9/8 | |||
| | utonal | |||
|- | |||
| | 106 | |||
| | 0-15-25-60 | |||
| | 1-26/15-5/4-9/8 | |||
| | island | |||
|- | |||
| | 107 | |||
| | 0-15-30-60 | |||
| | 1-26/15-3/2-9/8 | |||
| | island | |||
|- | |||
| | 108 | |||
| | 0-21-30-60 | |||
| | 1-18/11-3/2-9/8 | |||
| | utonal | |||
|- | |||
| | 109 | |||
| | 0-22-30-60 | |||
| | 1-9/7-3/2-9/8 | |||
| | utonal | |||
|- | |||
| | 110 | |||
| | 0-25-30-60 | |||
| | 1-5/4-3/2-9/8 | |||
| | otonal | |||
|- | |||
| | 111 | |||
| | 0-21-35-60 | |||
| | 1-18/11-9/5-9/8 | |||
| | utonal | |||
|- | |||
| | 112 | |||
| | 0-22-35-60 | |||
| | 1-9/7-9/5-9/8 | |||
| | utonal | |||
|- | |||
| | 113 | |||
| | 0-25-35-60 | |||
| | 1-5/4-9/5-9/8 | |||
| | marveltwin | |||
|- | |||
| | 114 | |||
| | 0-30-35-60 | |||
| | 1-3/2-9/5-9/8 | |||
| | utonal | |||
|- | |||
| | 115 | |||
| | 0-22-38-60 | |||
| | 1-9/7-7/4-9/8 | |||
| | swetismic | |||
|- | |||
| | 116 | |||
| | 0-25-38-60 | |||
| | 1-5/4-7/4-9/8 | |||
| | otonal | |||
|- | |||
| | 117 | |||
| | 0-30-38-60 | |||
| | 1-3/2-7/4-9/8 | |||
| | otonal | |||
|- | |||
| | 118 | |||
| | 0-25-39-60 | |||
| | 1-5/4-11/8-9/8 | |||
| | otonal | |||
|- | |||
| | 119 | |||
| | 0-30-39-60 | |||
| | 1-3/2-11/8-9/8 | |||
| | otonal | |||
|- | |||
| | 120 | |||
| | 0-38-39-60 | |||
| | 1-7/4-11/8-9/8 | |||
| | otonal | |||
|- | |||
| | 121 | |||
| | 0-15-45-60 | |||
| | 1-26/15-13/10-9/8 | |||
| | island | |||
|- | |||
| | 122 | |||
| | 0-30-45-60 | |||
| | 1-3/2-13/10-9/8 | |||
| | island | |||
|- | |||
| | 123 | |||
| | 0-35-45-60 | |||
| | 1-9/5-13/10-9/8 | |||
| | island | |||
|- | |||
| | 124 | |||
| | 0-10-25-70 | |||
| | 1-13/9-5/4-13/8 | |||
| | island | |||
|- | |||
| | 125 | |||
| | 0-10-31-70 | |||
| | 1-13/9-13/11-13/8 | |||
| | utonal | |||
|- | |||
| | 126 | |||
| | 0-10-35-70 | |||
| | 1-13/9-9/5-13/8 | |||
| | marveltwin | |||
|- | |||
| | 127 | |||
| | 0-25-35-70 | |||
| | 1-5/4-9/5-13/8 | |||
| | marveltwin | |||
|- | |||
| | 128 | |||
| | 0-25-39-70 | |||
| | 1-5/4-11/8-13/8 | |||
| | otonal | |||
|- | |||
| | 129 | |||
| | 0-31-39-70 | |||
| | 1-13/11-11/8-13/8 | |||
| | gentle | |||
|- | |||
| | 130 | |||
| | 0-10-45-70 | |||
| | 1-13/9-13/10-13/8 | |||
| | utonal | |||
|- | |||
| | 131 | |||
| | 0-31-45-70 | |||
| | 1-13/11-13/10-13/8 | |||
| | utonal | |||
|- | |||
| | 132 | |||
| | 0-35-45-70 | |||
| | 1-9/5-13/10-13/8 | |||
| | marveltwin | |||
|- | |||
| | 133 | |||
| | 0-25-60-70 | |||
| | 1-5/4-9/8-13/8 | |||
| | otonal | |||
|- | |||
| | 134 | |||
| | 0-35-60-70 | |||
| | 1-9/5-9/8-13/8 | |||
| | marveltwin | |||
|- | |||
| | 135 | |||
| | 0-39-60-70 | |||
| | 1-11/8-9/8-13/8 | |||
| | otonal | |||
|- | |||
| | 136 | |||
| | 0-45-60-70 | |||
| | 1-13/10-9/8-13/8 | |||
| | island | |||
|} | |||
=Pentads= | =Pentads= | ||
|| Number || Chord || Transversal || Type || | |||
{| class="wikitable" | |||
|- | |||
| | Number | |||
| | Chord | |||
| | Transversal | |||
| | Type | |||
|- | |||
| | 1 | |||
| | 0-1-9-14-22 | |||
| | 1-11/7-11/6-11/10-9/7 | |||
| | swetismic | |||
|- | |||
| | 2 | |||
| | 0-8-13-21-22 | |||
| | 1-7/6-7/5-18/11-9/7 | |||
| | swetismic | |||
|- | |||
| | 3 | |||
