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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|33}}
{{ED intro}}
 
== Theory ==
== Theory ==
33edo is not especially good at representing all rational intervals in the [[7-limit]], but it does very well on the 7-limit [[k*N_subgroups|3*33 subgroup]] 2.27.15.21.11.13. On this subgroup it tunes things to the same tuning as [[99edo]], and as a subgroup patent val it tempers out the same commas. The 99 equal temperaments hemififths, amity, parakleismic, hemiwuerschmidt, ennealimmal and hendecatonic can be reduced to this subgroup and give various possibilities for MOS scales, etc. In particular, the [[Chromatic_pairs#Terrain|terrain]] subgroup temperament can be tuned via the 5\33 generator. The full system of harmony provides the optimal patent val for [[Mint_temperaments#Slurpee|slurpee temperament]] in the 5, 7, 11 and 13 limits.
=== Structural properties ===
While relatively uncommon, 33edo is actually quite an interesting system. As a multiple of [[11edo]], it approximates the 7th and 11th harmonics via [[orgone]] temperament (see [[26edo]]). 33edo also tunes the 13th harmonic slightly flat, allowing it to approximate the 21st and 17th harmonics as well, having a [[3L 7s]] with {{nowrap|L {{=}} 4|s {{=}} 3}}. The 33c ({{val| 33 52 76 93 }}) and 33cd ({{val| 33 52 76 92 }}) mappings temper out [[81/80]] and can be used to represent [[1/2-comma meantone]], a "[[flattertone]]" tuning where the whole tone is [[10/9]] in size. Indeed, the perfect fifth is tuned about 11{{c}} flat, and two stacked fifths fall only 0.6{{c}} flat of 10/9. Leaving the scale be would result in the standard diatonic scale ([[5L 2s]]) having minor seconds of four steps and whole tones of five steps. This also results in common practice minor and major chords becoming more supraminor and submajor in character, making everything sound almost neutral in quality. The 33cd val also tempers out [[49/48]], which along with the tempering of 81/80 means it supports [[godzilla]].


While relatively uncommon, 33edo is actually quite an interesting system. As a multiple of [[11edo]], it approximates the 7th and 11th harmonics via [[orgone]] temperament (see [[26edo]]). 33edo also tunes the 13th harmonic slightly flat, allowing it to approximate the 21st and 17th harmonics as well, having a [[3L 7s|3L 7s]] with {{nowrap|L {{=}} 4|s {{=}} 3}}. The 33c mapping (which has val {{val| 33 52 76 }}) tempers out [[81/80]] and can be used to represent [[1/2-comma meantone]], a [[Meantone family#Flattertone|"flattertone"]] tuning where the whole tone is 10/9 in size. Indeed, the perfect fifth is tuned about 11 cents flat, and two stacked fifths fall only 0.6 cents flat of 10/9. Leaving the scale be would result in the standard diatonic scale ([[5L 2s]]) having minor seconds of four steps and whole tones of five steps. This also results in common practice minor and major chords becoming more supraminor and submajor in character, making everything sound almost neutral in quality.
Besides the 33cd val, one may also consider the patent val. This val maps 5/4 and 7/4 much more accurately (though still somewhat questionable), but 6/5 and 7/6, and especially 10/9 and 9/7 are much more damaged. Notable commas this val tempers out include 128/125, 36/35, and 225/224, supporting [[august]].


Instead of the flat 19\33 fifth you may use the sharp fifth of 20\33, over 25 cents sharp. Two of these lead to a 9/8 of 7\33, which is about 22/19 in size and may be counted as a small third. Between the flat 5\33 version of 9/8 and the sharp 7\33 version there is, of course, a 6\33 = 2\11 [[11edo]] interval of 218 cents. Now 6\33 + 5\33 = 11\33 = 1\3 of an octave, or 400 cents, the same major third as 12edo. Also, we have both a 327 minor third from 9\33 = 3\11, the same as the [[22edo]] minor third, and a flatter 8\33 third of 291 cents, which if you like could also be called a flat 19th harmonic, but much more accurately a 13/11 sharp by 1.7 cents (if you use the patent val it is an extremely inaccurate 6/5). Another talent it has is that 7/5 is tuned quite accurately by 16\33, and we may put two 8\33 versions of 13/11 together to produce the [[cuthbert triad]]. The 8\33 generator, with MOS of size 5, 9 and 13, gives plenty of scope for these, as well as the 11, 13 and 19 harmonics (taking the generator as a 19/16) which are relatively well in tune.
33edo maps both the [[4:5:6]] and [[6:7:8]] chords inconsistently, with the third harmonic being about a third of a step flat and the 5th and 7th harmonics being about a third of a step sharp. It is thus reasonable to use the second-best approximation of [[3/1|3]], [[5/1|5]], or [[7/1|7]] in either chord, but in any case, the worst of the three intervals in the chord is detuned by over 22 cents, meaning 33edo is near-maximally bad for its size for tonal harmony. From this reasoning, 33edo's triple, [[99edo]], would be a very strong 7-limit system, and it indeed is.


