Hemififths/Chords: Difference between revisions
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Below are listed the [[dyadic chord]]s of 11-limit [[hemififths]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are [[Swetismic chords|swetismic]], by [[441/440]] [[Werckismic chords|werckismic]], by [[896/891]] [[Pentacircle chords|pentacircle]], by [[243/242]] [[Rastmic chords|rastmic]], and by [[1344/1331]] [[Hemimin chords|hemimin]]. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled [[Jove chords|jove]] | Below are listed the [[dyadic chord]]s of 11-limit [[hemififths]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are [[Swetismic chords|swetismic]], by [[441/440]] [[Werckismic chords|werckismic]], by [[896/891]] [[Pentacircle chords|pentacircle]], by [[243/242]] [[Rastmic chords|rastmic]], and by [[1344/1331]] [[Hemimin chords|hemimin]]. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled [[Jove chords|jove]]. Those requiring both 441/440 and 896/891 are labeled pele. Those requiring any two of 243/242, 896/891 or 1344/1331 are labeled parahemif. If the full hemififths is required because of the tempering out of three independent hemififths commas, the chord is labeled "hemififths". | ||
A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has MOS of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords. | A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has MOS of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords. | ||
| Line 368: | Line 368: | ||
| 0-3-4-8 | | 0-3-4-8 | ||
| 1-11/6-9/8-14/11 | | 1-11/6-9/8-14/11 | ||
| | | parahemif | ||
|- | |- | ||
| 12 | | 12 | ||
| Line 378: | Line 378: | ||
| 0-4-5-8 | | 0-4-5-8 | ||
| 1-9/8-11/8-14/11 | | 1-9/8-11/8-14/11 | ||
| | | parahemif | ||
|- | |- | ||
| 14 | | 14 | ||
| 0-1-4-9 | | 0-1-4-9 | ||
| 1-11/9-9/8-14/9 | | 1-11/9-9/8-14/9 | ||
| | | parahemif | ||
|- | |- | ||
| 15 | | 15 | ||
| Line 403: | Line 403: | ||
| 0-5-8-9 | | 0-5-8-9 | ||
| 1-11/8-14/11-14/9 | | 1-11/8-14/11-14/9 | ||
| | | parahemif | ||
|- | |- | ||
| 19 | | 19 | ||
| Line 827: | Line 827: | ||
| 0-3-4-5-8 | | 0-3-4-5-8 | ||
| 1-11/6-9/8-11/8-14/11 | | 1-11/6-9/8-11/8-14/11 | ||
| | | parahemif | ||
|- | |- | ||
| 7 | | 7 | ||
| 0-1-4-5-9 | | 0-1-4-5-9 | ||
| 1-11/9-9/8-11/8-14/9 | | 1-11/9-9/8-11/8-14/9 | ||
| | | parahemif | ||
|- | |- | ||
| 8 | | 8 | ||
| 0-4-5-8-9 | | 0-4-5-8-9 | ||
| 1-9/8-11/8-14/11-14/9 | | 1-9/8-11/8-14/11-14/9 | ||
| | | parahemif | ||
|- | |- | ||
| 9 | | 9 | ||
| Line 892: | Line 892: | ||
| 0-4-5-8-13 | | 0-4-5-8-13 | ||
| 1-9/8-11/8-14/11-7/4 | | 1-9/8-11/8-14/11-7/4 | ||
| | | parahemif | ||
|- | |- | ||
| 20 | | 20 | ||
| Line 917: | Line 917: | ||
| 0-5-8-9-13 | | 0-5-8-9-13 | ||
| 1-11/8-14/11-14/9-7/4 | | 1-11/8-14/11-14/9-7/4 | ||
| | | parahemif | ||
|- | |- | ||
| 25 | | 25 | ||
Revision as of 08:03, 27 August 2021
Below are listed the dyadic chords of 11-limit hemififths temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 441/440 werckismic, by 896/891 pentacircle, by 243/242 rastmic, and by 1344/1331 hemimin. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove. Those requiring both 441/440 and 896/891 are labeled pele. Those requiring any two of 243/242, 896/891 or 1344/1331 are labeled parahemif. If the full hemififths is required because of the tempering out of three independent hemififths commas, the chord is labeled "hemififths".
