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That 36edo contains 12edo as a subset makes it compatible with traditional instruments tuned to 12edo. By tuning one 12-edo instrument up or down about 33{{c}}, one can arrive at a 24-tone subset of 36edo (see, for instance, Jacob Barton's piece for two clarinets, [http://www.jacobbarton.net/2010/02/de-quinin-for-two-clarinets/ De-quinin']{{Dead link}}). Three 12edo instruments could play the entire gamut.
That 36edo contains 12edo as a subset makes it compatible with traditional instruments tuned to 12edo. By tuning one 12-edo instrument up or down about 33{{c}}, one can arrive at a 24-tone subset of 36edo (see, for instance, Jacob Barton's piece for two clarinets, [http://www.jacobbarton.net/2010/02/de-quinin-for-two-clarinets/ De-quinin']{{Dead link}}). Three 12edo instruments could play the entire gamut.


=== Harmonics ===
=== Odd harmonics ===
In the 5-limit, 36edo offers no improvement over 12edo, since its nearest approximation to [[5/4]] is the overly-familiar 400{{c}} major third. However, it excels at the 7th harmonic and intervals involving 7. As a 3 and 7 tuning, or in other words as a tuning for the 2.3.7 [[subgroup]], 36edo's single degree of around 33{{c}} serves a double function as [[49/48]], the so-called [https://en.wikipedia.org/wiki/Septimal_diesis Slendro diesis] of around 36{{c}}, and as [[64/63]], the so-called [https://en.wikipedia.org/wiki/Septimal_comma septimal comma] of around 27{{c}}. Meanwhile, its second degree functions as [[28/27]], the so-called [https://en.wikipedia.org/wiki/Septimal_third-tone Septimal third-tone] (since {{nowrap|28/27 {{=}} 49/48 × 64/63}}). The 2.3.7 subgroup can be extended to the [[k*N_subgroups|2*36 subgroup]] 2.3.25.7.55.13.17, and on this subgroup it tempers out the same commas as [[72edo]] does in the full [[17-limit]].
In the 5-limit, 36edo offers no improvement over 12edo, since its nearest approximation to [[5/4]] is the overly-familiar 400{{c}} major third. However, it excels at the 7th harmonic and intervals involving 7. As a 3 and 7 tuning, or in other words as a tuning for the 2.3.7 [[subgroup]], 36edo's single degree of around 33{{c}} serves a double function as [[49/48]], the so-called [https://en.wikipedia.org/wiki/Septimal_diesis Slendro diesis] of around 36{{c}}, and as [[64/63]], the so-called [https://en.wikipedia.org/wiki/Septimal_comma septimal comma] of around 27{{c}}. Meanwhile, its second degree functions as [[28/27]], the so-called [https://en.wikipedia.org/wiki/Septimal_third-tone Septimal third-tone] (since {{nowrap|28/27 {{=}} [[49/48]] × 64/63}}). The 2.3.7 subgroup can be extended to the [[k*N_subgroups|2*36 subgroup]] 2.3.25.7.55.13.17 (since the 25th harmonic is more accurate than the 5th harmonic, and the 55th harmonic is more accurate than the 5th and 11th harmonics), and on this subgroup it tempers out the same commas as [[72edo]] does in the full [[17-limit]].


36edo is also notable for being the smallest multiple of 12edo to be [[distinctly consistent]] in the [[7-odd-limit]] (that is, all 7-odd-limit just intervals are represented by different steps).
36edo is also notable for being the smallest multiple of 12edo to be [[distinctly consistent]] in the [[7-odd-limit]] (that is, all 7-odd-limit just intervals are represented by different steps).
{{harmonics in equal|36|prec=2}}
 
36edo has almost 50% relative error on harmonics 5/1 and 11/1. This means that whether one [[octave stretch|stretches]] or [[octave shrinking|compresses]] the octave, either way it will improve 36edo's approximations of [[JI]], but in opposite directions, as long as it is done by the right amount, as discussed in more detail in [[36edo#Octave_stretch_or_compression|octave stretch or compression]].
{{Harmonics in equal|36|intervals=odd|prec=2|columns=14}}
{{Harmonics in equal|36|intervals=odd|columns=14|prec=2|start=15|collapsed=true|title=Approximation of odd harmonics in 36edo (continued)}}


=== Mappings ===
=== Mappings ===
Line 21: Line 24:


