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<span style="display: block; text-align: right;">[[:de:37edo|Deutsch]]</span>
{{interwiki
{{Infobox ET
| de = 37-EDO
| Prime factorization = 37 (prime)
| en = 37edo
| Step size = 32.432¢
| es =  
| Fifth = 22\37 = 713.514¢
| ja =  
| Major 2nd = 7\37 = 227¢
| Minor 2nd = 1\37 = 32¢
| Augmented 1sn = 6\37 = 195¢
}}
}}
'''37edo''' is a scale derived from dividing the octave into 37 equal steps. It is the 12th [[prime_numbers|prime]] edo, following [[31edo]] and coming before [[41edo]].
{{Infobox ET}}
{{ED intro}}


== Theory ==
== Theory ==
{| class="wikitable center-all"
37edo has very accurate approximations of harmonics [[5/1|5]], [[7/1|7]], [[11/1|11]] and [[13/1|13]], making it a good choice for a [[no-threes subgroup temperaments|no-threes]] approach. Harmonic 11 is particularly accurate, being only 0.03 cents sharp.
! colspan="2" | <!-- empty cell -->
! prime 2
! prime 3
! prime 5
! prime 7
! prime 11
! prime 13
! prime 17
! prime 19
! prime 23
|-
! rowspan="2" | Error
! absolute (¢)
| 0.0
| +11.6
| +2.9
| +4.1
| +0.0
| +2.7
| -7.7
| -5.6
| -12.1
|-
! [[Relative error|relative]] (%)
| 0
| +36
| +9
| +13
| +0
| +8
| -24
| -17
| -37
|-
! colspan="2" | [[nearest edomapping]]
| 37
| 22
| 12
| 30
| 17
| 26
| 3
| 9
| 19
|}


Using its best (and sharp) fifth, 37edo tempers out 250/243, making it a variant of [[porcupine]] temperament. It is the optimal patent val for [[Porcupine_family#Porcupinefish|porcupinefish]], which is about as accurate as "13-limit porcupine" will be. Using its alternative flat fifth, it tempers out 16875/16384, making it a [[Negri|negri]] tuning. It also tempers out 2187/2000, resulting in a temperament where three minor whole tones make up a fifth ([[gorgo]]/[[laconic]]).
Using its best (and sharp) fifth, 37edo tempers out 250/243, making it a variant of [[porcupine]] temperament. It is the [[optimal patent val]] for [[Porcupine family #Porcupinefish|porcupinefish]], which is about as accurate as 13-limit porcupine extensions will be. Using its alternative flat fifth, it tempers out [[16875/16384]], making it a [[negri]] tuning. It also tempers out 2187/2000, resulting in a temperament where three minor whole tones make up a fifth ([[gorgo]]/[[laconic]]).


37edo is also a very accurate equal tuning for [[undecimation]] temperament, which has a generator of about 519 cents; 2 generators lead to 29/16; 3 generators to 32/13; 6 generators to a 10 cent sharp 6/1; 8 generators to a very accurate 11/1 and 10 generators to 20/1. It has a 7L+2s nonatonic MOS, which in 37-edo scale degrees is 0, 1, 6, 11, 16, 17, 22, 27, 32, a scale structure reminiscent of mavila; as well as a 16 note MOS.
37edo is also a very accurate equal tuning for [[undecimation]] temperament, which has a [[generator]] of about 519 cents; 2 generators lead to 29/16; 3 generators to 32/13; 6 generators to a 10 cent sharp 6/1; 8 generators to a very accurate 11/1 and 10 generators to 20/1. It has a [[7L 2s]] enneatonic [[mos]], which in 37edo scale degrees is 0, 1, 6, 11, 16, 17, 22, 27, 32, a scale structure reminiscent of mavila; as well as a 16-note mos.


=== Subgroups ===
In the no-3 [[13-odd-limit]], 37edo maintains the smallest relative error of any edo until [[851edo]], and the smallest absolute error until [[103edo]]{{clarify}}. <!-- what is the metric being used? -->
37edo offers close approximations to [[Overtone series|harmonics]] 5, 7, 11, and 13 [and a usable approximation of 9 as well].