A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has MOS of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords.
Triads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0-1-2 | 1-11/9-3/2 | rastmic |
| 2 | 0-1-3 | 1-11/9-11/6 | utonal |
| 3 | 0-2-3 | 1-3/2-11/6 | otonal |
| 4 | 0-1-4 | 1-11/9-9/8 | rastmic |
| 5 | 0-2-4 | 1-3/2-9/8 | ambitonal |
| 6 | 0-3-4 | 1-11/6-9/8 | rastmic |
| 7 | 0-1-5 | 1-11/9-11/8 | utonal |
| 8 | 0-2-5 | 1-3/2-11/8 | otonal |
| 9 | 0-3-5 | 1-11/6-11/8 | utonal |
| 10 | 0-4-5 | 1-9/8-11/8 | otonal |
| 11 | 0-3-8 | 1-11/6-14/11 | hemimin |
| 12 | 0-4-8 | 1-9/8-14/11 | pentacircle |
| 13 | 0-5-8 | 1-11/8-14/11 | hemimin |
| 14 | 0-1-9 | 1-11/9-14/9 | otonal |
| 15 | 0-4-9 | 1-9/8-14/9 | pentacircle |
| 16 | 0-5-9 | 1-11/8-14/9 | pentacircle |
| 17 | 0-8-9 | 1-14/11-14/9 | utonal |
| 18 | 0-2-11 | 1-3/2-7/6 | otonal |
| 19 | 0-3-11 | 1-11/6-7/6 | otonal |
| 20 | 0-8-11 | 1-14/11-7/6 | utonal |
| 21 | 0-9-11 | 1-14/9-7/6 | utonal |
| 22 | 0-1-12 | 1-11/9-10/7 | swetismic |
| 23 | 0-3-12 | 1-11/6-10/7 | swetismic |
| 24 | 0-4-12 | 1-9/8-10/7 | werckismic |
| 25 | 0-8-12 | 1-14/11-10/7 | werckismic |
| 26 | 0-9-12 | 1-14/9-10/7 | swetismic |
| 27 | 0-11-12 | 1-7/6-10/7 | swetismic |
| 28 | 0-1-13 | 1-11/9-7/4 | werckismic |
| 29 | 0-2-13 | 1-3/2-7/4 | otonal |
| 30 | 0-4-13 | 1-9/8-7/4 | otonal |
| 31 | 0-5-13 | 1-11/8-7/4 | otonal |
| 32 | 0-8-13 | 1-14/11-7/4 | utonal |
| 33 | 0-9-13 | 1-14/9-7/4 | utonal |
| 34 | 0-11-13 | 1-7/6-7/4 | utonal |
| 35 | 0-12-13 | 1-10/7-7/4 | werckismic |
| 36 | 0-8-20 | 1-14/11-20/11 | otonal |
| 37 | 0-9-20 | 1-14/9-20/11 | swetismic |
| 38 | 0-11-20 | 1-7/6-20/11 | swetismic |
| 39 | 0-12-20 | 1-10/7-20/11 | utonal |
| 40 | 0-1-21 | 1-11/9-10/9 | otonal |
| 41 | 0-8-21 | 1-14/11-10/9 | werckismic |
| 42 | 0-9-21 | 1-14/9-10/9 | otonal |
| 43 | 0-12-21 | 1-10/7-10/9 | utonal |
| 44 | 0-13-21 | 1-7/4-10/9 | werckismic |
| 45 | 0-20-21 | 1-20/11-10/9 | utonal |
| 46 | 0-2-23 | 1-3/2-5/3 | otonal |
| 47 | 0-3-23 | 1-11/6-5/3 | otonal |
| 48 | 0-11-23 | 1-7/6-5/3 | otonal |
| 49 | 0-12-23 | 1-10/7-5/3 | utonal |
| 50 | 0-20-23 | 1-20/11-5/3 | utonal |
| 51 | 0-21-23 | 1-10/9-5/3 | utonal |
| 52 | 0-2-25 | 1-3/2-5/4 | otonal |
