38edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
m →Intervals: formatting
Overthink (talk | contribs)
autopatrolled
2,763 edits
→Intervals: split ratios by subgroup
Line 19: Line 19:
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
|-
|-
! rowspan="2" | Step
! rowspan="3" | Step
! rowspan="2" | Cents
! rowspan="3" | Cents
! colspan="2" | Approximated ratios
! colspan="3" | Approximated ratios
! rowspan="2" colspan="3" | [[Ups and downs notation]]*<br>([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and vvd2)
! rowspan="3" colspan="3" | [[Ups and downs notation]]*<br>([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and vvd2)
|-
|-
! 19-odd-limit ratios, patent val
! rowspan="2" | Ratios of the <br>2.3.5.11.17.19 subgroup
! 19-odd-limit ratios,<br>in 38df val
! colspan="2" | Ratios of 7 and 13
|-
! Patent val
! 38df val
|-
|-
| 0
| 0
| 0.0
| 0.0
| [[1/1]]
| [[1/1]]
| [[1/1]]
|  
|
| Perfect 1sn
| Perfect 1sn
| P1
| P1
Line 37: Line 41:
| 1
| 1
| 31.6
| 31.6
|
|
|
|  
|  
| Up 1sn
| Up 1sn
| ^1
| ^1
Line 45: Line 50:
| 2
| 2
| 63.2
| 63.2
|
|
|
|  
|  
| Aug 1sn, dim 2nd
| Aug 1sn, dim 2nd
| A1, d2
| A1, d2
Line 53: Line 59:
| 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]]
| ''[[15/14]]''
|
| Upaug 1sn, downminor 2nd
| Upaug 1sn, downminor 2nd
| ^A1, vm2
| ^A1, vm2
Line 61: Line 68:
| 4
| 4
| 126.3
| 126.3
| 16/15, 15/14, 14/13
| [[16/15]]
| [[16/15]], [[15/14]], [[14/13]], [[13/12]]
| [[14/13]]
| [[15/14]], [[14/13]], [[13/12]]
| Minor 2nd
| Minor 2nd
| m2
| m2
Line 69: Line 77:
| 5
| 5
| 157.9
| 157.9
| 13/12, 12/11, 11/10
| [[12/11]], [[11/10]]
| [[12/11]], [[11/10]]
| ''[[13/12]]''
|
| Mid 2nd
| Mid 2nd
| ~2
| ~2
Line 77: Line 86:
| 6
| 6
| 189.5
| 189.5
| 10/9, 19/17, 9/8
| [[10/9]], [[19/17]], [[9/8]]
| [[10/9]], [[19/17]], [[9/8]]
|
|
| Major 2nd
| Major 2nd
| M2
| M2
Line 85: Line 95:
| 7
| 7
| 221.1
| 221.1
| 17/15, 8/7, 15/13
| [[17/15]]
| [[17/15]]
| [[8/7]], ''[[15/13]]''
|
| Upmajor 2nd
| Upmajor 2nd
| ^M2
| ^M2
Line 93: Line 104:
| 8
| 8
| 252.6
| 252.6
| 22/19
| [[22/19]]
| [[8/7]], [[15/13]], [[22/19]], [[7/6]]
|  
| ''[[8/7]]'', [[15/13]], [[7/6]]
| Aug 2nd, Dim 3rd
| Aug 2nd, Dim 3rd
| A2, d3
| A2, d3
Line 101: Line 113:
| 9
| 9
| 284.2
| 284.2
| 7/6, 20/17, 19/16
| [[20/17]], [[19/16]]
| [[20/17]], [[13/11]], [[19/16]]
| ''[[7/6]]''
| [[13/11]]
| Downminor 3rd
| Downminor 3rd
| vm3
| vm3
Line 109: Line 122:
| 10
| 10
| 315.8
| 315.8
| 13/11, 6/5, 17/14
| [[6/5]]
| [[6/5]]
| ''[[13/11]]'', ''[[17/14]]''
|
| Minor 3rd
| Minor 3rd
| m3
| m3
Line 117: Line 131:
| 11
| 11
| 347.4
| 347.4
| 16/13, 11/9
| [[11/9]]
| [[17/14]], [[11/9]]
| [[16/13]]
| [[17/14]]
| Mid 3rd
| Mid 3rd
| ~3
| ~3
Line 125: Line 140:
| 12
| 12
| 378.9
| 378.9
| 5/4
| [[5/4]]
| [[16/13]], [[5/4]]
|  
| ''[[16/13]]''
| Major 3rd
| Major 3rd
| M3
| M3
Line 133: Line 149:
| 13
| 13
| 410.5
| 410.5
| 9/7, 24/19, 19/15
| [[24/19]], [[19/15]]
| [[24/19]], [[19/15]], [[14/11]]
| ''[[9/7]]''
| [[14/11]]