=== Additional properties ===
=== Additional properties ===
36edo also offers a good approximation to the [[acoustic phi|acoustic golden ratio]], as 25\36. [[Heinz Bohlen]] proposed 36edo as a suitable temperament for approximating his 833-cents scale. The 13th harmonic (octave reduced) is so closely mapped on [[acoustic phi]] that 36edo could be treated as a 2.3.7.ϕ.17 temperament.
36edo offers a good approximation to the [[acoustic phi|acoustic golden ratio]], as 25\36. [[Heinz Bohlen]] proposed 36edo as a suitable temperament for approximating his 833-cents scale. The 13th harmonic (octave reduced) is so closely mapped on [[acoustic phi]] that 36edo could be treated as a 2.3.7.ϕ.17 temperament.
 
The [[edonoi]] scales of [[57edt]] and [[101ed7]] are almost exactly the same as 36edo. It is 36edo with the [[stretched octave|octave stretched]] by less than 1{{c}}. Its main usage is to optimise 36edo for use as a [[dual-n|dual-5]] tuning, while also making slight improvements to 3/1 and 7/1 as well. So if one intends to use both 36edo’s vals for 5/1 at once, 101ed7 may be worth considering.


Thanks to its sevenths, 36edo is an ideal tuning for its size for [[metallic harmony]].
Thanks to its sevenths, 36edo is an ideal tuning for its size for [[metallic harmony]].


=== Divisors ===
=== Subsets and supersets ===
36edo is the 7th [[highly composite EDO]], with subset edos {{EDOs|1, 2, 3, 4, 6, 9, 12, 18}}.
36edo is the 7th [[highly composite edo]], with subset edos {{EDOs| 2, 3, 4, 6, 9, 12, 18 }}. 72edo, which doubles it, provides correction for its approximated harmonics 5 and 11.