| 53 | 0-4-25 | 1-9/8-5/4 | otonal |
| 54 | 0-5-25 | 1-11/8-5/4 | otonal |
| 55 | 0-12-25 | 1-10/7-5/4 | utonal |
| 56 | 0-13-25 | 1-7/4-5/4 | otonal |
| 57 | 0-20-25 | 1-20/11-5/4 | utonal |
| 58 | 0-21-25 | 1-10/9-5/4 | utonal |
| 59 | 0-23-25 | 1-5/3-5/4 | utonal |
Tetrads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0-1-2-3 | 1-11/9-3/2-11/6 | rastmic |
| 2 | 0-1-2-4 | 1-11/9-3/2-9/8 | rastmic |
| 3 | 0-1-3-4 | 1-11/9-11/6-9/8 | rastmic |
| 4 | 0-2-3-4 | 1-3/2-11/6-9/8 | rastmic |
| 5 | 0-1-2-5 | 1-11/9-3/2-11/8 | rastmic |
| 6 | 0-1-3-5 | 1-11/9-11/6-11/8 | utonal |
| 7 | 0-2-3-5 | 1-3/2-11/6-11/8 | ambitonal |
| 8 | 0-1-4-5 | 1-11/9-9/8-11/8 | rastmic |
| 9 | 0-2-4-5 | 1-3/2-9/8-11/8 | otonal |
| 10 | 0-3-4-5 | 1-11/6-9/8-11/8 | rastmic |
| 11 | 0-3-4-8 | 1-11/6-9/8-14/11 | parahemif |
| 12 | 0-3-5-8 | 1-11/6-11/8-14/11 | hemimin |
| 13 | 0-4-5-8 | 1-9/8-11/8-14/11 | parahemif |
| 14 | 0-1-4-9 | 1-11/9-9/8-14/9 | parahemif |
| 15 | 0-1-5-9 | 1-11/9-11/8-14/9 | pentacircle |
| 16 | 0-4-5-9 | 1-9/8-11/8-14/9 | pentacircle |
| 17 | 0-4-8-9 | 1-9/8-14/11-14/9 | pentacircle |
| 18 | 0-5-8-9 | 1-11/8-14/11-14/9 | parahemif |
| 19 | 0-2-3-11 | 1-3/2-11/6-7/6 | otonal |
| 20 | 0-3-8-11 | 1-11/6-14/11-7/6 | hemimin |
| 21 | 0-8-9-11 | 1-14/11-14/9-7/6 | utonal |
| 22 | 0-1-3-12 | 1-11/9-11/6-10/7 | swetismic |
| 23 | 0-1-4-12 | 1-11/9-9/8-10/7 | jove |
| 24 | 0-3-4-12 | 1-11/6-9/8-10/7 | jove |
| 25 | 0-3-8-12 | 1-11/6-14/11-10/7 | hemififths |
| 26 | 0-4-8-12 | 1-9/8-14/11-10/7 | pele |
| 27 | 0-1-9-12 | 1-11/9-14/9-10/7 | swetismic |
| 28 | 0-4-9-12 | 1-9/8-14/9-10/7 | hemififths |
| 29 | 0-8-9-12 | 1-14/11-14/9-10/7 | jove |
| 30 | 0-3-11-12 | 1-11/6-7/6-10/7 | swetismic |
| 31 | 0-8-11-12 | 1-14/11-7/6-10/7 | jove |
| 32 | 0-9-11-12 | 1-14/9-7/6-10/7 | swetismic |
| 33 | 0-1-2-13 | 1-11/9-3/2-7/4 | jove |
| 34 | 0-1-4-13 | 1-11/9-9/8-7/4 | jove |
| 35 | 0-2-4-13 | 1-3/2-9/8-7/4 | otonal |
| 36 | 0-1-5-13 | 1-11/9-11/8-7/4 | werckismic |
| 37 | 0-2-5-13 | 1-3/2-11/8-7/4 | otonal |
| 38 | 0-4-5-13 | 1-9/8-11/8-7/4 | otonal |
| 39 | 0-4-8-13 | 1-9/8-14/11-7/4 | pentacircle |
| 40 | 0-5-8-13 | 1-11/8-14/11-7/4 | hemimin |
| 41 | 0-1-9-13 | 1-11/9-14/9-7/4 | werckismic |