33edo contains an accurate approximation of the Bohlen-Pierce scale with 4\33 near 1\[[13edt]].
Instead of the flat 19-step fifth you may use the 20-step sharp fifth, over 25{{c}} sharp. Two of these lead to a 9/8 of 7\33, which is about 22/19 in size and may be counted as a small third. Between the flat 5\33 version of 9/8 and the sharp 7\33 version there is, of course, a {{nowrap|6\33 {{=}} 2\[[11edo|11]]}} interval of 218{{c}}. Together, these add up to {{nowrap|6\33 + 5\33 {{=}} 11\33 {{=}} 1\3}}, or 400{{c}}, the same major third as 12edo. We also have both a 327{{c}} minor third ({{nowrap|9\33 {{=}} 6\22 {{=}} 3\11}}), the same as that of [[22edo]], and a flatter 8\33 third of 291{{c}}, which if you like could also be called a flat 19th harmonic, but much more accurately a 13/11 sharp by 1.7{{c}} (if you use the patent val it is an extremely inaccurate 6/5). Another talent it has is that 7/5 is tuned quite accurately by 16\33, and we may put two 8\33 versions of 13/11 together to produce the [[cuthbert triad]]. The 8\33 generator, with MOS of size 5, 9, and 13, gives plenty of scope for these, as well as the 11th, 13th, and 19th harmonics (taking the generator as a 19/16) which are relatively well in tune.


So while it might not be the most harmonically accurate temperament, it's structurally quite interesting, and it approximates the full 19-limit consort in it's way. You could even say it tunes the 23rd and 29th harmonics ten cents flat if you were so inclined; as well as getting within two cents of the 37th.
33edo contains an accurate approximation of the [[Bohlen–Pierce]] scale with 4\33 near [[13edt|1\13edt]].


Other notable 33edo scales are [[diasem]] with L:m:s = 5:3:1 and [[5L 4s]] with L:s = 5:2. This step ratio for 5L 4s is great for its semitone size of 72.7¢.
Other notable 33edo scales are [[diasem]] with {{nowrap|L:m:s {{=}} 5:3:1}} and [[5L 4s]] with {{nowrap|L:s {{=}} 5:2}}. This step ratio for 5L 4s is great for its semitone size of 72.7{{c}}.
 
=== Odd harmonics ===
{{Harmonics in equal|33}}


33 is also the number of years in the Iranian calendar's leap cycle, where leap year is inserted once every 4 or 5 years. This corresponds to the [[1L 7s]] with the step ratio of 5:4.
33edo is not especially good at representing all rational intervals in the [[7-limit]], but it does very well on the 7-limit [[k*N subgroups|3*33 subgroup]] 2.27.15.21.11.13. On this subgroup it tunes things to the same tuning as [[99edo]], and as a subgroup patent val it tempers out the same commas. The 99 equal temperaments hemififths, amity, parakleismic, hemiwuerschmidt, ennealimmal and hendecatonic can be reduced to this subgroup and give various possibilities for MOS scales, etc. In particular, the [[terrain]] 2.7/5.9/5 subgroup temperament can be tuned via the 5\33 generator. The full system of harmony provides the optimal patent val for [[slurpee]] temperament in the 5-, 7-, 11-, and 13-limits.


Because the chromatic semitone in 33edo is 1 step, 33edo can be notated using only naturals, sharps, and flats. However, many key signatures will require double- and triple-sharps and flats, making notation very unwieldy in distant keys.
While it might not be the most harmonically accurate temperament, it is structurally quite interesting, and it approximates the full 19-limit consort in its own way. You could even say it tunes the 23rd and 29th harmonics ten cents flat if you were so inclined; as well as getting within two cents of the 37th.


=== Harmonics ===
=== Miscellany ===
{{Harmonics in equal|33}}
33 is also the number of years in the Iranian calendar's leap cycle, where leap year is inserted once every 4 or 5 years. This corresponds to the [[1L 7s]] with the step ratio of 5:4.