| | 0-5-14-15-30 | |||
| | 1-6/5-11/10-26/15-3/2 | |||
| | island-gentle | |||
|- | |||
| | 4 | |||
| | 0-8-16-21-30 | |||
| | 1-7/6-15/11-18/11-3/2 | |||
| | swetismic | |||
|- | |||
| | 5 | |||
| | 0-8-9-22-30 | |||
| | 1-7/6-11/6-9/7-3/2 | |||
| | swetismic | |||
|- | |||
| | 6 | |||
| | 0-9-14-22-30 | |||
| | 1-11/6-11/10-9/7-3/2 | |||
| | swetismic | |||
|- | |||
| | 7 | |||
| | 0-8-21-22-30 | |||
| | 1-7/6-18/11-9/7-3/2 | |||
| | swetismic | |||
|- | |||
| | 8 | |||
| | 0-15-16-25-30 | |||
| | 1-26/15-15/11-5/4-3/2 | |||
| | island-gentle | |||
|- | |||
| | 9 | |||
| | 0-1-9-10-31 | |||
| | 1-11/7-11/6-13/9-13/11 | |||
| | gentle | |||
|- | |||
| | 10 | |||
| | 0-1-10-15-31 | |||
| | 1-11/7-13/9-26/15-13/11 | |||
| | gentle | |||
|- | |||
| | 11 | |||
| | 0-1-15-16-31 | |||
| | 1-11/7-26/15-15/11-13/11 | |||
| | island-gentle | |||
|- | |||
| | 12 | |||
| | 0-1-9-22-31 | |||
| | 1-11/7-11/6-9/7-13/11 | |||
| | swetismic-gentle | |||
|- | |||
| | 13 | |||
| | 0-15-16-30-31 | |||
| | 1-26/15-15/11-3/2-13/11 | |||
| | island-gentle | |||
|- | |||
| | 14 | |||
| | 0-16-21-30-31 | |||
| | 1-15/11-18/11-3/2-13/11 | |||
| | gentle | |||
|- | |||
| | 15 | |||
| | 0-9-22-30-31 | |||
| | 1-11/6-9/7-3/2-13/11 | |||
| | swetismic-gentle | |||
|- | |||
| | 16 | |||
| | 0-21-22-30-31 | |||
| | 1-18/11-9/7-3/2-13/11 | |||
| | gentle | |||
|- | |||
| | 17 | |||
| | 0-5-13-14-35 | |||
| | 1-6/5-7/5-11/10-9/5 | |||
| | otonal | |||
|- | |||
| | 18 | |||
| | 0-5-13-21-35 | |||
| | 1-6/5-7/5-18/11-9/5 | |||
| | swetismic | |||
|- | |||
| | 19 | |||
| | 0-13-14-22-35 | |||
| | 1-7/5-11/10-9/7-9/5 | |||
| | swetismic | |||
|- | |||
| | 20 | |||
| | 0-13-21-22-35 | |||
| | 1-7/5-18/11-9/7-9/5 | |||
| | swetismic | |||
|- | |||
| | 21 | |||
| | 0-5-14-30-35 | |||
| | 1-6/5-11/10-3/2-9/5 | |||
| | otonal | |||
|- | |||
| | 22 | |||
| | 0-5-21-30-35 | |||
| | 1-6/5-18/11-3/2-9/5 | |||
| | utonal | |||
|- | |||
| | 23 | |||
| | 0-14-22-30-35 | |||
| | 1-11/10-9/7-3/2-9/5 | |||
| | swetismic | |||
|- | |||
| | 24 | |||
| | 0-21-22-30-35 | |||
| | 1-18/11-9/7-3/2-9/5 | |||
| | utonal | |||
|- | |||
| | 25 | |||
| | 0-8-13-22-38 | |||
| | 1-7/6-7/5-9/7-7/4 | |||
| | swetismic | |||
|- | |||
| | 26 | |||
| | 0-8-16-30-38 | |||
| | 1-7/6-15/11-3/2-7/4 | |||
| | swetismic | |||
|- | |||
| | 27 | |||
| | 0-8-22-30-38 | |||
| | 1-7/6-9/7-3/2-7/4 | |||
| | swetismic | |||
|- | |||
| | 28 | |||
| | 0-16-25-30-38 | |||
| | 1-15/11-5/4-3/2-7/4 | |||
| | swetismic | |||
|- | |||
| | 29 | |||
| | 0-1-9-14-39 | |||
| | 1-11/7-11/6-11/10-11/8 | |||
| | utonal | |||
|- | |||
| | 30 | |||
| | 0-8-9-30-39 | |||
| | 1-7/6-11/6-3/2-11/8 | |||
| | gentle | |||
|- | |||
| | 31 | |||
| | 0-9-14-30-39 | |||
| | 1-11/6-11/10-3/2-11/8 | |||
| | utonal | |||
|- | |||
| | 32 | |||
| | 0-9-25-30-39 | |||
| | 1-11/6-5/4-3/2-11/8 | |||
| | otonal | |||
|- | |||
| | 33 | |||
| | 0-1-9-31-39 | |||
| | 1-11/7-11/6-13/11-11/8 | |||
| | gentle | |||
|- | |||
| | 34 | |||
| | 0-9-30-31-39 | |||
| | 1-11/6-3/2-13/11-11/8 | |||
| | gentle | |||
|- | |||
| | 35 | |||
| | 0-8-30-38-39 | |||
| | 1-7/6-3/2-7/4-11/8 | |||
| | gentle | |||
|- | |||
| | 36 | |||
