38edo: Difference between revisions

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VisualWikitext
this was long overdue tbh
m →Intervals: formatting
Line 19: Line 19:
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
|-
|-
! Step
! rowspan="2" | Step
! Cents
! rowspan="2" | Cents
!19-odd-limit ratios, patent val
! colspan="2" | Approximated ratios
! rowspan="2" colspan="3" | [[Ups and downs notation]]*<br>([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and vvd2)
|-
! 19-odd-limit ratios, patent val
! 19-odd-limit ratios,<br>in 38df val
! 19-odd-limit ratios,<br>in 38df val
! colspan="3" | [[Ups and downs notation]]*
([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and vvd2)
|-
|-
| 0
| 0
| 0.0
| 0.0
|[[1/1]]
| [[1/1]]
| [[1/1]]
| [[1/1]]
| Perfect 1sn
| Perfect 1sn
Line 52: Line 53:
| 3
| 3
| 94.7
| 94.7
|20/19, 19/18, 18/17, 17/16
| 20/19, 19/18, 18/17, 17/16
| [[20/19]], [[19/18]], [[18/17]], [[17/16]]
| [[20/19]], [[19/18]], [[18/17]], [[17/16]]
| Upaug 1sn, downminor 2nd
| Upaug 1sn, downminor 2nd
Line 60: Line 61:
| 4
| 4
| 126.3
| 126.3
|16/15, 15/14, 14/13
| 16/15, 15/14, 14/13
| [[16/15]], [[15/14]], [[14/13]], [[13/12]]
| [[16/15]], [[15/14]], [[14/13]], [[13/12]]
| Minor 2nd
| Minor 2nd
Line 68: Line 69:
| 5
| 5
| 157.9
| 157.9
|13/12, 12/11, 11/10
| 13/12, 12/11, 11/10
| [[12/11]], [[11/10]]
| [[12/11]], [[11/10]]
| Mid 2nd
| Mid 2nd
Line 76: Line 77:
| 6
| 6
| 189.5
| 189.5
|10/9, 19/17, 9/8
| 10/9, 19/17, 9/8
| [[10/9]], [[19/17]], [[9/8]]
| [[10/9]], [[19/17]], [[9/8]]
| Major 2nd
| Major 2nd
Line 84: Line 85:
| 7
| 7
| 221.1
| 221.1
|17/15, 8/7, 15/13
| 17/15, 8/7, 15/13
| [[17/15]]
| [[17/15]]
| Upmajor 2nd
| Upmajor 2nd
Line 92: Line 93:
| 8
| 8
| 252.6
| 252.6
|22/19
| 22/19
| [[8/7]], [[15/13]], [[22/19]], [[7/6]]
| [[8/7]], [[15/13]], [[22/19]], [[7/6]]
| Aug 2nd, Dim 3rd
| Aug 2nd, Dim 3rd
Line 100: Line 101:
| 9
| 9
| 284.2
| 284.2
|7/6, 20/17,  19/16
| 7/6, 20/17,  19/16
| [[20/17]], [[13/11]], [[19/16]]
| [[20/17]], [[13/11]], [[19/16]]
| Downminor 3rd
| Downminor 3rd
Line 108: Line 109:
| 10
| 10
| 315.8
| 315.8
|13/11, 6/5, 17/14
| 13/11, 6/5, 17/14
| [[6/5]]
| [[6/5]]
| Minor 3rd
| Minor 3rd
Line 116: Line 117:
| 11
| 11
| 347.4
| 347.4
|16/13, 11/9
| 16/13, 11/9
| [[17/14]], [[11/9]]
| [[17/14]], [[11/9]]
| Mid 3rd
| Mid 3rd
Line 124: Line 125:
| 12
| 12
| 378.9
| 378.9
|5/4
| 5/4
| [[16/13]], [[5/4]]
| [[16/13]], [[5/4]]
| Major 3rd
| Major 3rd
Line 132: Line 133:
| 13
| 13
| 410.5
| 410.5
|9/7, 24/19, 19/15
| 9/7, 24/19, 19/15
| [[24/19]], [[19/15]], [[14/11]]
| [[24/19]], [[19/15]], [[14/11]]
| Upmajor 3rd, Downdim 4th
| Upmajor 3rd, Downdim 4th
Line 140: Line 141:
| 14
| 14
| 442.1
| 442.1
|14/11, 22/17, 17/13
| 14/11, 22/17, 17/13
| [[9/7]], [[22/17]], [[13/10]]
| [[9/7]], [[22/17]], [[13/10]]
| Aug 3rd, dim 4th
| Aug 3rd, dim 4th
Line 148: Line 149:
| 15
| 15
| 473.7
| 473.7
|13/10
| 13/10
| [[17/13]]
| [[17/13]]
| Down 4th
| Down 4th
Line 156: Line 157:
| 16
| 16
| 505.3
| 505.3
|4/3, 19/14
| 4/3, 19/14
| [[4/3]]
| [[4/3]]
| Perfect 4th
| Perfect 4th
Line 164: Line 165:
| 17
| 17
| 536.8
| 536.8
|15/11, 11/8, 18/13
| 15/11, 11/8, 18/13