== Intervals ==
== Intervals ==
Line 27: Line 32:
! ET
! ET
! colspan="2" | Just
! colspan="2" | Just
! rowspan="2" | Difference <br> (ET minus Just)
! rowspan="2" | Difference<br>(ET minus Just)
! rowspan="2" colspan="3" |Extended Pythagorean Notation
! rowspan="2" colspan="3" | Extended Pythagorean notation
|-
|-
! Cents
! Cents
Line 35: Line 40:
|-
|-
| 0
| 0
| 0¢
| 0
| [[1/1]]
| [[1/1]]
| 0
| 0
Line 47: Line 52:
| [[48/47]]
| [[48/47]]
| 36.448
| 36.448
| &minus;0.085
| −0.085
| Augmented Unison
| Augmented Unison
| A1
| A1
Line 56: Line 61:
| [[24/23]]
| [[24/23]]
| 73.681
| 73.681
| &minus;0.953
| −0.953
| Double-aug 1sn
| Double-aug 1sn
| AA1
| AA1
Line 65: Line 70:
| [[16/15]]
| [[16/15]]
| 111.731
| 111.731
| &minus;2.640
| −2.640
| Diminished 2nd
| Diminished 2nd
| d2
| d2
Line 74: Line 79:
| [[12/11]]
| [[12/11]]
| 150.637
| 150.637
| &minus;5.183
| −5.183
| Minor 2nd
| Minor 2nd
| m2
| m2
Line 83: Line 88:
| [[10/9]]
| [[10/9]]
| 182.404
| 182.404
| &minus;0.586
| −0.586
| Major 2nd
| Major 2nd
| M2
| M2
Line 173: Line 178:
| [[11/8]]
| [[11/8]]
| 551.318
| 551.318
| &minus;5.863
| −5.863
| Augmented 4th
| Augmented 4th
| A4
| A4
Line 182: Line 187:
| [[7/5]]
| [[7/5]]
| 582.513
| 582.513
| &minus;0.694
| −0.694
| Double-aug 4th
| Double-aug 4th
| AA4
| AA4
Line 208: Line 213:
| 690.909
| 690.909
| [[3/2]]
| [[3/2]]
| 701.9550
| 701.955
| &minus;11.046
| −11.046
| Perfect 5th
| Perfect 5th
| P5
| P5
Line 226: Line 231:
| 763.636
| 763.636
| [[14/9]]
| [[14/9]]
| 764.9159
| 764.916
| &minus;1.280
| −1.280
| Double-aug 5th
| Double-aug 5th
| AA5
| AA5
Line 236: Line 241:
| [[8/5]]
| [[8/5]]
| 813.686
| 813.686
| &minus;13.686
| −13.686
| Double-dim 6th
| Double-dim 6th
| d6
| d6
Line 244: Line 249:
| 836.364
| 836.364
| [[13/8]]
| [[13/8]]
| 840.5276
| 840.528
| &minus;4.164
| −4.164
| Minor 6th
| Minor 6th
| m6
| m6
Line 254: Line 259:
| [[5/3]]
| [[5/3]]
| 884.359
| 884.359
| &minus;11.631
| −11.631
| Major 6th
| Major 6th
| M6
| M6
Line 262: Line 267:
| 909.091
| 909.091
| [[22/13]]
| [[22/13]]
| 910.7903
| 910.790
| &minus;1.699
| −1.699
| Augmented 6th
| Augmented 6th
| A6
| A6
Line 281: Line 286:
| [[30/17]]
| [[30/17]]
| 983.313
| 983.313
| &minus;1.495
| −1.495
| Diminished 7th
| Diminished 7th
| d7
| d7
Line 317: Line 322:
| [[23/12]]
| [[23/12]]
| 1126.319
| 1126.319
| &minus;0.953
| −0.953
| Double-dim 8ve
| Double-dim 8ve
| dd8
| dd8
Line 341: Line 346:
|}
|}


== Nearby equal temperaments ==
== Notation ==
[[File:33edo.png|alt=33edo.png|966x199px|33edo.png]]
=== Standard notation ===
Because the [[chromatic semitone]] in 33edo is 1 step, 33edo can be notated using only naturals, sharps, and flats. However, many key signatures will require double- and triple-sharps and flats, which means that notation in distant keys can be very unwieldy.
 
{{sharpness-sharp1}}
 
=== Sagittal notation ===
This notation uses the same sagittal sequence as EDOs [[23edo#Sagittal notation|23]] and [[28edo#Sagittal notation|28]].
 