| | 0-25-30-38-39 | |||
| | 1-5/4-3/2-7/4-11/8 | |||
| | otonal | |||
|- | |||
| | 37 | |||
| | 0-14-15-30-45 | |||
| | 1-11/10-26/15-3/2-13/10 | |||
| | island-gentle | |||
|- | |||
| | 38 | |||
| | 0-10-15-31-45 | |||
| | 1-13/9-26/15-13/11-13/10 | |||
| | utonal | |||
|- | |||
| | 39 | |||
| | 0-15-30-31-45 | |||
| | 1-26/15-3/2-13/11-13/10 | |||
| | island-gentle | |||
|- | |||
| | 40 | |||
| | 0-14-30-35-45 | |||
| | 1-11/10-3/2-9/5-13/10 | |||
| | otonal | |||
|- | |||
| | 41 | |||
| | 0-21-22-30-60 | |||
| | 1-18/11-9/7-3/2-9/8 | |||
| | utonal | |||
|- | |||
| | 42 | |||
| | 0-15-25-30-60 | |||
| | 1-26/15-5/4-3/2-9/8 | |||
| | island | |||
|- | |||
| | 43 | |||
| | 0-21-22-35-60 | |||
| | 1-18/11-9/7-9/5-9/8 | |||
| | utonal | |||
|- | |||
| | 44 | |||
| | 0-21-30-35-60 | |||
| | 1-18/11-3/2-9/5-9/8 | |||
| | utonal | |||
|- | |||
| | 45 | |||
| | 0-22-30-35-60 | |||
| | 1-9/7-3/2-9/5-9/8 | |||
| | utonal | |||
|- | |||
| | 46 | |||
| | 0-25-30-35-60 | |||
| | 1-5/4-3/2-9/5-9/8 | |||
| | marveltwin | |||
|- | |||
| | 47 | |||
| | 0-22-30-38-60 | |||
| | 1-9/7-3/2-7/4-9/8 | |||
| | swetismic | |||
|- | |||
| | 48 | |||
| | 0-25-30-38-60 | |||
| | 1-5/4-3/2-7/4-9/8 | |||
| | otonal | |||
|- | |||
| | 49 | |||
| | 0-25-30-39-60 | |||
| | 1-5/4-3/2-11/8-9/8 | |||
| | otonal | |||
|- | |||
| | 50 | |||
| | 0-25-38-39-60 | |||
| | 1-5/4-7/4-11/8-9/8 | |||
| | otonal | |||
|- | |||
| | 51 | |||
| | 0-30-38-39-60 | |||
| | 1-3/2-7/4-11/8-9/8 | |||
| | otonal | |||
|- | |||
| | 52 | |||
| | 0-15-30-45-60 | |||
| | 1-26/15-3/2-13/10-9/8 | |||
| | island | |||
|- | |||
| | 53 | |||
| | 0-30-35-45-60 | |||
| | 1-3/2-9/5-13/10-9/8 | |||
| | island | |||
|- | |||
| | 54 | |||
| | 0-10-25-35-70 | |||
| | 1-13/9-5/4-9/5-13/8 | |||
| | kleismic-marveltwin | |||
|- | |||
| | 55 | |||
| | 0-10-31-45-70 | |||
| | 1-13/9-13/11-13/10-13/8 | |||
| | utonal | |||
|- | |||
| | 56 | |||
| | 0-10-35-45-70 | |||
| | 1-13/9-9/5-13/10-13/8 | |||
| | marveltwin | |||
|- | |||
| | 57 | |||
| | 0-25-35-60-70 | |||
| | 1-5/4-9/5-9/8-13/8 | |||
| | marveltwin | |||
|- | |||
| | 58 | |||
| | 0-25-39-60-70 | |||
| | 1-5/4-11/8-9/8-13/8 | |||
| | otonal | |||
|- | |||
| | 59 | |||
| | 0-35-45-60-70 | |||
| | 1-9/5-13/10-9/8-13/8 | |||
| | kleismic-marveltwin | |||
|} | |||
=Hexads= | =Hexads= | ||
{| class="wikitable" | |||
|- | |||
| | Number | |||
| | Chord | |||
| | Transversal | |||
| | Type | |||
|- | |||
| | 1 | |||
| | 0-21-22-30-35-60 | |||
| | 1-18/11-9/7-3/2-9/5-9/8 | |||
| | utonal | |||
|- | |||
| | 2 | |||
| | 0-25-30-38-39-60 | |||
| | 1-5/4-3/2-7/4-11/8-9/8 | |||
| | otonal | |||
|} | |||
[[Category:Lists of chords]] | |||
[[Category:Dyadic chords]] | |||
[[Category:15-odd-limit]] | |||
[[Category:Sqrtphi]] |
Latest revision as of 21:52, 22 June 2025
Below are listed the 15-limit dyadic chords of sqrtphi 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 325/324 are labeled marveltwin, by 364/363 gentle, by 540/539 swetismic, by 676/675 island, and by 1575/1573 nicolic. Codimension two temperaments are labeled swetismic-gentle, island-gentle and kleismic-marveltwin according to two commas which define it.