| [[19/14]], [[15/11]], [[26/19]], [[11/8]]
| [[19/14]], [[15/11]], [[26/19]], [[11/8]]
| Up 4th
| Up 4th
Line 172: Line 173:
| 18
| 18
| 568.4
| 568.4
|26/19
| 26/19
| [[18/13]], [[7/5]]
| [[18/13]], [[7/5]]
| Aug 4th
| Aug 4th
Line 180: Line 181:
| 19
| 19
| 600.0
| 600.0
|7/5, 24/17, 17/12, 10/7
| 7/5, 24/17, 17/12, 10/7
| [[24/17]], [[17/12]]
| [[24/17]], [[17/12]]
| Upaug 4th, downdim 5th
| Upaug 4th, downdim 5th
Line 188: Line 189:
| 20
| 20
| 631.6
| 631.6
|19/13
| 19/13
| [[10/7]], [[13/9]]
| [[10/7]], [[13/9]]
| Dim 5th
| Dim 5th
Line 196: Line 197:
| 21
| 21
| 663.2
| 663.2
|16/11, 22/15, 13/9
| 16/11, 22/15, 13/9
| [[16/11]], [[19/13]], [[22/15]], [[28/19]]
| [[16/11]], [[19/13]], [[22/15]], [[28/19]]
| Down 5th
| Down 5th
Line 204: Line 205:
| 22
| 22
| 694.7
| 694.7
|3/2, 28/19
| 3/2, 28/19
| [[3/2]]
| [[3/2]]
| Perfect 5th
| Perfect 5th
Line 212: Line 213:
| 23
| 23
| 726.3
| 726.3
|20/13
| 20/13
| [[26/17]]
| [[26/17]]
| Up 5th
| Up 5th
Line 220: Line 221:
| 24
| 24
| 757.9
| 757.9
|17/11, 11/7, 26/17
| 17/11, 11/7, 26/17
| [[20/13]], [[17/11]], [[14/9]]
| [[20/13]], [[17/11]], [[14/9]]
| Aug 5th, dim 6th
| Aug 5th, dim 6th
Line 228: Line 229:
| 25
| 25
| 789.5
| 789.5
|14/9, 19/12, 30/19
| 14/9, 19/12, 30/19
| [[11/7]], [[30/19]], [[19/12]]
| [[11/7]], [[30/19]], [[19/12]]
| Upaug 5th, downminor 6th
| Upaug 5th, downminor 6th
Line 236: Line 237:
| 26
| 26
| 821.1
| 821.1
|8/5
| 8/5
| [[8/5]], [[13/8]]
| [[8/5]], [[13/8]]
| Minor 6th
| Minor 6th
Line 244: Line 245:
| 27
| 27
| 852.6
| 852.6
|18/11, 13/8
| 18/11, 13/8
| [[18/11]], [[28/17]]
| [[18/11]], [[28/17]]
| Mid 6th
| Mid 6th
Line 252: Line 253:
| 28
| 28
| 884.2
| 884.2
|22/13, 5/3, 28/17
| 22/13, 5/3, 28/17
| [[5/3]]
| [[5/3]]
| Major 6th
| Major 6th
Line 260: Line 261:
| 29
| 29
| 915.8
| 915.8
|32/19, 17/10, 12/7
| 32/19, 17/10, 12/7
| [[32/19]], [[22/13]], [[17/10]]
| [[32/19]], [[22/13]], [[17/10]]
| Upmajor 6th
| Upmajor 6th
Line 268: Line 269:
| 30
| 30
| 947.4
| 947.4
|19/11
| 19/11
| [[12/7]], [[19/11]], [[26/15]], [[7/4]]
| [[12/7]], [[19/11]], [[26/15]], [[7/4]]
| Aug 6th, dim 7th
| Aug 6th, dim 7th
Line 276: Line 277:
| 31
| 31
| 978.9
| 978.9
|30/17, 7/4, 26/15
| 30/17, 7/4, 26/15
| [[30/17]]
| [[30/17]]
| Downminor 7th
| Downminor 7th
Line 284: Line 285:
| 32
| 32
| 1010.5
| 1010.5
|9/5, 16/9, 34/19
| 9/5, 16/9, 34/19
| [[16/9]], [[34/19]], [[9/5]]
| [[16/9]], [[34/19]], [[9/5]]
| Minor 7th
| Minor 7th
Line 292: Line 293:
| 33
| 33
| 1042.1
| 1042.1
|11/6, 20/11, 24/13
| 11/6, 20/11, 24/13
| [[20/11]], [[11/6]]
| [[20/11]], [[11/6]]
| Mid 7th
| Mid 7th
Line 300: Line 301:
| 34
| 34
| 1073.7
| 1073.7
|13/7, 15/8, 28/25
| 13/7, 15/8, 28/25
| [[24/13]], [[13/7]], [[28/15]], [[15/8]]
| [[24/13]], [[13/7]], [[28/15]], [[15/8]]
| Major 7th
| Major 7th
Line 308: Line 309:
| 35
| 35
| 1105.3
| 1105.3
|32/17, 17/9, 36/19, 19/10
| 32/17, 17/9, 36/19, 19/10
| [[32/17]], [[17/9]], [[36/19]], [[19/10]]
| [[32/17]], [[17/9]], [[36/19]], [[19/10]]
| Upmajor 7th, Downdim 8ve
| Upmajor 7th, Downdim 8ve
Line 332: Line 333:
| 38
| 38
| 1200.0
| 1200.0
|[[2/1]]
| [[2/1]]
| [[2/1]]
| [[2/1]]
| Perfect 8ve
| Perfect 8ve