12\37 = 389.2 cents
=== Odd harmonics ===
{{Harmonics in equal|37}}


30\37 = 973.0 cents
=== Subsets and supersets ===
37edo is the 12th [[prime edo]], following [[31edo]] and coming before [[41edo]].  


17\37 = 551.4 cents
[[74edo]], which doubles it, provides an alternative approximation to harmonic 3 that supports [[meantone]]. [[111edo]], which triples it, gives a very accurate approximation of harmonic 3, and manifests itself as a great higher-limit system. [[296edo]], which slices its step in eight, is a good 13-limit system.


26\37 = 843.2 cents
=== Subgroups ===
37edo offers close approximations to [[Harmonic series|harmonics]] 5, 7, 11, and 13, and a usable approximation of 9 as well.
* 12\37 = 389.2 cents
* 30\37 = 973.0 cents
* 17\37 = 551.4 cents
* 26\37 = 843.2 cents
* [6\37 = 194.6 cents]


[6\37edo = 194.6 cents]
This means 37 is quite accurate on the 2.5.7.11.13 subgroup, where it shares the same tuning as [[111edo]]. In fact, on the larger [[k*N subgroups|3*37 subgroup]] 2.27.5.7.11.13.51.57 subgroup not only shares the same tuning as 19-limit 111edo, it tempers out the same commas. A simpler but less accurate approach is to use the 2*37-subgroup, 2.9.7.11.13.17.19, on which it has the same tuning and commas as [[74edo]].


This means 37 is quite accurate on the 2.5.7.11.13 subgroup, where it shares the same tuning as 111et. In fact, on the larger [[k*N_subgroups|3*37 subgroup]] 2.27.5.7.11.13.51.57 subgroup not only shares the same tuning as 19-limit 111et, it tempers out the same commas. A simpler but less accurate approach is to use the 2*37-subgroup, 2.9.7.11.13.17.19, on which it has the same tuning and commas as 74et.
=== Dual fifths ===
 
=== The Two Fifths ===
The just [[perfect fifth]] of frequency ratio 3:2 is not well-approximated, and falls between two intervals in 37edo:
The just [[perfect fifth]] of frequency ratio 3:2 is not well-approximated, and falls between two intervals in 37edo:


Line 96: Line 54:
"major third" = 14\37 = 454.1 cents
"major third" = 14\37 = 454.1 cents


If the minor third of 259.5 cents is mapped to 7/6, this superpythagorean scale can be thought of as a variant of [[The_Biosphere|Biome]] temperament.
If the minor third of 259.5 cents is mapped to 7/6, this superpythagorean scale can be thought of as a variant of [[The Biosphere|Oceanfront]] temperament.
 
37edo can only barely be considered as "dual-fifth", because the sharp fifth is 12 cents sharp of 3/2, has a regular diatonic scale, and can be interpreted as somewhat accurate regular temperaments like [[archy]] and the aforementioned oceanfront. In contrast, the flat fifth is 21 cents flat and the only low-limit interpretation is as the very inaccurate [[mavila]].


Interestingly, the "major thirds" of both systems are not 12\37 = 389.2¢, the closest approximation to 5/4 available in 37edo.
Since both fifths do not support [[meantone]], the "major thirds" of both systems are not 12\37 = 389.2¢, the closest approximation to 5/4 available in 37edo.


37edo has great potential as a near-just xenharmonic system, with high-prime chords such as 8:10:11:13:14 with no perfect fifths available for common terrestrial progressions. The 9/8 approximation is usable but introduces error. One may choose to treat either of the intervals close to 3/2 as 3/2, introducing additional approximations with considerable error (see interval table below).
37edo has great potential as a near-just xenharmonic system, with high-prime chords such as 8:10:11:13:14 with no perfect fifths available for common terrestrial progressions. The 9/8 approximation is usable but introduces error. One may choose to treat either of the intervals close to 3/2 as 3/2, introducing additional approximations with considerable error (see interval table below).
=== No-3 approach ===
If prime 3 is ignored, 37edo represents the no-3 23-odd-limit consistently, and is distinctly consistent within the no-3 16-integer-limit.