Sqrtphi has MOS of size 5, 8, 11, 14, 17, 20, 23, 26, 49 and 72. The largest chords on these lists have complexity 70, and so would require the 72 note MOS, but there are many chords of much lower complexity. Sqrtphi has a generator very close to √φ = √((1+√5)/2), which can be chosen to be exactly √φ. Either way, aside from the dyadic chords, chords with stacks of φ are interesting since φ² - φ = 1, resulting in a relationship between difference tones. Though it isn't the "official" 13/8 of sqrtphi, φ is only 7.44 cents flat of 13/8 which is close enough for government work. Chords such as 0-2-4-8-10 containing stacks of φs composers might find of interest.
Triads
Number | Chord | Transversal | Type |
1 | 0-1-9 | 1-11/7-11/6 | utonal |
2 | 0-8-9 | 1-7/6-11/6 | otonal |
3 | 0-1-10 | 1-11/7-13/9 | gentle |
4 | 0-5-10 | 1-6/5-13/9 | marveltwin |
5 | 0-9-10 | 1-11/6-13/9 | gentle |
6 | 0-5-13 | 1-6/5-7/5 | otonal |
7 | 0-8-13 | 1-7/6-7/5 | utonal |
8 | 0-1-14 | 1-11/7-11/10 | utonal |
9 | 0-5-14 | 1-6/5-11/10 | otonal |
10 | 0-9-14 | 1-11/6-11/10 | utonal |
11 | 0-13-14 | 1-7/5-11/10 | otonal |
12 | 0-1-15 | 1-11/7-26/15 | gentle |
13 | 0-5-15 | 1-6/5-26/15 | otonal |
14 | 0-10-15 | 1-13/9-26/15 | utonal |
15 | 0-14-15 | 1-11/10-26/15 | gentle |
16 | 0-1-16 | 1-11/7-15/11 | nicolic |
17 | 0-8-16 | 1-7/6-15/11 | swetismic |
18 | 0-15-16 | 1-26/15-15/11 | nicolic |
19 | 0-5-21 | 1-6/5-18/11 | utonal |
20 | 0-8-21 | 1-7/6-18/11 | swetismic |
21 | 0-13-21 | 1-7/5-18/11 | swetismic |
22 | 0-16-21 | 1-15/11-18/11 | otonal |
23 | 0-1-22 | 1-11/7-9/7 | otonal |
24 | 0-8-22 | 1-7/6-9/7 | swetismic |
25 | 0-9-22 | 1-11/6-9/7 | swetismic |
26 | 0-13-22 | 1-7/5-9/7 | swetismic |
27 | 0-14-22 | 1-11/10-9/7 | swetismic |
28 | 0-21-22 | 1-18/11-9/7 | utonal |
29 | 0-9-25 | 1-11/6-5/4 | otonal |
30 | 0-10-25 | 1-13/9-5/4 | island |
31 | 0-15-25 | 1-26/15-5/4 | island |
32 | 0-16-25 | 1-15/11-5/4 | utonal |
33 | 0-5-30 | 1-6/5-3/2 | utonal |
34 | 0-8-30 | 1-7/6-3/2 | otonal |
35 | 0-9-30 | 1-11/6-3/2 | otonal |
36 | 0-14-30 | 1-11/10-3/2 | otonal |
37 | 0-15-30 | 1-26/15-3/2 | island |
38 | 0-16-30 | 1-15/11-3/2 | utonal |
39 | 0-21-30 | 1-18/11-3/2 | utonal |
40 | 0-22-30 | 1-9/7-3/2 | utonal |
41 | 0-25-30 | 1-5/4-3/2 | otonal |
42 | 0-1-31 | 1-11/7-13/11 | gentle |
43 | 0-9-31 | 1-11/6-13/11 | gentle |
44 | 0-10-31 | 1-13/9-13/11 | utonal |
45 | 0-15-31 | 1-26/15-13/11 | utonal |
46 | 0-16-31 | 1-15/11-13/11 | otonal |
47 | 0-21-31 | 1-18/11-13/11 | otonal |
48 | 0-22-31 | 1-9/7-13/11 | gentle |
49 | 0-30-31 | 1-3/2-13/11 | gentle |
50 | 0-5-35 | 1-6/5-9/5 | otonal |
51 | 0-10-35 | 1-13/9-9/5 | marveltwin |
52 | 0-13-35 | 1-7/5-9/5 | otonal |
53 | 0-14-35 | 1-11/10-9/5 | otonal |
54 | 0-21-35 | 1-18/11-9/5 | utonal |
55 | 0-22-35 | 1-9/7-9/5 | utonal |