| Upmajor 3rd, Downdim 4th
| Upmajor 3rd, Downdim 4th
| ^M3, vd4
| ^M3, vd4
Line 141: Line 158:
| 14
| 14
| 442.1
| 442.1
| 14/11, 22/17, 17/13
| [[22/17]]
| [[9/7]], [[22/17]], [[13/10]]
| ''[[14/11]]'', ''[[17/13]]''
| [[9/7]], [[13/10]]
| Aug 3rd, dim 4th
| Aug 3rd, dim 4th
| A3, d4
| A3, d4
Line 149: Line 167:
| 15
| 15
| 473.7
| 473.7
| 13/10
|  
| ''[[13/10]]''
| [[17/13]]
| [[17/13]]
| Down 4th
| Down 4th
Line 157: Line 176:
| 16
| 16
| 505.3
| 505.3
| 4/3, 19/14
| [[4/3]]
| [[4/3]]
| ''[[19/14]]''
|
| Perfect 4th
| Perfect 4th
| P4
| P4
Line 165: Line 185:
| 17
| 17
| 536.8
| 536.8
| 15/11, 11/8, 18/13
| [[15/11]], [[11/8]]
| [[19/14]], [[15/11]], [[26/19]], [[11/8]]
| ''[[18/13]]''
| [[19/14]], [[26/19]]
| Up 4th
| Up 4th
| ^4
| ^4
Line 173: Line 194:
| 18
| 18
| 568.4
| 568.4
| 26/19
|  
| ''[[26/19]]''
| [[18/13]], [[7/5]]
| [[18/13]], [[7/5]]
| Aug 4th
| Aug 4th
Line 181: Line 203:
| 19
| 19
| 600.0
| 600.0
| 7/5, 24/17, 17/12, 10/7
| [[24/17]], [[17/12]]
| [[24/17]], [[17/12]]
| [[7/5]], [[10/7]]
|
| Upaug 4th, downdim 5th
| Upaug 4th, downdim 5th
| ^A4, vd5
| ^A4, vd5
Line 189: Line 212:
| 20
| 20
| 631.6
| 631.6
| 19/13
|  
| ''[[19/13]]''
| [[10/7]], [[13/9]]
| [[10/7]], [[13/9]]
| Dim 5th
| Dim 5th
Line 197: Line 221:
| 21
| 21
| 663.2
| 663.2
| 16/11, 22/15, 13/9
| [[16/11]], [[22/15]]
| [[16/11]], [[19/13]], [[22/15]], [[28/19]]
| ''[[13/9]]''
| [[19/13]], [[28/19]]
| Down 5th
| Down 5th
| v5
| v5
Line 205: Line 230:
| 22
| 22
| 694.7
| 694.7
| 3/2, 28/19
| [[3/2]]
| [[3/2]]
| ''[[28/19]]''
|
| Perfect 5th
| Perfect 5th
| P5
| P5
Line 213: Line 239:
| 23
| 23
| 726.3
| 726.3
| 20/13
|  
| ''[[20/13]]''
| [[26/17]]
| [[26/17]]
| Up 5th
| Up 5th
Line 221: Line 248:
| 24
| 24
| 757.9
| 757.9
| 17/11, 11/7, 26/17
| [[17/11]]
| [[20/13]], [[17/11]], [[14/9]]
| ''[[26/17]]'', ''[[11/7]]''
|
| Aug 5th, dim 6th
| Aug 5th, dim 6th
| A5, d6
| A5, d6
Line 229: Line 257:
| 25
| 25
| 789.5
| 789.5
| 14/9, 19/12, 30/19
| [[30/19]], [[19/12]]
| [[11/7]], [[30/19]], [[19/12]]
| ''[[14/9]]''
| [[11/7]]
| Upaug 5th, downminor 6th
| Upaug 5th, downminor 6th
| ^A5, vm6
| ^A5, vm6
Line 237: Line 266:
| 26
| 26
| 821.1
| 821.1
| 8/5
| [[8/5]]
| [[8/5]], [[13/8]]
|
| ''[[13/8]]''
| Minor 6th
| Minor 6th
| m6
| m6
Line 245: Line 275:
| 27
| 27
| 852.6
| 852.6
| 18/11, 13/8
| [[18/11]]
| [[18/11]], [[28/17]]
| [[13/8]]
| [[28/17]]
| Mid 6th
| Mid 6th
| ~6
| ~6
Line 253: Line 284:
| 28
| 28
| 884.2
| 884.2
| 22/13, 5/3, 28/17
| [[5/3]]
| [[5/3]]
| ''[[28/17]]'', ''[[22/13]]''
|
| Major 6th
| Major 6th
| M6
| M6
Line 261: Line 293:
| 29
| 29
| 915.8
| 915.8
| 32/19, 17/10, 12/7
| [[32/19]], [[17/10]]
| [[32/19]], [[22/13]], [[17/10]]
|
|
| Upmajor 6th
| Upmajor 6th
| ^M6
| ^M6
Line 269: Line 302:
| 30
| 30
| 947.4
| 947.4
| 19/11
| [[19/11]]
| [[12/7]], [[19/11]], [[26/15]], [[7/4]]
|
| [[12/7]], [[26/15]], ''[[7/4]]''
| Aug 6th, dim 7th
| Aug 6th, dim 7th
| A6, d7
| A6, d7
Line 277: Line 311:
| 31
| 31
| 978.9
| 978.9
| 30/17, 7/4, 26/15