Revision as of 07:06, 16 May 2026

← 37edo 38edo 39edo →
Prime factorization 2 × 19
Step size 31.5789 ¢ 
Fifth 22\38 (694.737 ¢) (→ 11\19)
Semitones (A1:m2) 2:4 (63.16 ¢ : 126.3 ¢)
Consistency limit 5
Distinct consistency limit 5

38 equal divisions of the octave (abbreviated 38edo or 38ed2), also called 38-tone equal temperament (38tet) or 38 equal temperament (38et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 38 equal parts of about 31.6 ¢ each. Each step represents a frequency ratio of 21/38, or the 38th root of 2.

Theory

Since 38 = 2 × 19, it can be thought of as two parallel 19edos. While the halving of the step size lowers consistency and leaves it only mediocre in terms of overall relative error, the fact that the 3rd and 5th harmonics are flat by almost exactly the same amount, while the 11th is double that means there are quite a few near perfect composite ratios, such as the the 6/5 it shares with 19edo, plus 11/9, 15/11 & 25/22, (and their inversions) while a single step nears 55/54; the approximation to 11/9 in particular should be noted for forming a 10-strong consistent circle. This gives several interesting possibilities for unusual near-just chords such as 15:18:22:25:30.

It tempers out the same 5-limit commas as 19edo, namely 81/80, 3125/3072 and 15625/15552. In the 7-limit, we can add 50/49, and tempering out 81/80 and 50/49 gives injera temperament, for which 38 is the optimal patent val. In the 11-limit, we can add 121/120 and 176/175.

Using the 38df mapping, every prime interval from 3 to 19 is characterized by a flat intonation. Furthermore, the mapping of all 19-odd-limit intervals in 38df aligns with their closest approximations in 38edo, excepting for 7/4 and 13/8, along with their octave complements 8/7 and 16/13, which are by definition mapped to their secondary optimal steps within 38df. In other words, all 19-odd-limit intervals are consistent within the 38df val ⟨38 60 88 106 131 140 155 161].