56 | 0-25-35 | 1-5/4-9/5 | marveltwin |
57 | 0-30-35 | 1-3/2-9/5 | utonal |
58 | 0-8-38 | 1-7/6-7/4 | utonal |
59 | 0-13-38 | 1-7/5-7/4 | utonal |
60 | 0-16-38 | 1-15/11-7/4 | swetismic |
61 | 0-22-38 | 1-9/7-7/4 | swetismic |
62 | 0-25-38 | 1-5/4-7/4 | otonal |
63 | 0-30-38 | 1-3/2-7/4 | otonal |
64 | 0-1-39 | 1-11/7-11/8 | utonal |
65 | 0-8-39 | 1-7/6-11/8 | gentle |
66 | 0-9-39 | 1-11/6-11/8 | utonal |
67 | 0-14-39 | 1-11/10-11/8 | utonal |
68 | 0-25-39 | 1-5/4-11/8 | otonal |
69 | 0-30-39 | 1-3/2-11/8 | otonal |
70 | 0-31-39 | 1-13/11-11/8 | gentle |
71 | 0-38-39 | 1-7/4-11/8 | otonal |
72 | 0-10-45 | 1-13/9-13/10 | utonal |
73 | 0-14-45 | 1-11/10-13/10 | otonal |
74 | 0-15-45 | 1-26/15-13/10 | utonal |
75 | 0-30-45 | 1-3/2-13/10 | otonal |
76 | 0-31-45 | 1-13/11-13/10 | utonal |
77 | 0-35-45 | 1-9/5-13/10 | otonal |
78 | 0-15-60 | 1-26/15-9/8 | island |
79 | 0-21-60 | 1-18/11-9/8 | utonal |
80 | 0-22-60 | 1-9/7-9/8 | utonal |
81 | 0-25-60 | 1-5/4-9/8 | otonal |
82 | 0-30-60 | 1-3/2-9/8 | ambitonal |
83 | 0-35-60 | 1-9/5-9/8 | utonal |
84 | 0-38-60 | 1-7/4-9/8 | otonal |
85 | 0-39-60 | 1-11/8-9/8 | otonal |
86 | 0-45-60 | 1-13/10-9/8 | island |
87 | 0-10-70 | 1-13/9-13/8 | utonal |
88 | 0-25-70 | 1-5/4-13/8 | otonal |
89 | 0-31-70 | 1-13/11-13/8 | utonal |
90 | 0-35-70 | 1-9/5-13/8 | marveltwin |
91 | 0-39-70 | 1-11/8-13/8 | otonal |
92 | 0-45-70 | 1-13/10-13/8 | utonal |
93 | 0-60-70 | 1-9/8-13/8 | otonal |
Tetrads
Number | Chord | Transversal | Type |
1 | 0-1-9-10 | 1-11/7-11/6-13/9 | gentle |
2 | 0-1-9-14 | 1-11/7-11/6-11/10 | utonal |
3 | 0-5-13-14 | 1-6/5-7/5-11/10 | otonal |
4 | 0-1-10-15 | 1-11/7-13/9-26/15 | gentle |
5 | 0-5-10-15 | 1-6/5-13/9-26/15 | marveltwin |
6 | 0-1-14-15 | 1-11/7-11/10-26/15 | gentle |
7 | 0-5-14-15 | 1-6/5-11/10-26/15 | gentle |
8 | 0-1-15-16 | 1-11/7-26/15-15/11 | island-gentle |
9 | 0-5-13-21 | 1-6/5-7/5-18/11 | swetismic |
10 | 0-8-13-21 | 1-7/6-7/5-18/11 | swetismic |
11 | 0-8-16-21 | 1-7/6-15/11-18/11 | swetismic |
12 | 0-1-9-22 | 1-11/7-11/6-9/7 | swetismic |
13 | 0-8-9-22 | 1-7/6-11/6-9/7 | swetismic |
14 | 0-8-13-22 | 1-7/6-7/5-9/7 | swetismic |
15 | 0-1-14-22 | 1-11/7-11/10-9/7 | swetismic |
16 | 0-9-14-22 | 1-11/6-11/10-9/7 | swetismic |
17 | 0-13-14-22 | 1-7/5-11/10-9/7 | swetismic |
18 | 0-8-21-22 | 1-7/6-18/11-9/7 | swetismic |
19 | 0-13-21-22 | 1-7/5-18/11-9/7 | swetismic |
20 | 0-9-10-25 | 1-11/6-13/9-5/4 | island-gentle |
21 | 0-10-15-25 | 1-13/9-26/15-5/4 | island |
22 | 0-15-16-25 | 1-26/15-15/11-5/4 | island-gentle |
23 | 0-8-9-30 | 1-7/6-11/6-3/2 | otonal |
24 | 0-5-14-30 | 1-6/5-11/10-3/2 | otonal |
25 | 0-9-14-30 | 1-11/6-11/10-3/2 | utonal |
26 | 0-5-15-30 | 1-6/5-26/15-3/2 | island |
27 | 0-14-15-30 | 1-11/10-26/15-3/2 | island-gentle |
28 | 0-8-16-30 | 1-7/6-15/11-3/2 | swetismic |
29 | 0-15-16-30 | 1-26/15-15/11-3/2 | island-gentle |