== Intervals ==
== Intervals ==
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
|-
|-
Line 122: Line 84:
| 1
| 1
| 32.43
| 32.43
|
| [[55/54]], [[56/55]]
|
|
|
|
Line 136: Line 98:
| 3
| 3
| 97.30
| 97.30
| [[55/52]]
| [[128/121]], [[55/52]]
|
| [[16/15]]
|
|
|
|
Line 144: Line 106:
| 129.73
| 129.73
| [[14/13]]
| [[14/13]]
| [[13/12]]
| [[13/12]], [[15/14]]
| [[12/11]]
| [[12/11]]
|
|
Line 157: Line 119:
| 6
| 6
| 194.59
| 194.59
|
| [[28/25]]
|
|
|
|
Line 172: Line 134:
| 259.46
| 259.46
|
|
| [[7/6]]
| [[7/6]], [[15/13]]
|
|
|
|
Line 206: Line 168:
| 13
| 13
| 421.62
| 421.62
| [[14/11]]
| [[14/11]], [[32/25]]
|
|
|
|
Line 235: Line 197:
| 551.35
| 551.35
| [[11/8]]
| [[11/8]]
|
| [[15/11]]
|
|
| [[18/13]]
| [[18/13]]
Line 256: Line 218:
| 648.65
| 648.65
| [[16/11]]
| [[16/11]]
|
| [[22/15]]
|
|
| [[13/9]]
| [[13/9]]
Line 283: Line 245:
| 24
| 24
| 778.38
| 778.38
| [[11/7]]
| [[11/7]], [[25/16]]
|
|
|
|
Line 319: Line 281:
| 940.54
| 940.54
|
|
| [[12/7]]
| [[12/7]], [[26/15]]
|
|
|
|
Line 332: Line 294:
| 31
| 31
| 1005.41
| 1005.41
|
| [[25/14]]
|
|
|
|
Line 339: Line 301:
| 32
| 32
| 1037.84
| 1037.84
| [[11/6]]
| [[20/11]]
| [[9/5]], [[11/6]]
| [[9/5]], [[11/6]]
|
|
Line 347: Line 309:
| 1070.27
| 1070.27
| [[13/7]]
| [[13/7]]
| [[24/13]]
| [[24/13]], [[28/15]]
| [[11/6]]
| [[11/6]]
|
|
Line 353: Line 315:
| 34
| 34
| 1102.70
| 1102.70
| [[104/55]]
| [[121/64]], [[104/55]]
|
| [[15/8]]
|
|
|
|
Line 380: Line 342:
|}
|}


== Just approximation ==
== Notation ==
=== Ups and downs notation ===
37edo can be notated using [[ups and downs notation]]:


=== Temperament measures ===
{| class="wikitable center-all right-2 left-3"
The following table shows [[TE temperament measures]] (RMS normalized by the rank) of 37et.
|-
{| class="wikitable center-all"
! Degrees
! colspan="2" |
! Cents
! 3-limit
! colspan="3" | [[Ups and downs notation]]
! 5-limit
|-
! 7-limit
| 0
! 11-limit
| 0.00
! 13-limit
| Perfect 1sn
! no-3 11-limit
| P1
! no-3 13-limit
| D
! no-3 17-limit
|-
! no-3 19-limit
| 1
! no-3 23-limit
| 32.43
| Minor 2nd
| m2
| Eb
|-
| 2
| 64.86
| Upminor 2nd
| ^m2
| ^Eb
|-
| 3
| 97.30
| Downmid 2nd
| v~2
| ^^Eb
|-
| 4
| 129.73
| Mid 2nd
| ~2
| Ed
|-
| 5
| 162.16
| Upmid 2nd
| ^~2
| vvE
|-
| 6
| 194.59
| Downmajor 2nd
| vM2
| vE
|-
| 7
| 227.03
| Major 2nd
| M2
| E
|-
| 8
| 259.46
| Minor 3rd
| m3
| F
|-
| 9
| 291.89
| Upminor 3rd
| ^m3
| ^F
|-
| 10
| 324.32
| Downmid 3rd
| v~3
| ^^F
|-
| 11
| 356.76
| Mid 3rd
| ~3
| Ft
|-
| 12
| 389.19
| Upmid 3rd
| ^~3
| vvF#
|-
| 13
| 421.62
| Downmajor 3rd
| vM3
| vF#
|-
| 14
| 454.05
| Major 3rd
| M3
| F#
|-
| 15
| 486.49
| Perfect 4th
| P4
| G
|-
| 16
| 518.92
| Up 4th, Dim 5th
| ^4, d5
| ^G, Ab
|-
| 17
| 551.35
| Downmid 4th, Updim 5th
| v~4, ^d5
| ^^G, ^Ab
|-
| 18
| 583.78
| Mid 4th, Downmid 5th
| ~4, v~5
| Gt, ^^Ab
|-
| 19
| 616.22
| Mid 5th, Upmid 4th
| ~5, ^~4
| Ad, vvG#
|-
| 20
| 648.65
| Upmid 5th, Downaug 5th
| ^~5, vA4
| vvA, vG#
|-
| 21
| 681.08
| Down 5th, Aug 4th
| v5, A4
| vA, G#
|-
| 22
| 713.51
| Perfect 5th
| P5
| A
|-
| 23
| 745.95
| Minor 6th
| m6
| Bb
|-
| 24
| 778.38
| Upminor 6th
| ^m6
| ^Bb
|-
|-
! colspan="2" |Octave stretch (¢)
| 25
| -3.65
| 810.81
| -2.85
| Downmid 6th
| -2.50
| v~6
| -2.00
| ^^Bb
| -1.79
| -0.681
| -0.692
| -0.265
| -0.0386
| +0.299
|-
|-
! rowspan="2" |Error
| 26
! [[TE error|absolute]] (¢)
| 843.24
| 3.64
| Mid 6th
| 3.18
| ~6
| 2.82
| Bd
| 2.71
|-
| 2.52
| 27
| 0.681
| 875.68
| 0.610
| Upmid 6th
| 1.11
| ^~6
| 1.17
| vvB
| 1.41
|-
| 28
| 908.11
| Downmajor 6th
| vM6
| vB
|-
| 29
| 940.54
| Major 6th
| M6
| B
|-
| 30
| 972.97
| Minor 7th
| m7
| C
|-
| 31
| 1005.41
| Upminor 7th
| ^m7
| ^C
|-
| 32
| 1037.84
| Downmid 7th
| v~7
| ^^C
|-
| 33
| 1070.27
| Mid 7th
| ~7
| Ct
|-
| 34
| 1102.70
| Upmid 7th
| ^~7
| vvC#
|-
| 35
| 1135.14
| Downmajor 7th
| vM7
| vC#
|-
| 36
| 1167.57
| Major 7th
| M7
| C#
|-
|-
! [[TE simple badness|relative]] (%)
| 37
| 11.24
| 1200.00
| 9.82
| Perfect 8ve
| 8.70
| P8
| 8.37
| D
| 7.78
| 2.10
| 1.88
| 3.41
| 3.59
| 4.35
|}
|}


* 37et is most prominent in the no-3 11-, 13-, 17-, 19- and 23-limit subgroups. The next ET that does better in these subgroups is 109, 581, 103, 124 and 93, respectively.  
37edo can be notated with ups and downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.
{{Sharpness-sharp6a}}
 
Half-sharps and half-flats can be used to avoid triple arrows:
{{Sharpness-sharp6b}}
 
[[Alternative symbols for ups and downs notation#Sharp-6| Alternative ups and downs]] have sharps and flats with arrows borrowed from extended [[Helmholtz–Ellis notation]]:
{{Sharpness-sharp6}}
 
If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
{{Sharpness-sharp6-qt}}
 
=== Ivan Wyschnegradsky's notation ===
Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used:
 
{{Sharpness-sharp6-iw}}
 
=== Sagittal notation ===
This notation uses the same sagittal sequence as EDOs [[23edo#Second-best fifth notation|23b]], [[30edo#Sagittal notation|30]], and [[44edo#Sagittal notation|44]].
 