The harmonic series from 1 to 20 is approximated within 38df by the sequence: 38 22 16 12 10 8 8 6 6 5 5 4 4 4 4 3 3 3 3

[Harmonic series 2-20 in 38df]

Prime harmonics

Approximation of prime harmonics in 38edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0 -7.2 -7.4 +10.1 -14.5 +12.1 -10.2 -13.3 +3.3 +12.5 -8.2
Relative (%) +0.0 -22.9 -23.3 +32.1 -45.8 +38.3 -32.4 -42.1 +10.5 +39.7 -25.9
Steps
(reduced) 		38
(0) 		60
(22) 		88
(12) 		107
(31) 		131
(17) 		141
(27) 		155
(3) 		161
(9) 		172
(20) 		185
(33) 		188
(36)

Intervals

Step Cents Approximated ratios Ups and downs notation*
(EUs: vvA1 and vvd2)
19-odd-limit ratios, patent val 19-odd-limit ratios,
in 38df val
0 0.0 1/1 1/1 Perfect 1sn P1 D
1 31.6 Up 1sn ^1 ^D
2 63.2 Aug 1sn, dim 2nd A1, d2 D#
3 94.7 20/19, 19/18, 18/17, 17/16 20/19, 19/18, 18/17, 17/16 Upaug 1sn, downminor 2nd ^A1, vm2 ^D#, vEb
4 126.3 16/15, 15/14, 14/13 16/15, 15/14, 14/13, 13/12 Minor 2nd m2 Eb
5 157.9 13/12, 12/11, 11/10 12/11, 11/10 Mid 2nd ~2 vE
6 189.5 10/9, 19/17, 9/8 10/9, 19/17, 9/8 Major 2nd M2 E
7 221.1 17/15, 8/7, 15/13 17/15 Upmajor 2nd ^M2 ^E
8 252.6 22/19 8/7, 15/13, 22/19, 7/6 Aug 2nd, Dim 3rd A2, d3 E#, Fb
9 284.2 7/6, 20/17, 19/16 20/17, 13/11, 19/16 Downminor 3rd vm3 vF
10 315.8 13/11, 6/5, 17/14 6/5 Minor 3rd m3 F
11 347.4 16/13, 11/9 17/14, 11/9 Mid 3rd ~3 ^F
12 378.9 5/4 16/13, 5/4 Major 3rd M3 F#
13 410.5 9/7, 24/19, 19/15 24/19, 19/15, 14/11 Upmajor 3rd, Downdim 4th ^M3, vd4 ^F#, vGb
14 442.1 14/11, 22/17, 17/13 9/7, 22/17, 13/10 Aug 3rd, dim 4th A3, d4 Gb
15 473.7 13/10 17/13 Down 4th v4 vG
16 505.3 4/3, 19/14 4/3 Perfect 4th P4 G
17 536.8 15/11, 11/8, 18/13 19/14, 15/11, 26/19, 11/8 Up 4th ^4 ^G
18 568.4 26/19 18/13, 7/5 Aug 4th A4 G#
19 600.0 7/5, 24/17, 17/12, 10/7 24/17, 17/12 Upaug 4th, downdim 5th ^A4, vd5 ^G#, vAb
20 631.6 19/13 10/7, 13/9 Dim 5th d5 Ab
21 663.2 16/11, 22/15, 13/9 16/11, 19/13, 22/15, 28/19 Down 5th v5 vA
22 694.7 3/2, 28/19 3/2 Perfect 5th P5 A
23 726.3 20/13 26/17 Up 5th ^5 ^A
24 757.9 17/11, 11/7, 26/17 20/13, 17/11, 14/9 Aug 5th, dim 6th A5, d6 A#
25 789.5 14/9, 19/12, 30/19 11/7, 30/19, 19/12 Upaug 5th, downminor 6th ^A5, vm6 ^A#, vBb
26 821.1 8/5 8/5, 13/8 Minor 6th m6 Bb
27 852.6 18/11, 13/8 18/11, 28/17 Mid 6th ~6 vB
28 884.2 22/13, 5/3, 28/17 5/3 Major 6th M6 B
29 915.8 32/19, 17/10, 12/7 32/19, 22/13, 17/10 Upmajor 6th ^M6 ^B
30 947.4 19/11 12/7, 19/11, 26/15, 7/4 Aug 6th, dim 7th A6, d7 B#, Cb
31 978.9 30/17, 7/4, 26/15 30/17 Downminor 7th vm7 vC
32 1010.5 9/5, 16/9, 34/19 16/9, 34/19, 9/5 Minor 7th m7 C
33 1042.1 11/6, 20/11, 24/13 20/11, 11/6 Mid 7th ~7 ^C
34 1073.7 13/7, 15/8, 28/25 24/13, 13/7, 28/15, 15/8 Major 7th M7 C#
35 1105.3 32/17, 17/9, 36/19, 19/10 32/17, 17/9, 36/19, 19/10 Upmajor 7th, Downdim 8ve ^M7, vd8 ^C#, vDb
36 1136.8 Aug 7th, dim 8ve A7, d8 Db
37 1168.4 Down 8ve v8 vD
38 1200.0 2/1 2/1 Perfect 8ve P8 D

* Ups and downs may be substituted with semi-sharps and semi-flats, respectively

Notation

Ups and downs notation

Spoken as up, sharp, upsharp, etc. Note that up can be respelled as downsharp.