== Intervals  ==
== Intervals  ==
{| class="wikitable center-all right-2"
{| class="wikitable center-1 right-2 center-6 center-7 center-8"
|-
|-
! Degree
! #
! [[cent|Cents]]
! [[Cent]]s
! Approximate<br />ratios of 2.3.7<ref group="note" name="subg">{{sg|limit=2.3.7 or 2.3.7.13.17.19 subgroup}}</ref>
! Approximate<br>ratios of 2.3.7<ref group="note" name="subg">{{sg|limit=2.3.7 or 2.3.7.13.17.19 subgroup}}</ref>
! Additional ratios<br />of 2.3.7.13.17.19<ref group="note" name="subg" />
! Additional ratios<br>of 2.3.7.13.17.19<ref group="note" name="subg" />
! Additional ratios<br />of 2.3.5.7<ref group="note" name="incons">Inconsistent intervals are in ''italics.''</ref>
! Additional ratios<br>of 2.3.5.7<ref group="note" name="incons">Inconsistent intervals are in ''italics.''</ref>
! colspan="3" | [[Ups and Downs Notation|Ups and downs<br />notation]]
! colspan="3" | [[Ups and downs notation]]
([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and d2)
|-
|-
| 0
| 0
| 0.00
| 0.0
| 1/1
| 1/1
|  
|  
Line 50: Line 52:
|-
|-
| 1
| 1
| 33.33
| 33.3
| 64/63, [[49/48]]
| [[49/48]], [[64/63]]
|  
|  
|  
|  
Line 59: Line 61:
|-
|-
| 2
| 2
| 66.67
| 66.7
| [[28/27]]
| [[28/27]]
|  
|  
Line 68: Line 70:
|-
|-
| 3
| 3
| 100
| 100.0
| 256/243
| 256/243
| [[17/16]], [[18/17]]
| [[17/16]], [[18/17]]
Line 77: Line 79:
|-
|-
| 4
| 4
| 133.33
| 133.3
| 243/224
| 243/224
| [[14/13]], [[13/12]]
| [[14/13]], [[13/12]]
Line 86: Line 88:
|-
|-
| 5
| 5
| 166.67
| 166.7
| [[54/49]]
| [[54/49]]
|  
|  
Line 95: Line 97:
|-
|-
| 6
| 6
| 200
| 200.0
| [[9/8]]
| [[9/8]]
| [[19/17]]
| [[19/17]]
Line 104: Line 106:
|-
|-
| 7
| 7
| 233.33
| 233.3
| [[8/7]]
| [[8/7]]
|  
|  
Line 113: Line 115:
|-
|-
| 8
| 8
| 266.67
| 266.7
| [[7/6]]
| [[7/6]]
|  
|  
Line 122: Line 124:
|-
|-
| 9
| 9
| 300
| 300.0
| [[32/27]]
| [[32/27]]
| [[19/16]]
| [[19/16]]
Line 131: Line 133:
|-
|-
| 10
| 10
| 333.33
| 333.3
| 98/81
| 98/81
| [[17/14]]
| [[17/14]]
Line 140: Line 142:
|-
|-
| 11
| 11
| 366.67
| 366.7
| 243/196
| 243/196
| [[16/13]], [[26/21]], [[21/17]]
| [[16/13]], [[26/21]], [[21/17]]
Line 149: Line 151:
|-
|-
| 12
| 12
| 400
| 400.0
| [[81/64]]
| [[81/64]]
| [[24/19]]
| [[24/19]]
Line 158: Line 160:
|-
|-
| 13
| 13
| 433.33
| 433.3
| [[9/7]]
| [[9/7]]
|  
|  
Line 167: Line 169:
|-
|-
| 14
| 14
| 466.67
| 466.7
| [[64/49]], [[21/16]]
| [[64/49]], [[21/16]]
| [[17/13]]
| [[17/13]]
Line 176: Line 178:
|-
|-
| 15
| 15
| 500.00
| 500.0
| [[4/3]]
| [[4/3]]
|  
|  
Line 185: Line 187:
|-
|-
| 16
| 16
| 533.33
| 533.3
| [[49/36]]
| [[49/36]]
|  
|  
Line 194: Line 196:
|-
|-
| 17
| 17
| 566.67
| 566.7
|  
|  
| [[18/13]]
| [[18/13]]
Line 203: Line 205:
|-
|-
| 18
| 18
| 600
| 600.0
|  
|  
| [[17/12]], [[24/17]]
| [[17/12]], [[24/17]]
Line 212: Line 214:
|-
|-
| 19
| 19
| 633.33
| 633.3
|  
|  
| [[13/9]]
| [[13/9]]
Line 221: Line 223:
|-
|-
| 20
| 20
| 666.67
| 666.7
| 72/49
| 72/49
|  
|  
Line 230: Line 232:
|-
|-
| 21
| 21
| 700
| 700.0
| [[3/2]]
| [[3/2]]
|  
|  
Line 239: Line 241:
|-
|-
| 22
| 22
| 733.33
| 733.3
| [[49/32]], [[32/21]]
| [[49/32]], [[32/21]]
| [[26/17]]
| [[26/17]]
Line 248: Line 250:
|-
|-
| 23
| 23
| 766.67
| 766.7
| [[14/9]]
| [[14/9]]
|  
|  
Line 257: Line 259:
|-
|-
| 24
| 24
| 800
| 800.0
| [[128/81]]
| [[128/81]]
| [[19/12]]
| [[19/12]]
Line 266: Line 268:
|-
|-
| 25
| 25
| 833.33
| 833.3
| 392/243
| 392/243
| [[13/8]], [[21/13]], [[34/21]]
| [[13/8]], [[21/13]], [[34/21]]
Line 275: Line 277:
|-
|-
| 26
| 26
| 866.67
| 866.7
| 81/49
| 81/49
| [[28/17]]
| [[28/17]]
Line 284: Line 286:
|-
|-
| 27
| 27
| 900
| 900.0
| [[27/16]]
| [[27/16]]
| [[32/19]]
| [[32/19]]
Line 293: Line 295:
|-
|-
| 28
| 28
| 933.33
| 933.3
| [[12/7]]
| [[12/7]]
|  
|  
Line 302: Line 304:
|-
|-
| 29
| 29
| 966.67
| 966.7
| [[7/4]]
| [[7/4]]
|  
|  
Line 311: Line 313:
|-
|-
| 30
| 30
| 1000
| 1000.0
| [[16/9]]
| [[16/9]]
| [[34/19]]
| [[34/19]]
Line 320: Line 322:
|-
|-
| 31
| 31
| 1033.33
| 1033.3
| 49/27
| 49/27
|  
|  
Line 329: Line 331:
|-
|-
| 32
| 32
| 1066.67
| 1066.7
| 448/243
| 448/243
| [[13/7]], [[24/13]]
| [[13/7]], [[24/13]]
Line 338: Line 340:
|-
|-
| 33
| 33
| 1100
| 1100.0
| [[243/128]]
| [[243/128]]
| [[32/17]], [[17/9]]
| [[32/17]], [[17/9]]
Line 347: Line 349:
|-
|-
| 34
| 34
| 1133.33
| 1133.3
| [[27/14]]
| [[27/14]]
|  
|  
Line 356: Line 358:
|-
|-
| 35
| 35
| 1166.67
| 1166.7
| 63/32, 96/49
| 63/32, 96/49
|  
|  
Line 365: Line 367:
|-
|-
| 36
| 36
| 1200.00
| 1200.0
| 2/1
| 2/1
|  
|  
Line 373: Line 375:
| D
| D
|}
|}
<references group="note" />


Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Ups and Downs Notation#Chords and Chord Progressions|Ups and Downs Notation - Chords and Chord Progressions]].
Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Ups and downs notation #Chords and chord progressions]].


== Notation ==
== Notation ==
Line 427: Line 430:


== Approximation to JI ==
== Approximation to JI ==
[[File:36ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 29-limit intervals approximated in 36edo]]
[[File:36ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 36edo]]
=== Interval mappings ===
{{Q-odd-limit intervals|36}}
{{Q-odd-limit intervals|35.98|apx=val|header=none|tag=none|title=15-odd-limit intervals by 36e val mapping}}


=== 3-limit (Pythagorean) approximations (same as 12edo): ===
=== 3-limit (Pythagorean) approximations (same as 12edo): ===
Line 487: Line 487:


63/32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents.
63/32 = 1172.736... cents; 35 degrees of 36edo = 1166.666... cents.
=== 15-odd-limit approximations ===
{{Q-odd-limit intervals|36}}
{{Q-odd-limit intervals|35.98|apx=val|header=none|tag=none|title=15-odd-limit intervals by 36e val mapping}}


{{clear}}
{{clear}}
=== Zeta peak index ===
{{ZPI
| zpi = 155
| steps = 35.9823877000425
| step size = 33.3496490006021
| tempered height = 6.027497
| pure height = 5.885059
| integral = 1.028887
| gap = 14.706508
| octave = 1200.58736402167
| consistent = 8
| distinct = 8
}}


== Regular temperament properties ==
== Regular temperament properties ==
Line 517: Line 507:
|-
|-
| 2.3.7
| 2.3.7
| 1029/1024, 177147/175616
| 1029/1024, 118098/117649
| {{mapping| 36 57 101 }}
| {{Mapping| 36 57 101 }}
| +0.67
| +0.67
| 0.51
| 0.51
Line 524: Line 514:
|-
|-
| 2.3.7.13
| 2.3.7.13
| 729/728, 1029/1024, 3159/3136
| 169/168, 729/728, 1029/1024
| {{mapping| 36 57 101 133 }}
| {{Mapping| 36 57 101 133 }}
| +0.99
| +0.99
| 0.71
| 0.71
Line 531: Line 521:
|-
|-
| 2.3.7.13.17
| 2.3.7.13.17
| 273/272, 729/728, 833/832, 3159/3136
| 169/168, 273/272, 289/288, 729/728
| {{mapping| 36 57 101 133 147 }}
| {{Mapping| 36 57 101 133 147 }}
| +1.03
| +1.03
| 0.64
| 0.64
Line 538: Line 528:
|-
|-
| 2.3.7.13.17.19
| 2.3.7.13.17.19
| 153/152, 273/272, 442/441, 729/728, 1729/1728
| 153/152, 169/168, 273/272, 289/288, 343/342
| {{mapping| 36 57 101 133 147 153 }}
| {{Mapping| 36 57 101 133 147 153 }}
| +0.76
| +0.76
| 0.84
| 0.84
Line 546: Line 536:
| 2.3.5.7
| 2.3.5.7
| 81/80, 128/125, 686/675
| 81/80, 128/125, 686/675
| {{mapping| 36 57 84 101 }}
| {{Mapping| 36 57 84 101 }}
| −0.98
| −0.98
| 2.87
| 2.87
| 8.63
| 8.63
|-
|-
| 2.3.5.7.13
| 2.3.5.7.11
| 81/80, 91/90, 128/125, 169/168
| 56/55, 81/80, 128/125, 540/539
| {{mapping| 36 57 84 101 133 }}
| {{Mapping| 36 57 84 101 125 }}
| −0.40
| −1.67
| 2.82
| 2.92
| 8.47
| 8.76
|-
|-
| 2.3.5.7.13.17
| 2.3.5.7.11.13
| 51/50, 81/80, 91/90, 128/125, 196/195
| 56/55, 78/77, 81/80, 91/90, 128/125
| {{mapping| 36 57 84 101 133 147 }}
| {{Mapping| 36 57 84 101 125 133 }}
| −0.13
| −1.07
| 2.65
| 2.98
| 7.94
| 8.96
|-
|-
| 2.3.5.7.13.17.19
| 2.3.5.7.11.13.17
| 51/50, 76/75, 81/80, 91/90, 96/95, 196/195
| 51/50, 56/55, 78/77, 81/80, 91/90, 128/125
| {{mapping| 36 57 84 101 133 147 153 }}
| {{Mapping| 36 57 84 101 125 133 147 }}
| −0.19
| −0.75
| 2.45
| 2.88
| 7.36
| 8.63
|-
| 2.3.5.7.11.13.17.19
| 51/50, 56/55, 76/75, 78/77, 81/80, 91/90, 96/95
| {{Mapping| 36 57 84 101 125 133 147 153 }}
| −0.73
| 2.69
| 8.08
|}
|}