| 42 | 0-4-9-13 | 1-9/8-14/9-7/4 | pentacircle |
| 43 | 0-5-9-13 | 1-11/8-14/9-7/4 | pentacircle |
| 44 | 0-8-9-13 | 1-14/11-14/9-7/4 | utonal |
| 45 | 0-2-11-13 | 1-3/2-7/6-7/4 | ambitonal |
| 46 | 0-8-11-13 | 1-14/11-7/6-7/4 | utonal |
| 47 | 0-9-11-13 | 1-14/9-7/6-7/4 | utonal |
| 48 | 0-1-12-13 | 1-11/9-10/7-7/4 | jove |
| 49 | 0-4-12-13 | 1-9/8-10/7-7/4 | werckismic |
| 50 | 0-8-12-13 | 1-14/11-10/7-7/4 | werckismic |
| 51 | 0-9-12-13 | 1-14/9-10/7-7/4 | jove |
| 52 | 0-11-12-13 | 1-7/6-10/7-7/4 | jove |
| 53 | 0-8-9-20 | 1-14/11-14/9-20/11 | swetismic |
| 54 | 0-8-11-20 | 1-14/11-7/6-20/11 | swetismic |
| 55 | 0-9-11-20 | 1-14/9-7/6-20/11 | swetismic |
| 56 | 0-8-12-20 | 1-14/11-10/7-20/11 | werckismic |
| 57 | 0-9-12-20 | 1-14/9-10/7-20/11 | swetismic |
| 58 | 0-11-12-20 | 1-7/6-10/7-20/11 | swetismic |
| 59 | 0-1-9-21 | 1-11/9-14/9-10/9 | otonal |
| 60 | 0-8-9-21 | 1-14/11-14/9-10/9 | werckismic |
| 61 | 0-1-12-21 | 1-11/9-10/7-10/9 | swetismic |
| 62 | 0-8-12-21 | 1-14/11-10/7-10/9 | werckismic |
| 63 | 0-9-12-21 | 1-14/9-10/7-10/9 | swetismic |
| 64 | 0-1-13-21 | 1-11/9-7/4-10/9 | werckismic |
| 65 | 0-8-13-21 | 1-14/11-7/4-10/9 | werckismic |
| 66 | 0-9-13-21 | 1-14/9-7/4-10/9 | werckismic |
| 67 | 0-12-13-21 | 1-10/7-7/4-10/9 | werckismic |
| 68 | 0-8-20-21 | 1-14/11-20/11-10/9 | werckismic |
| 69 | 0-9-20-21 | 1-14/9-20/11-10/9 | swetismic |
| 70 | 0-12-20-21 | 1-10/7-20/11-10/9 | utonal |
| 71 | 0-2-3-23 | 1-3/2-11/6-5/3 | otonal |
| 72 | 0-2-11-23 | 1-3/2-7/6-5/3 | otonal |
| 73 | 0-3-11-23 | 1-11/6-7/6-5/3 | otonal |
| 74 | 0-3-12-23 | 1-11/6-10/7-5/3 | swetismic |
| 75 | 0-11-12-23 | 1-7/6-10/7-5/3 | swetismic |
| 76 | 0-11-20-23 | 1-7/6-20/11-5/3 | swetismic |
| 77 | 0-12-20-23 | 1-10/7-20/11-5/3 | utonal |
| 78 | 0-12-21-23 | 1-10/7-10/9-5/3 | utonal |
| 79 | 0-20-21-23 | 1-20/11-10/9-5/3 | utonal |
| 80 | 0-2-4-25 | 1-3/2-9/8-5/4 | otonal |
| 81 | 0-2-5-25 | 1-3/2-11/8-5/4 | otonal |
| 82 | 0-4-5-25 | 1-9/8-11/8-5/4 | otonal |
| 83 | 0-4-12-25 | 1-9/8-10/7-5/4 | werckismic |
| 84 | 0-2-13-25 | 1-3/2-7/4-5/4 | otonal |
| 85 | 0-4-13-25 | 1-9/8-7/4-5/4 | otonal |
| 86 | 0-5-13-25 | 1-11/8-7/4-5/4 | otonal |
| 87 | 0-12-13-25 | 1-10/7-7/4-5/4 | werckismic |
| 88 | 0-12-20-25 | 1-10/7-20/11-5/4 | utonal |