==== Evo and Revo flavors ====
<imagemap>
File:37-EDO_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 300 0 599 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 300 106 [[Fractional_3-limit_notation#Bad-fifths_apotome-fraction_notation | apotome-fraction notation]]
default [[File:37-EDO_Sagittal.svg]]
</imagemap>
 
==== Alternative Evo flavor ====
<imagemap>
File:37-EDO_Alternative_Evo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 300 0 639 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 300 106 [[Fractional_3-limit_notation#Bad-fifths_apotome-fraction_notation | apotome-fraction notation]]
default [[File:37-EDO_Alternative_Evo_Sagittal.svg]]
</imagemap>


== Scales ==
==== Evo-SZ flavor ====
<imagemap>
File:37-EDO_Evo-SZ_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 300 0 623 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 300 106 [[Fractional_3-limit_notation#Bad-fifths_apotome-fraction_notation | apotome-fraction notation]]
default [[File:37-EDO_Evo-SZ_Sagittal.svg]]
</imagemap>


* [[MOS_Scales_of_37edo|MOS Scales of 37edo]]
== Regular temperament properties ==
* [[roulette6]]
{| class="wikitable center-4 center-5 center-6"
* [[roulette7]]
|-
* [[roulette13]]
! rowspan="2" | [[Subgroup]]
* [[roulette19]]
! rowspan="2" | [[Comma list]]
* [[Chromatic_pairs#Shoe|Shoe]]
! rowspan="2" | [[Mapping]]
* [[37ED4]]
! rowspan="2" | Optimal<br>8ve stretch (¢)
* [[square_root_of_13_over_10|The Square Root of 13/10]]
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.5
| {{monzo| 86 -37 }}
| {{mapping| 37 86 }}
| −0.619
| 0.619
| 1.91
|-
| 2.5.7
| 3136/3125, 4194304/4117715
| {{mapping| 37 86 104 }}
| −0.905
| 0.647
| 2.00
|-
| 2.5.7.11
| 176/175, 1375/1372, 65536/65219
| {{mapping| 37 86 104 128 }}
| −0.681
| 0.681
| 2.10
|-
| 2.5.7.11.13
| 176/175, 640/637, 847/845, 1375/1372
| {{mapping| 37 86 104 128 137 }}
| −0.692
| 0.610
| 1.88
|}
* 37et is most prominent in the no-3 11-, 13-, 17-, 19- and 23-limit subgroups. The next equal temperaments doing better in these subgroups are 109, 581, 103, 124 and 93, respectively.


== Linear temperaments ==
=== Rank-2 temperaments ===
* [[List of 37et rank two temperaments by badness]]
* [[List of 37et rank two temperaments by badness]]