=== Uniform maps ===
=== Uniform maps ===
{{Uniform map|edo=36}}
{{Uniform map|min=35.8|max=36.2}}


=== Commas ===
=== Commas ===
Line 903: Line 900:
| Go comma
| Go comma
|}
|}
<references group="note" />


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
Line 1,016: Line 1,014:
|}
|}
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
== Octave stretch or compression ==
What follows is a comparison of stretched- and compressed-octave 36edo tunings.
; [[21edf]]
* Step size: 33.426{{c}}, octave size: 1203.351{{c}}
Stretching the octave of 36edo by a little over 3{{c}} results in improved primes 5, 11, and 13, but worse primes 2, 3, and 7. This approximates all harmonics up to 16 within 13.4{{c}}. The tuning 21edf does this.
{{Harmonics in equal|21|3|2|columns=11|collapsed=true}}
{{Harmonics in equal|21|3|2|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 21edf (continued)}}
; [[57edt]]
* Step size: 33.368{{c}}, octave size: 1201.235{{c}}
If one intends to use both 36edo's vals for 5/1 at once, stretching the octave of 36edo by about 1{{c}} optimises 36edo for that dual-5 usage, while also making slight improvements to primes 3, 7, 11, and 13. This approximates all harmonics up to 16 within 16.6{{c}}. Several almost-identical tunings do this: 57edt, [[93ed6]], [[101ed7]], [[zpi|155zpi]], and the 2.3.7.13-subgroup [[TE]] and [[WE]] tunings of 36et.
{{Harmonics in equal|57|3|1|columns=11|collapsed=true}}
{{Harmonics in equal|57|3|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 57edt (continued)}}
; 36edo
* Step size: 33.333{{c}}, octave size: 1200.000{{c}}
Pure-octaves 36edo approximates all harmonics up to 16 within 15.3{{c}}.
{{Harmonics in equal|36|2|1|intervals=integer|columns=11|collapsed=true}}
{{Harmonics in equal|36|2|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 36edo (continued)}}
; [[TE|36et, 13-limit TE tuning]]
* Step size: 33.304{{c}}, octave size: 1198.929{{c}}
Compressing the octave of 36edo by about 2{{c}} results in much improved primes 5 and 11, but much worse primes 7 and 13. This approximates all harmonics up to 16 within 11.6{{c}}. The 11- and 13-limit TE tunings of 36et both do this, as do their respective WE tunings.
{{Harmonics in cet|33.303596|columns=11|collapsed=true|title=Approximation of harmonics in 13-limit TE tuning of 36et}}
{{Harmonics in cet|33.303596|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 13-limit TE tuning of 36et (continued)}}
{| class="wikitable sortable center-all mw-collapsible mw-collapsed"
|+ style="white-space: nowrap;" | Comparison of stretched and compressed tunings
|-
! rowspan="2" | Tuning !! rowspan="2" | Octave size<br>(cents) !! colspan="6" | Prime error (cents)
! rowspan="2" | Mapping of primes 2–13 (steps)
|-
! 2 !! 3 !! 5 !! 7 !! 11 !! 13
|-
! 21edf
| 1203.351
| +3.3 || +3.3 || −12.0 || +7.2 || −6.5 || +5.1
| 36, 57, 83, 101, 124, 133
|-
! 57edt
| 1201.235
| +1.2 || 0.0 || +16.6 || +1.3 || −13.7 || −2.6
| 36, 57, 84, 101, 124, 133
|-
! 155zpi
| 1200.587
| +0.6 || −1.0 || +15.1 || −0.5 || −16.0|| −5.0
| 36, 57, 83, 101, 124, 133
|-
! 36edo
| '''1200.000'''
| '''0.0''' || '''−2.0''' || '''+13.7''' || '''−2.2''' || '''+15.3''' || '''−7.2'''
| '''36, 57, 84, 101, 125, 133'''
|-
! 13-limit TE
| 1198.929
| −1.1 || −3.7 || +11.2 || −5.2 || +11.6 || −11.1
| 36, 57, 84, 101, 125, 133
|-
! 11-limit TE
| 1198.330
| −1.7 || −4.6 || +9.8 || −6.8 || +9.5 || −13.4
| 36, 57, 84, 101, 125, 133
|}