| [[30/17]]
| [[30/17]]
| ''[[26/15]]'', [[7/4]]
|
| Downminor 7th
| Downminor 7th
| vm7
| vm7
Line 285: Line 320:
| 32
| 32
| 1010.5
| 1010.5
| 9/5, 16/9, 34/19
| [[16/9]], [[34/19]], [[9/5]]
| [[16/9]], [[34/19]], [[9/5]]
|
|
| Minor 7th
| Minor 7th
| m7
| m7
Line 293: Line 329:
| 33
| 33
| 1042.1
| 1042.1
| 11/6, 20/11, 24/13
| [[20/11]], [[11/6]]
| [[20/11]], [[11/6]]
| ''[[24/13]]''
|
| Mid 7th
| Mid 7th
| ~7
| ~7
Line 301: Line 338:
| 34
| 34
| 1073.7
| 1073.7
| 13/7, 15/8, 28/25
| [[15/8]]
| [[24/13]], [[13/7]], [[28/15]], [[15/8]]
| [[13/7]]
| [[24/13]], [[13/7]], [[28/15]]
| Major 7th
| Major 7th
| M7
| M7
Line 309: Line 347:
| 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]]
| ''[[28/15]]''
|
| Upmajor 7th, Downdim 8ve
| Upmajor 7th, Downdim 8ve
| ^M7, vd8
| ^M7, vd8
Line 317: Line 356:
| 36
| 36
| 1136.8
| 1136.8
|
|
|
|  
|  
| Aug 7th, dim 8ve
| Aug 7th, dim 8ve
| A7, d8
| A7, d8
Line 327: Line 367:
|
|
|
|
|
| Down 8ve
| Down 8ve
| v8
| v8
Line 334: Line 375:
| 1200.0
| 1200.0
| [[2/1]]
| [[2/1]]
| [[2/1]]
|  
|
| Perfect 8ve
| Perfect 8ve
| P8
| P8

Revision as of 16:01, 22 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)
Ratios of the
2.3.5.11.17.19 subgroup 		Ratios of 7 and 13
Patent val 38df val
0 0.0 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 15/14 Upaug 1sn, downminor 2nd ^A1, vm2 ^D#, vEb
4 126.3 16/15 14/13 15/14, 14/13, 13/12 Minor 2nd m2 Eb
5 157.9 12/11, 11/10 13/12 Mid 2nd ~2 vE
6 189.5 10/9, 19/17, 9/8 Major 2nd M2 E
7 221.1 17/15 8/7, 15/13 Upmajor 2nd ^M2 ^E
8 252.6 22/19 8/7, 15/13, 7/6 Aug 2nd, Dim 3rd A2, d3 E#, Fb
9 284.2 20/17, 19/16 7/6 13/11 Downminor 3rd vm3 vF
10 315.8 6/5 13/11, 17/14 Minor 3rd m3 F
11 347.4 11/9 16/13 17/14 Mid 3rd ~3 ^F
12 378.9 5/4 16/13 Major 3rd M3 F#
13 410.5 24/19, 19/15 9/7 14/11 Upmajor 3rd, Downdim 4th ^M3, vd4 ^F#, vGb
14 442.1 22/17 14/11, 17/13 9/7, 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 Perfect 4th P4 G
17 536.8 15/11, 11/8 18/13 19/14, 26/19 Up 4th ^4 ^G
18 568.4 26/19 18/13, 7/5 Aug 4th A4 G#
19 600.0 24/17, 17/12 7/5, 10/7 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 19/13, 28/19 Down 5th v5 vA
22 694.7 3/2 28/19 Perfect 5th P5 A
23 726.3 20/13 26/17 Up 5th ^5 ^A
24 757.9 17/11 26/17, 11/7 Aug 5th, dim 6th A5, d6 A#
25 789.5 30/19, 19/12 14/9 11/7 Upaug 5th, downminor 6th ^A5, vm6 ^A#, vBb
26 821.1 8/5 13/8 Minor 6th m6 Bb
27 852.6 18/11 13/8 28/17 Mid 6th ~6 vB
28 884.2 5/3 28/17, 22/13 Major 6th M6 B
29 915.8 32/19, 17/10 Upmajor 6th ^M6 ^B
30 947.4 19/11 12/7, 26/15, 7/4 Aug 6th, dim 7th A6, d7 B#, Cb
31 978.9 30/17 26/15, 7/4 Downminor 7th vm7 vC
32 1010.5 16/9, 34/19, 9/5 Minor 7th m7 C
33 1042.1 20/11, 11/6 24/13 Mid 7th ~7 ^C
34 1073.7 15/8 13/7 24/13, 13/7, 28/15 Major 7th M7 C#
35 1105.3 32/17, 17/9, 36/19, 19/10 28/15 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 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
Retrieved from "https://en.xen.wiki/index.php?title=38edo&oldid=230765"