Step offset 0 1 2 3 4 5
Sharp symbol   
 
  
   
  
   
Flat symbol
 
  
   
  
   

Quarter-tone notation

Since a sharp raises by two steps, quarter-tone accidentals can also be used:

Step offset −4 −3 −2 −1 0 +1 +2 +3 +4
Symbol  
 		 
 		 
 		 
 		 
 		 
 		 
 		 
 		 

Sagittal notation

This notation uses the same sagittal sequence as EDOs 17, 24, and 31, is a subset of the notation for 76-EDO, and is a superset of the notation for 19-EDO.

Evo flavor

Sagittal notationPeriodic table of EDOs with sagittal notation33/32

Revo flavor

Sagittal notationPeriodic table of EDOs with sagittal notation33/32

Evo-SZ flavor

Sagittal notationPeriodic table of EDOs with sagittal notation33/32

Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is also a Stein-Zimmerman notation.

Approximation to JI

Interval mappings

The following tables show how 15-odd-limit intervals are represented in 38edo. Prime harmonics are in bold; inconsistent intervals are in italics.

15-odd-limit intervals in 38edo (direct approximation, even if inconsistent)
Interval and complement Error (abs, ¢) Error (rel, %)
1/1, 2/1 0.000 0.0
11/9, 18/11 0.040 0.1
15/11, 22/15 0.109 0.3
5/3, 6/5 0.148 0.5
13/7, 14/13 1.982 6.3
15/13, 26/15 4.891 15.5
13/11, 22/13 4.999 15.8
13/9, 18/13 5.039 16.0
15/14, 28/15 6.873 21.8
11/7, 14/11 6.982 22.1
9/7, 14/9 7.021 22.2
9/5, 10/9 7.070 22.4
11/10, 20/11 7.109 22.5
3/2, 4/3 7.218 22.9
11/6, 12/11 7.258 23.0
5/4, 8/5 7.366 23.3
7/4, 8/7 10.121 32.1
13/8, 16/13 12.104 38.3
13/10, 20/13 12.109 38.3
13/12, 24/13 12.257 38.8
7/5, 10/7 14.091 44.6
7/6, 12/7 14.239 45.1
9/8, 16/9 14.436 45.7
11/8, 16/11 14.476 45.8
15/8, 16/15 14.585 46.2
15-odd-limit intervals in 38edo (patent val mapping)
Interval and complement Error (abs, ¢) Error (rel, %)
1/1, 2/1 0.000 0.0
11/9, 18/11 0.040 0.1
15/11, 22/15 0.109 0.3
5/3, 6/5 0.148 0.5
13/7, 14/13 1.982 6.3
9/5, 10/9 7.070 22.4
11/10, 20/11 7.109 22.5
3/2, 4/3 7.218 22.9
11/6, 12/11 7.258 23.0
5/4, 8/5 7.366 23.3
7/4, 8/7 10.121 32.1
13/8, 16/13 12.104 38.3
9/8, 16/9 14.436 45.7
11/8, 16/11 14.476 45.8
15/8, 16/15 14.585 46.2
7/6, 12/7 17.340 54.9
7/5, 10/7 17.488 55.4
13/12, 24/13 19.322 61.2
13/10, 20/13 19.470 61.7
9/7, 14/9 24.558 77.8
11/7, 14/11 24.597 77.9
15/14, 28/15 24.706 78.2
13/9, 18/13 26.540 84.0
13/11, 22/13 26.580 84.2
15/13, 26/15 26.688 84.5
15-odd-limit intervals by 38df val mapping
Interval and complement Error (abs, ¢) Error (rel, %)
1/1, 2/1 0.000 0.0
11/9, 18/11 0.040 0.1
15/11, 22/15 0.109 0.3
5/3, 6/5 0.148 0.5
13/7, 14/13 1.982 6.3
15/13, 26/15 4.891 15.5
13/11, 22/13 4.999 15.8
13/9, 18/13 5.039 16.0
15/14, 28/15 6.873 21.8
11/7, 14/11 6.982 22.1
9/7, 14/9 7.021 22.2
9/5, 10/9 7.070 22.4
11/10, 20/11 7.109 22.5
3/2, 4/3 7.218 22.9
11/6, 12/11 7.258 23.0
5/4, 8/5 7.366 23.3
13/10, 20/13 12.109 38.3
13/12, 24/13 12.257 38.8
7/5, 10/7 14.091 44.6
7/6, 12/7 14.239 45.1
9/8, 16/9 14.436 45.7
11/8, 16/11 14.476 45.8
15/8, 16/15 14.585 46.2
13/8, 16/13 19.475 61.7
7/4, 8/7 21.457 67.9