| 89 | 0-12-21-25 | 1-10/7-10/9-5/4 | utonal |
| 90 | 0-13-21-25 | 1-7/4-10/9-5/4 | werckismic |
| 91 | 0-20-21-25 | 1-20/11-10/9-5/4 | utonal |
| 92 | 0-2-23-25 | 1-3/2-5/3-5/4 | ambitonal |
| 93 | 0-12-23-25 | 1-10/7-5/3-5/4 | utonal |
| 94 | 0-20-23-25 | 1-20/11-5/3-5/4 | utonal |
| 95 | 0-21-23-25 | 1-10/9-5/3-5/4 | utonal |
Pentads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0-1-2-3-4 | 1-11/9-3/2-11/6-9/8 | rastmic |
| 2 | 0-1-2-3-5 | 1-11/9-3/2-11/6-11/8 | rastmic |
| 3 | 0-1-2-4-5 | 1-11/9-3/2-9/8-11/8 | rastmic |
| 4 | 0-1-3-4-5 | 1-11/9-11/6-9/8-11/8 | rastmic |
| 5 | 0-2-3-4-5 | 1-3/2-11/6-9/8-11/8 | rastmic |
| 6 | 0-3-4-5-8 | 1-11/6-9/8-11/8-14/11 | parahemif |
| 7 | 0-1-4-5-9 | 1-11/9-9/8-11/8-14/9 | parahemif |
| 8 | 0-4-5-8-9 | 1-9/8-11/8-14/11-14/9 | parahemif |
| 9 | 0-1-3-4-12 | 1-11/9-11/6-9/8-10/7 | jove |
| 10 | 0-3-4-8-12 | 1-11/6-9/8-14/11-10/7 | hemififths |
| 11 | 0-1-4-9-12 | 1-11/9-9/8-14/9-10/7 | hemififths |
| 12 | 0-4-8-9-12 | 1-9/8-14/11-14/9-10/7 | hemififths |
| 13 | 0-3-8-11-12 | 1-11/6-14/11-7/6-10/7 | hemififths |
| 14 | 0-8-9-11-12 | 1-14/11-14/9-7/6-10/7 | jove |
| 15 | 0-1-2-4-13 | 1-11/9-3/2-9/8-7/4 | jove |
| 16 | 0-1-2-5-13 | 1-11/9-3/2-11/8-7/4 | jove |
| 17 | 0-1-4-5-13 | 1-11/9-9/8-11/8-7/4 | jove |
| 18 | 0-2-4-5-13 | 1-3/2-9/8-11/8-7/4 | otonal |
| 19 | 0-4-5-8-13 | 1-9/8-11/8-14/11-7/4 | parahemif |
| 20 | 0-1-4-9-13 | 1-11/9-9/8-14/9-7/4 | hemififths |
| 21 | 0-1-5-9-13 | 1-11/9-11/8-14/9-7/4 | pele |
| 22 | 0-4-5-9-13 | 1-9/8-11/8-14/9-7/4 | pentacircle |
| 23 | 0-4-8-9-13 | 1-9/8-14/11-14/9-7/4 | pentacircle |
| 24 | 0-5-8-9-13 | 1-11/8-14/11-14/9-7/4 | parahemif |
| 25 | 0-8-9-11-13 | 1-14/11-14/9-7/6-7/4 | utonal |
| 26 | 0-1-4-12-13 | 1-11/9-9/8-10/7-7/4 | jove |
| 27 | 0-4-8-12-13 | 1-9/8-14/11-10/7-7/4 | pele |
| 28 | 0-1-9-12-13 | 1-11/9-14/9-10/7-7/4 | jove |
| 29 | 0-4-9-12-13 | 1-9/8-14/9-10/7-7/4 | hemififths |
| 30 | 0-8-9-12-13 | 1-14/11-14/9-10/7-7/4 | jove |
| 31 | 0-8-11-12-13 | 1-14/11-7/6-10/7-7/4 | jove |
| 32 | 0-9-11-12-13 | 1-14/9-7/6-10/7-7/4 | jove |
| 33 | 0-8-9-11-20 | 1-14/11-14/9-7/6-20/11 | swetismic |
| 34 | 0-8-9-12-20 | 1-14/11-14/9-10/7-20/11 | jove |
| 35 | 0-8-11-12-20 | 1-14/11-7/6-10/7-20/11 | jove |