30 | 0-5-21-30 | 1-6/5-18/11-3/2 | utonal |
31 | 0-8-21-30 | 1-7/6-18/11-3/2 | swetismic |
32 | 0-16-21-30 | 1-15/11-18/11-3/2 | otonal |
33 | 0-8-22-30 | 1-7/6-9/7-3/2 | swetismic |
34 | 0-9-22-30 | 1-11/6-9/7-3/2 | swetismic |
35 | 0-14-22-30 | 1-11/10-9/7-3/2 | swetismic |
36 | 0-21-22-30 | 1-18/11-9/7-3/2 | utonal |
37 | 0-9-25-30 | 1-11/6-5/4-3/2 | otonal |
38 | 0-15-25-30 | 1-26/15-5/4-3/2 | island |
39 | 0-16-25-30 | 1-15/11-5/4-3/2 | utonal |
40 | 0-1-9-31 | 1-11/7-11/6-13/11 | gentle |
41 | 0-1-10-31 | 1-11/7-13/9-13/11 | gentle |
42 | 0-9-10-31 | 1-11/6-13/9-13/11 | gentle |
43 | 0-1-15-31 | 1-11/7-26/15-13/11 | gentle |
44 | 0-10-15-31 | 1-13/9-26/15-13/11 | utonal |
45 | 0-1-16-31 | 1-11/7-15/11-13/11 | island-gentle |
46 | 0-15-16-31 | 1-26/15-15/11-13/11 | nicolic |
47 | 0-16-21-31 | 1-15/11-18/11-13/11 | otonal |
48 | 0-1-22-31 | 1-11/7-9/7-13/11 | gentle |
49 | 0-9-22-31 | 1-11/6-9/7-13/11 | swetismic-gentle |
50 | 0-21-22-31 | 1-18/11-9/7-13/11 | gentle |
51 | 0-9-30-31 | 1-11/6-3/2-13/11 | gentle |
52 | 0-15-30-31 | 1-26/15-3/2-13/11 | island-gentle |
53 | 0-16-30-31 | 1-15/11-3/2-13/11 | gentle |
54 | 0-21-30-31 | 1-18/11-3/2-13/11 | gentle |
55 | 0-22-30-31 | 1-9/7-3/2-13/11 | gentle |
56 | 0-5-10-35 | 1-6/5-13/9-9/5 | marveltwin |
57 | 0-5-13-35 | 1-6/5-7/5-9/5 | otonal |
58 | 0-5-14-35 | 1-6/5-11/10-9/5 | otonal |
59 | 0-13-14-35 | 1-7/5-11/10-9/5 | otonal |
60 | 0-5-21-35 | 1-6/5-18/11-9/5 | utonal |
61 | 0-13-21-35 | 1-7/5-18/11-9/5 | swetismic |
62 | 0-13-22-35 | 1-7/5-9/7-9/5 | swetismic |
63 | 0-14-22-35 | 1-11/10-9/7-9/5 | swetismic |
64 | 0-21-22-35 | 1-18/11-9/7-9/5 | utonal |
65 | 0-10-25-35 | 1-13/9-5/4-9/5 | kleismic-marveltwin |
66 | 0-5-30-35 | 1-6/5-3/2-9/5 | ambitonal |
67 | 0-14-30-35 | 1-11/10-3/2-9/5 | otonal |
68 | 0-21-30-35 | 1-18/11-3/2-9/5 | utonal |
69 | 0-22-30-35 | 1-9/7-3/2-9/5 | utonal |
70 | 0-25-30-35 | 1-5/4-3/2-9/5 | marveltwin |
71 | 0-8-13-38 | 1-7/6-7/5-7/4 | utonal |
72 | 0-8-16-38 | 1-7/6-15/11-7/4 | swetismic |
73 | 0-8-22-38 | 1-7/6-9/7-7/4 | swetismic |
74 | 0-13-22-38 | 1-7/5-9/7-7/4 | swetismic |
75 | 0-16-25-38 | 1-15/11-5/4-7/4 | swetismic |
76 | 0-8-30-38 | 1-7/6-3/2-7/4 | ambitonal |
77 | 0-16-30-38 | 1-15/11-3/2-7/4 | swetismic |
78 | 0-22-30-38 | 1-9/7-3/2-7/4 | swetismic |
79 | 0-25-30-38 | 1-5/4-3/2-7/4 | otonal |
80 | 0-1-9-39 | 1-11/7-11/6-11/8 | utonal |
81 | 0-8-9-39 | 1-7/6-11/6-11/8 | gentle |
82 | 0-1-14-39 | 1-11/7-11/10-11/8 | utonal |
83 | 0-9-14-39 | 1-11/6-11/10-11/8 | utonal |
84 | 0-9-25-39 | 1-11/6-5/4-11/8 | otonal |
85 | 0-8-30-39 | 1-7/6-3/2-11/8 | gentle |
86 | 0-9-30-39 | 1-11/6-3/2-11/8 | ambitonal |
87 | 0-14-30-39 | 1-11/10-3/2-11/8 | utonal |
88 | 0-25-30-39 | 1-5/4-3/2-11/8 | otonal |
89 | 0-1-31-39 | 1-11/7-13/11-11/8 | gentle |