{| class="wikitable"
{| class="wikitable center-1"
|-
|-
! Generator
! Generator
! "Sharp 3/2" temperaments
! In patent val
! "Flat 3/2" temperaments (37b val)
! In 37b val
|-
|-
| 1\37
| 1\37
Line 462: Line 687:
|-
|-
| 2\37
| 2\37
| [[Sycamore_family|Sycamore]]
| [[Sycamore]]
|  
|  
|-
|-
Line 474: Line 699:
|-
|-
| 5\37
| 5\37
| [[Porcupine]]/[[The_Biosphere#Oceanfront-Oceanfront Children-Porcupinefish|porcupinefish]]
| [[Porcupine]] / [[porcupinefish]]
|  
|  
|-
|-
| 6\37
| 6\37
| colspan="2" | [[Chromatic_pairs#Roulette|Roulette]]
| colspan="2" | [[Didacus]] / [[roulette]]
|-
|-
| 7\37
| 7\37
| [[Semaja]]
| [[Shoe]] / [[semaja]]
| [[Gorgo]]/[[Laconic]]
| [[Shoe]] / [[laconic]] / [[gorgo]]
|-
|-
| 8\37
| 8\37
|  
|  
| [[Semiphore]]
| [[Semaphore]] (37bd)
|-
|-
| 9\37
| 9\37
|  
|  
| [[Chromatic_pairs#Gariberttet|Gariberttet]]
| [[Gariberttet]]
|-
|-
| 10\37
| 10\37
Line 505: Line 730:
|-
|-
| 13\37
| 13\37
| [[Meantone_family#Squares|Squares]]
| [[Skwares]] (37dd)
|  
|  
|-
|-
Line 513: Line 738:
|-
|-
| 15\37
| 15\37
| [[The_Biosphere#Oceanfront-Oceanfront Children-Ultrapyth|Ultrapyth]], '''not''' [[superpyth]]
| [[Ultrapyth]], [[oceanfront]]
|  
|  
|-
|-
| 16\37
| 16\37
| [[Undecimation]]
|  
|  
| [[Mavila]] (technically this is "undecimation")
|-
|-
| 17\37
| 17\37
| [[Hemimean_clan#Emka|Emka]]
| [[Freivald]], [[emka]], [[onzonic]]
|  
|  
|-
|-
Line 528: Line 753:
|  
|  
|}
|}
== Scales ==
* [[MOS Scales of 37edo]]
* [[Chromatic pairs#Roulette|Roulette scales]]
* [[37ED4]]
* [[Square root of 13 over 10]]
=== Every 8 steps of 37edo ===
{| class="wikitable center-1 right-2"
|+
!Degrees
!Cents
!Approximate Ratios<br>of 6.7.11.20.27 subgroup
!Additional Ratios
|-
|0
|0.000
|[[1/1]]
|
|-
|1
|259.46
|[[7/6]]
|
|-
|2
|518.92
|[[27/20]]
|
|-
|3
|778.38
|[[11/7]]
|
|-
|4
|1037.84
|[[20/11]], [[11/6]]
|
|-
|5
|1297.30
|
|[[19/9]]
|-
|6
|1556.76
|[[27/11]]
|
|-
|7
|1816.22
|[[20/7]]
|
|-
|8
|2075.68
|[[10/3]]
|
|-
|9
|2335.14
|[[27/7]]
|
|-
|10
|2594.59
|[[9/2]]
|
|-
|11
|2854.05
|
|[[26/5]]
|-
|12
|3113.51
|[[6/1]]
|
|-
|13
|3372.97
|[[7/1]]
|
|-
|14
|3632.43
|
|
|-
|15
|3891.89
|
|[[19/2]]
|-
|16
|4151.35
|[[11/1]]
|
|-
|17
|4410.81
|
|
|-
|18
|4670.27
|
|
|-
|19
|4929.73
|
|
|-
|20
|5189.19
|[[20/1]]
|
|-
|21
|5448.65
|
|
|-
|22
|5708.11
|[[27/1]]
|
|}
== Instruments ==
; Lumatone
* [[Lumatone mapping for 37edo]]
; Fretted instruments
* [[Skip fretting system 37 2 7]]


== Music ==
== Music ==
* [http://www.akjmusic.com/audio/toccata_bianca_37edo.mp3 Toccata Bianca 37edo] by [http://www.akjmusic.com/ Aaron Krister Johnson]
; [[Beheld]]
* [http://andrewheathwaite.bandcamp.com/track/shorn-brown Shorn Brown] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2002%20Shorn%20Brown.mp3 play] and [http://andrewheathwaite.bandcamp.com/track/jellybear Jellybear] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2003%20Jellybear.mp3 play] by [[Andrew Heathwaite]]
* [https://www.youtube.com/watch?v=IULi2zSdatA ''Mindless vibe''] (2023)
* [http://micro.soonlabel.com/gene_ward_smith/Others/Monzo/monzo_kog-sisters_2014-0405.mp3 The Kog Sisters] by [[Joe Monzo]]
 
* [https://www.youtube.com/watch?v=8reCr2nDGbw Porcupine Lullaby] by [[Ray Perlner]]
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/e7dLJTsS3PQ ''37edo''] (2025)
* [https://www.youtube.com/shorts/m9hmiH8zong ''37edo jam''] (2025)
 
; [[Francium]]
* [https://www.youtube.com/watch?v=jpPjVouoq3E ''5 days in''] (2023)
* [https://www.youtube.com/watch?v=ngxSiuVadls ''A Dark Era Arises''] (2023) – in Porcupine[15], 37edo tuning
* [https://www.youtube.com/watch?v=U93XFJJ1aXw ''Two Faced People''] (2025) – in Twothirdtonic[10], 37edo tuning
 
; [[Andrew Heathwaite]]
* [https://andrewheathwaite.bandcamp.com/track/shorn-brown "Shorn Brown"] from ''Newbeams'' (2012)
* [https://andrewheathwaite.bandcamp.com/track/jellybear "Jellybear"] from ''Newbeams'' (2012)
 
; [[Aaron Krister Johnson]]
* [http://www.akjmusic.com/audio/toccata_bianca_37edo.mp3 ''Toccata Bianca 37EDO'']{{dead link}}
 