== Scales ==
== Scales ==
Line 1,021: Line 1,085:


'''Catler'''
'''Catler'''
* [[Lost spirit]] (approximated from [[Meantone]] in [[31edo]]): '''9 6 2 4 7 2 6'''
* [[Lost spirit]]{{idio}} (approximated from [[Meantone]] in [[31edo]]): '''9 6 2 4 7 2 6'''
 


'''Hedgehog'''
'''Hedgehog'''
* [[Hedgehog]][14] MOS: '''3 2 3 2 3 2 3 3 2 3 2 3 2 3'''
* [[Hedgehog]][14] MOS: '''3 2 3 2 3 2 3 3 2 3 2 3 2 3'''
* Palace (subset of Hedgehog[14]): '''5 5 5 6 5 5 5'''
* Palace{{idio}} (subset of Hedgehog[14]): '''5 5 5 6 5 5 5'''


[[833 Cent Golden Scale (Bohlen)]]: '''3 4 4 3 4 4 3'''
[[833 Cent Golden Scale (Bohlen)]]: '''3 4 4 3 4 4 3'''
Line 1,049: Line 1,112:
; [[Ivan Bratt]]
; [[Ivan Bratt]]
* [http://micro.soonlabel.com/gene_ward_smith/36edo/boomers.mp3 ''Boomers'']
* [http://micro.soonlabel.com/gene_ward_smith/36edo/boomers.mp3 ''Boomers'']
; [[Bryan Deister]]
* [https://www.youtube.com/watch?v=psvrsa10-Wo ''36edo jam''] (2025)


; [[E8 Heterotic]]
; [[E8 Heterotic]]
Line 1,070: Line 1,136:
; [[NullPointerException Music]]
; [[NullPointerException Music]]
* [https://www.youtube.com/watch?v=i5Pa5R7PKu4 ''Jungle Hillocks''] (2020)
* [https://www.youtube.com/watch?v=i5Pa5R7PKu4 ''Jungle Hillocks''] (2020)
; [[Chris Orphal]]
* [https://www.youtube.com/watch?v=qbOOzC4360M ''Vademecum - Vadetecum (36-EDO) - Perf. New Music New Mexico''] (2023) (Saxophone: Edwin Anthony; Horn: Samuel Lutz; Trumpet: Doug Falk; Guitar: Carlos Arellano; Guitar tuned -31¢: Chris Orphal; Piano: Axel Retif)


; {{W|Henri Pousseur}}
; {{W|Henri Pousseur}}
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; [[Stephen Weigel]]
; [[Stephen Weigel]]
* [https://soundcloud.com/overtoneshock/exponentially-more-lost-and-forgetful-36-edo ''Exponentially More Lost and Forgetful''] (2017) played by flautists Orlando Cela and Wei Zhao
* [https://soundcloud.com/overtoneshock/exponentially-more-lost-and-forgetful-36-edo ''Exponentially More Lost and Forgetful''] (2017) played by flautists Orlando Cela and Wei Zhao
== Notes ==
<references group="note" />


[[Category:Listen]]
[[Category:Listen]]
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