90 | 0-9-31-39 | 1-11/6-13/11-11/8 | gentle |
91 | 0-30-31-39 | 1-3/2-13/11-11/8 | gentle |
92 | 0-8-38-39 | 1-7/6-7/4-11/8 | gentle |
93 | 0-25-38-39 | 1-5/4-7/4-11/8 | otonal |
94 | 0-30-38-39 | 1-3/2-7/4-11/8 | otonal |
95 | 0-10-15-45 | 1-13/9-26/15-13/10 | utonal |
96 | 0-14-15-45 | 1-11/10-26/15-13/10 | gentle |
97 | 0-14-30-45 | 1-11/10-3/2-13/10 | otonal |
98 | 0-15-30-45 | 1-26/15-3/2-13/10 | island |
99 | 0-10-31-45 | 1-13/9-13/11-13/10 | utonal |
100 | 0-15-31-45 | 1-26/15-13/11-13/10 | utonal |
101 | 0-30-31-45 | 1-3/2-13/11-13/10 | gentle |
102 | 0-10-35-45 | 1-13/9-9/5-13/10 | marveltwin |
103 | 0-14-35-45 | 1-11/10-9/5-13/10 | otonal |
104 | 0-30-35-45 | 1-3/2-9/5-13/10 | otonal |
105 | 0-21-22-60 | 1-18/11-9/7-9/8 | utonal |
106 | 0-15-25-60 | 1-26/15-5/4-9/8 | island |
107 | 0-15-30-60 | 1-26/15-3/2-9/8 | island |
108 | 0-21-30-60 | 1-18/11-3/2-9/8 | utonal |
109 | 0-22-30-60 | 1-9/7-3/2-9/8 | utonal |
110 | 0-25-30-60 | 1-5/4-3/2-9/8 | otonal |
111 | 0-21-35-60 | 1-18/11-9/5-9/8 | utonal |
112 | 0-22-35-60 | 1-9/7-9/5-9/8 | utonal |
113 | 0-25-35-60 | 1-5/4-9/5-9/8 | marveltwin |
114 | 0-30-35-60 | 1-3/2-9/5-9/8 | utonal |
115 | 0-22-38-60 | 1-9/7-7/4-9/8 | swetismic |
116 | 0-25-38-60 | 1-5/4-7/4-9/8 | otonal |
117 | 0-30-38-60 | 1-3/2-7/4-9/8 | otonal |
118 | 0-25-39-60 | 1-5/4-11/8-9/8 | otonal |
119 | 0-30-39-60 | 1-3/2-11/8-9/8 | otonal |
120 | 0-38-39-60 | 1-7/4-11/8-9/8 | otonal |
121 | 0-15-45-60 | 1-26/15-13/10-9/8 | island |
122 | 0-30-45-60 | 1-3/2-13/10-9/8 | island |
123 | 0-35-45-60 | 1-9/5-13/10-9/8 | island |
124 | 0-10-25-70 | 1-13/9-5/4-13/8 | island |
125 | 0-10-31-70 | 1-13/9-13/11-13/8 | utonal |
126 | 0-10-35-70 | 1-13/9-9/5-13/8 | marveltwin |
127 | 0-25-35-70 | 1-5/4-9/5-13/8 | marveltwin |
128 | 0-25-39-70 | 1-5/4-11/8-13/8 | otonal |
129 | 0-31-39-70 | 1-13/11-11/8-13/8 | gentle |
130 | 0-10-45-70 | 1-13/9-13/10-13/8 | utonal |
131 | 0-31-45-70 | 1-13/11-13/10-13/8 | utonal |
132 | 0-35-45-70 | 1-9/5-13/10-13/8 | marveltwin |
133 | 0-25-60-70 | 1-5/4-9/8-13/8 | otonal |
134 | 0-35-60-70 | 1-9/5-9/8-13/8 | marveltwin |
135 | 0-39-60-70 | 1-11/8-9/8-13/8 | otonal |
136 | 0-45-60-70 | 1-13/10-9/8-13/8 | island |
Pentads
Number | Chord | Transversal | Type |
1 | 0-1-9-14-22 | 1-11/7-11/6-11/10-9/7 | swetismic |
2 | 0-8-13-21-22 | 1-7/6-7/5-18/11-9/7 | swetismic |
3 | 0-5-14-15-30 | 1-6/5-11/10-26/15-3/2 | island-gentle |
4 | 0-8-16-21-30 | 1-7/6-15/11-18/11-3/2 | swetismic |
5 | 0-8-9-22-30 | 1-7/6-11/6-9/7-3/2 | swetismic |
6 | 0-9-14-22-30 | 1-11/6-11/10-9/7-3/2 | swetismic |
7 | 0-8-21-22-30 | 1-7/6-18/11-9/7-3/2 | swetismic |
8 | 0-15-16-25-30 | 1-26/15-15/11-5/4-3/2 | island-gentle |
9 | 0-1-9-10-31 | 1-11/7-11/6-13/9-13/11 | gentle |
10 | 0-1-10-15-31 | 1-11/7-13/9-26/15-13/11 | gentle |