; [[JUMBLE]]
* [https://www.youtube.com/watch?v=taT1DClJ2KM ''Tyrian and Gold''] (2024)
 
; [[User:Fitzgerald Lee|Fitzgerald Lee]]
* [https://www.youtube.com/watch?v=Nr0cUJcL4SU ''Bittersweet End''] (2025)
 
; [[Mandrake]]
* [https://www.youtube.com/watch?v=iL_4nRZBJDc ''What if?''] (2023)
 
; [[Claudi Meneghin]]
* [https://www.youtube.com/watch?v=7dU8eyGbt9I ''Deck The Halls''] (2022)
* [https://www.youtube.com/watch?v=HTAobydvC20 Marcello - Bach: Adagio from BWV 974, arranged for Oboe & Organ, tuned into 37edo] (2022)
* [https://www.youtube.com/watch?v=hpjZZXFM_Fk ''Little Fugue on Happy Birthday''] (2022) – in Passion, 37edo tuning
* [https://www.youtube.com/watch?v=SgHY3snZ5bs ''Fugue on an Original Theme''] (2022)
* [https://www.youtube.com/watch?v=AJ2sa-fRqbE Paradies, Toccata, Arranged for Organ and Tuned into 37edo] (2023)
 
; [[Micronaive]]
* [https://youtu.be/TMVRYLvg_cA No.27.50] (2022)
 
; [[Herman Miller]]
* ''[https://soundcloud.com/morphosyntax-1/luck-of-the-draw Luck of the Draw]'' (2023)
 
; [[Joseph Monzo]]
* [https://youtube.com/watch?v=QERRKsbbWUQ ''The Kog Sisters''] (2014)
* [https://www.youtube.com/watch?v=BfP8Ig94kE0 ''Afrikan Song''] (2016)
 
; [[Mundoworld]]
* ''Reckless Discredit'' (2021) [https://www.youtube.com/watch?v=ovgsjSoHOkg YouTube] · [https://mundoworld.bandcamp.com/track/reckless-discredit Bandcamp]
 
; [[Ray Perlner]]
* [https://www.youtube.com/watch?v=8reCr2nDGbw ''Porcupine Lullaby''] (2020) – in Porcupine, 37edo tuning
* [https://www.youtube.com/watch?v=j8C9ECvfyQM ''Fugue for Brass in 37EDO sssLsss "Dingoian"''] (2022) – in Porcupine[7], 37edo tuning
* [https://www.youtube.com/watch?v=_xfvNKUu8gY ''Fugue for Klezmer Band in 37EDO Porcupine<nowiki>[</nowiki>7<nowiki>]</nowiki> sssssLs "Lemurian"''] (2023) – in Porcupine[7], 37edo tuning
 
; [[Phanomium]]
* [https://www.youtube.com/watch?v=2otxZqUrvHc ''Elevated Floors''] (2025)
* [https://www.youtube.com/watch?v=BbexOU-9700 ''cat jam 37''] (2025)
 
; [[Togenom]]
* "Canals of Mars" from ''Xenharmonics, Vol. 5'' (2024) – [https://open.spotify.com/track/7v2dpCjiRKUfVVBZw8aWSf Spotify] |[https://togenom.bandcamp.com/track/canals-of-mars Bandcamp] | [https://www.youtube.com/watch?v=qPcEl_bifC0 YouTube]
 
; [[Uncreative Name]]
* [https://www.youtube.com/watch?v=rE9L56yZ1Kw ''Winter''] (2025)
 
; <nowiki>XENO*n*</nowiki>
* ''[https://www.youtube.com/watch?v=_m5u4VviMXw Galantean Drift]'' (2025)
 
== See also ==
* [[User:Unque/37edo Composition Theory|Unque's approach]]
 
== External links ==
* [http://tonalsoft.com/enc/number/37-edo/37edo.aspx 37-edo / 37-et / 37-tone equal-temperament] on [[Tonalsoft Encyclopedia]]


== Links ==
[[Category:Listen]]
* [http://tonalsoft.com/enc/number/37-edo/37edo.aspx 37edo at Tonalsoft]  [[Category:37edo| ]] <!-- main article -->
[[Category:Equal divisions of the octave]]
[[Category:Prime EDO]]
[[Category:Subgroup]]
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