| 36 | 0-9-11-12-20 | 1-14/9-7/6-10/7-20/11 | swetismic |
| 37 | 0-1-9-12-21 | 1-11/9-14/9-10/7-10/9 | swetismic |
| 38 | 0-8-9-12-21 | 1-14/11-14/9-10/7-10/9 | jove |
| 39 | 0-1-9-13-21 | 1-11/9-14/9-7/4-10/9 | werckismic |
| 40 | 0-8-9-13-21 | 1-14/11-14/9-7/4-10/9 | werckismic |
| 41 | 0-1-12-13-21 | 1-11/9-10/7-7/4-10/9 | jove |
| 42 | 0-8-12-13-21 | 1-14/11-10/7-7/4-10/9 | werckismic |
| 43 | 0-9-12-13-21 | 1-14/9-10/7-7/4-10/9 | jove |
| 44 | 0-8-9-20-21 | 1-14/11-14/9-20/11-10/9 | jove |
| 45 | 0-8-12-20-21 | 1-14/11-10/7-20/11-10/9 | werckismic |
| 46 | 0-9-12-20-21 | 1-14/9-10/7-20/11-10/9 | swetismic |
| 47 | 0-2-3-11-23 | 1-3/2-11/6-7/6-5/3 | otonal |
| 48 | 0-3-11-12-23 | 1-11/6-7/6-10/7-5/3 | swetismic |
| 49 | 0-11-12-20-23 | 1-7/6-10/7-20/11-5/3 | swetismic |
| 50 | 0-12-20-21-23 | 1-10/7-20/11-10/9-5/3 | utonal |
| 51 | 0-2-4-5-25 | 1-3/2-9/8-11/8-5/4 | otonal |
| 52 | 0-2-4-13-25 | 1-3/2-9/8-7/4-5/4 | otonal |
| 53 | 0-2-5-13-25 | 1-3/2-11/8-7/4-5/4 | otonal |
| 54 | 0-4-5-13-25 | 1-9/8-11/8-7/4-5/4 | otonal |
| 55 | 0-4-12-13-25 | 1-9/8-10/7-7/4-5/4 | werckismic |
| 56 | 0-12-13-21-25 | 1-10/7-7/4-10/9-5/4 | werckismic |
| 57 | 0-12-20-21-25 | 1-10/7-20/11-10/9-5/4 | utonal |
| 58 | 0-12-20-23-25 | 1-10/7-20/11-5/3-5/4 | utonal |
| 59 | 0-12-21-23-25 | 1-10/7-10/9-5/3-5/4 | utonal |
| 60 | 0-20-21-23-25 | 1-20/11-10/9-5/3-5/4 | utonal |
Hexads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0-1-2-3-4-5 | 1-11/9-3/2-11/6-9/8-11/8 | rastmic |
| 2 | 0-1-2-4-5-13 | 1-11/9-3/2-9/8-11/8-7/4 | jove |
| 3 | 0-1-4-5-9-13 | 1-11/9-9/8-11/8-14/9-7/4 | hemififths |
| 4 | 0-4-5-8-9-13 | 1-9/8-11/8-14/11-14/9-7/4 | nofives |
| 5 | 0-1-4-9-12-13 | 1-11/9-9/8-14/9-10/7-7/4 | hemififths |
| 6 | 0-4-8-9-12-13 | 1-9/8-14/11-14/9-10/7-7/4 | hemififths |
| 7 | 0-8-9-11-12-13 | 1-14/11-14/9-7/6-10/7-7/4 | jove |
| 8 | 0-8-9-11-12-20 | 1-14/11-14/9-7/6-10/7-20/11 | jove |
| 9 | 0-1-9-12-13-21 | 1-11/9-14/9-10/7-7/4-10/9 | jove |
| 10 | 0-8-9-12-13-21 | 1-14/11-14/9-10/7-7/4-10/9 | jove |
| 11 | 0-8-9-12-20-21 | 1-14/11-14/9-10/7-20/11-10/9 | jove |
| 12 | 0-2-4-5-13-25 | 1-3/2-9/8-11/8-7/4-5/4 | otonal |
| 13 | 0-12-20-21-23-25 | 1-10/7-20/11-10/9-5/3-5/4 | utonal |