Rank-2 temperaments

Rank-2 temperaments in 38edo
Temperament Generator Periods per octave
Opossum 5\38 1
Hemisensi 7\38 1
Delorean / subkla 9\38 1
Migration / mohajira / nethertone / ptolemy / subklei 11\38 1
Hocus 13\38 1
Buzzard 15\38 1
Maquila / wilsec 17\38 1
Bimeantone / injera 3\38 2
Bison / hemikleismic 5\38 2
Astrology / divination / horoscope 7\38 2
Decimal 8\38 2

Octave stretch or compression

38edo's approximation of JI can be improved by slightly stretching the octave, as in 88ed5, 166zpi or 60edt.

Scales

MOS scales
  • Astrology[22]: 2 1 2 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 2 1 2
  • Buzzard[8]: 7 1 7 7 1 7 1 7
  • Buzzard[13] 1 6 1 6 1 1 6 1 1 6 1 6 1
  • Buzzard[18]: 1 5 1 1 1 5 1 1 1 5 1 1 5 1 1 1 5 1
  • Buzzard[23]: 1 1 4 1 1 1 4 1 1 1 1 4 1 1 1 1 4 1 1 1 4 1 1
  • Decimal[10]: 3 5 3 5 3 3 5 3 5 3
  • Decimal[14]: 3 2 3 3 3 2 3 3 2 3 3 3 2 3
  • Decimal[24]: 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 1 2
  • Hocus[23]: 1 1 1 6 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 6 1 1 1
  • Injera[6]: 3 13 3 3 13 3
  • Injera[8]: 3 3 10 3 3 3 10 3
  • Injera[10]: 3 3 7 3 3 3 3 7 3 3
  • Injera[12]: 3 3 3 4 3 3 3 3 3 4 3 3
  • Injera[14]: 3 3 3 1 3 3 3 3 3 3 1 3 3 3
  • Injera[26]: 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1
  • Maquila[20]: 1 3 1 3 1 3 1 3 1 1 3 1 3 1 3 1 3 1 3 1
  • Mohajira[7] (a.k.a. quasi-equiheptatonic): 5 6 5 6 5 6 5
  • Mohajira[10]: 5 1 5 5 1 5 5 5 1 5
  • Mohajira[17]: 1 4 1 4 1 1 4 1 4 1 4 1 1 4 1 4 1
  • Mohajira[24]: 1 3 1 1 1 3 1 1 3 1 1 1 3 1 1 3 1 1 3 1 1 1 3 1
  • Subkla[13]: 2 5 2 2 5 2 2 2 5 2 2 5 2
  • Subkla[17]: 2 3 2 2 2 3 2 2 2 3 2 2 2 3 2 2
  • Subkla[21]: 2 2 1 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1 2 2
MOS subsets
  • of injera[12]
    • Quasi-major: 6 7 3 6 6 7 3
    • Quasi-minor: 6 3 7 6 3 7 6
MODMOS scales
This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.
  • of bison[22]
    • Tame bison: 3 1 1 1 1 3 3 1 1 1 3 3 1 1 1 3 3 1 1 1 1 3
  • of hemisensi[11]
    • Hemisettled11: 3 3 3 4 3 6 3 3 3 4 3
  • of hemisensi[16]
    • Hemisettled16: 5 1 3 3 1 3 1 1 3 1 5 1 3 3 1 3
  • of opossum[23]
    • Tame possum: 3 3 2 2 2 3 2 2 2 3 2 2 2 3 3
Others
This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.

Instruments

Music

Bryan Deister
Claudi Meneghin
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