11 | 0-1-15-16-31 | 1-11/7-26/15-15/11-13/11 | island-gentle |
12 | 0-1-9-22-31 | 1-11/7-11/6-9/7-13/11 | swetismic-gentle |
13 | 0-15-16-30-31 | 1-26/15-15/11-3/2-13/11 | island-gentle |
14 | 0-16-21-30-31 | 1-15/11-18/11-3/2-13/11 | gentle |
15 | 0-9-22-30-31 | 1-11/6-9/7-3/2-13/11 | swetismic-gentle |
16 | 0-21-22-30-31 | 1-18/11-9/7-3/2-13/11 | gentle |
17 | 0-5-13-14-35 | 1-6/5-7/5-11/10-9/5 | otonal |
18 | 0-5-13-21-35 | 1-6/5-7/5-18/11-9/5 | swetismic |
19 | 0-13-14-22-35 | 1-7/5-11/10-9/7-9/5 | swetismic |
20 | 0-13-21-22-35 | 1-7/5-18/11-9/7-9/5 | swetismic |
21 | 0-5-14-30-35 | 1-6/5-11/10-3/2-9/5 | otonal |
22 | 0-5-21-30-35 | 1-6/5-18/11-3/2-9/5 | utonal |
23 | 0-14-22-30-35 | 1-11/10-9/7-3/2-9/5 | swetismic |
24 | 0-21-22-30-35 | 1-18/11-9/7-3/2-9/5 | utonal |
25 | 0-8-13-22-38 | 1-7/6-7/5-9/7-7/4 | swetismic |
26 | 0-8-16-30-38 | 1-7/6-15/11-3/2-7/4 | swetismic |
27 | 0-8-22-30-38 | 1-7/6-9/7-3/2-7/4 | swetismic |
28 | 0-16-25-30-38 | 1-15/11-5/4-3/2-7/4 | swetismic |
29 | 0-1-9-14-39 | 1-11/7-11/6-11/10-11/8 | utonal |
30 | 0-8-9-30-39 | 1-7/6-11/6-3/2-11/8 | gentle |
31 | 0-9-14-30-39 | 1-11/6-11/10-3/2-11/8 | utonal |
32 | 0-9-25-30-39 | 1-11/6-5/4-3/2-11/8 | otonal |
33 | 0-1-9-31-39 | 1-11/7-11/6-13/11-11/8 | gentle |
34 | 0-9-30-31-39 | 1-11/6-3/2-13/11-11/8 | gentle |
35 | 0-8-30-38-39 | 1-7/6-3/2-7/4-11/8 | gentle |
36 | 0-25-30-38-39 | 1-5/4-3/2-7/4-11/8 | otonal |
37 | 0-14-15-30-45 | 1-11/10-26/15-3/2-13/10 | island-gentle |
38 | 0-10-15-31-45 | 1-13/9-26/15-13/11-13/10 | utonal |
39 | 0-15-30-31-45 | 1-26/15-3/2-13/11-13/10 | island-gentle |
40 | 0-14-30-35-45 | 1-11/10-3/2-9/5-13/10 | otonal |
41 | 0-21-22-30-60 | 1-18/11-9/7-3/2-9/8 | utonal |
42 | 0-15-25-30-60 | 1-26/15-5/4-3/2-9/8 | island |
43 | 0-21-22-35-60 | 1-18/11-9/7-9/5-9/8 | utonal |
44 | 0-21-30-35-60 | 1-18/11-3/2-9/5-9/8 | utonal |
45 | 0-22-30-35-60 | 1-9/7-3/2-9/5-9/8 | utonal |
46 | 0-25-30-35-60 | 1-5/4-3/2-9/5-9/8 | marveltwin |
47 | 0-22-30-38-60 | 1-9/7-3/2-7/4-9/8 | swetismic |
48 | 0-25-30-38-60 | 1-5/4-3/2-7/4-9/8 | otonal |
49 | 0-25-30-39-60 | 1-5/4-3/2-11/8-9/8 | otonal |
50 | 0-25-38-39-60 | 1-5/4-7/4-11/8-9/8 | otonal |
51 | 0-30-38-39-60 | 1-3/2-7/4-11/8-9/8 | otonal |
52 | 0-15-30-45-60 | 1-26/15-3/2-13/10-9/8 | island |
53 | 0-30-35-45-60 | 1-3/2-9/5-13/10-9/8 | island |
54 | 0-10-25-35-70 | 1-13/9-5/4-9/5-13/8 | kleismic-marveltwin |
55 | 0-10-31-45-70 | 1-13/9-13/11-13/10-13/8 | utonal |
56 | 0-10-35-45-70 | 1-13/9-9/5-13/10-13/8 | marveltwin |
57 | 0-25-35-60-70 | 1-5/4-9/5-9/8-13/8 | marveltwin |
58 | 0-25-39-60-70 | 1-5/4-11/8-9/8-13/8 | otonal |
59 | 0-35-45-60-70 | 1-9/5-13/10-9/8-13/8 | kleismic-marveltwin |
Hexads
Number | Chord | Transversal | Type |
1 | 0-21-22-30-35-60 | 1-18/11-9/7-3/2-9/5-9/8 | utonal |
2 | 0-25-30-38-39-60 | 1-5/4-3/2-7/4-11/8-9/8 | otonal |