<imagemap>
File:33-EDO_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 399 0 559 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 399 106 [[Fractional_3-limit_notation#Bad-fifths_limma-fraction_notation | limma-fraction notation]]
default [[File:33-EDO_Sagittal.svg]]
</imagemap>
 
== Approximation to JI ==
{{Q-odd-limit intervals}}
{{Q-odd-limit intervals|32.87|apx=val|header=none|tag=none|title=15-odd-limit intervals by 33cd val mapping}}


== Regular temperament properties ==
== Regular temperament properties ==
Line 365: Line 389:
| 2.3.5
| 2.3.5
| 81/80, 1171875/1048576
| 81/80, 1171875/1048576
| {{mapping| 33 52 76 }} (33cd)
| {{mapping| 33 52 76 }} (33c)
| +5.59
| +5.59
| 4.13
| 4.13
Line 460: Line 484:
| 509.09<br>(98.09)
| 509.09<br>(98.09)
| 4/3<br>(16/15)
| 4/3<br>(16/15)
| [[August]] (33cd)
| [[August]] (33)
|}
|}
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
 
=== Uniform maps ===
{{Uniform map|min=32.8|max=33.2}}
 
== Octave stretch or compression ==
33edo is nearby to many other [[equal tuning]]s which can act as stretched or compressed versions of 33edo, improving some of its harmonics at the expense of others.
 
Useful options include:
* Stretched: [[ed5|76ed5]], [[ed7|92ed7]], [[52edt]], [[zpi|138zpi]]
* Compressed: [[ed7|93ed7]], [[ed5|77ed5]], [[equal tuning|115ed11]]
 
[[File:33edo.png|alt=33edo.png|966x199px|33edo.png]]


== Scales ==
== Scales ==
Brightest mode is listed except where noted.
* {{main|List of MOS scales in {{ROOTPAGENAME}}}}
* Deeptone[7], 5 5 5 4 5 5 4 (diatonic)
* Approximate [[12afdo]], 4 3 4 3 3 2 3 2 3 2 2 2
* Deeptone[12], 4 4 1 4 1 4 4 1 4 1 4 1 (chromatic)
* August[12], 3 2 3 3 3 2 3 3 3 2 3 3
* Deeptone[19], 3 1 3 1 1 3 1 1 3 1 3 1 1 3 1 1 3 1 1 (enharmonic)
* [[Diasem]], 5 3 5 1 5 3 5 1 5 (*right-handed)
* Diasem, 5 1 5 3 5 1 5 3 5 (*left-handed)
* [[Diaslen]] (4sR), 1 5 1 5 2 5 1 5 1 5 2
* Diaslen (4sL), 2 5 1 5 1 5 2 5 1 5 1
* Diaslen (4sC), 1 5 2 5 1 5 1 5 2 5 1
* Elevenplus, 3 3 3 3 3 3 1 2 3 3 3 3 (approximated from [[22edo]])
* Flattertone[7], 5 5 4 5 5 5 4 (diatonic)
** Fun 5-tone subset of Flattertone[7], 9 5 5 4 10
* Flattertone[12], 4 1 4 1 4 1 4 4 1 4 1 4 (chromatic)
* Flattertone[19], 3 1 3 1 1 3 1 1 3 1 3 1 1 3 1 1 3 1 1 (enharmonic)
* Iranian Calendar, 5 4 4 4 4 4 4 4
* Semiquartal, 5 5 2 5 2 5 2 5 2
* Semiquartal, 5 5 2 5 2 5 2 5 2
* Semiquartal[14], 3 2 3 2 2 3 2 2 3 2 2
* Semiquartal[14], 3 2 3 2 2 3 2 2 3 2 2
* Iranian Calendar, 5 4 4 4 4 4 4 4
* Blended slurpee{{idio}}, 3 1 2 2 3 3 5 3 3 2 2 4 ([[modmos]] of slurpee[12])
* [[Diasem]], 5 3 5 1 5 3 5 1 5 (*right-handed)
{{Todo|expand scales list}}
* Diasem, 5 1 5 3 5 1 5 3 5 (*left-handed)
* [[Diamech]] (4sR), 1 5 1 5 2 5 1 5 1 5 2
* Diamech (4sL), 2 5 1 5 1 5 2 5 1 5 1
* Diamech (4sC), 1 5 2 5 1 5 1 5 2 5 1


== Delta-rational harmony ==
== Delta-rational harmony ==
The tables below show chords that approximate 3-integer-limit [[delta-rational]] chords with least-squares error less than 0.001.
The tables below show chords that approximate 3-integer-limit [[delta-rational]] chords with least-squares error less than 0.001.
=== Fully delta-rational triads ===
=== Fully delta-rational triads ===
{| class="mw-collapsible mw-collapsed class="wikitable sortable"
{| class="mw-collapsible mw-collapsed class="wikitable sortable"
!|Steps
!|Delta signature
!|Least-squares error
|-
|-
|0,1,2
! Steps
! Delta signature
! Least-squares error
|-
| 0,1,2
| +1+1
| +1+1
|0.00021
| 0.00021
|-
|-
|0,1,3
| 0,1,3
| +1+2
| +1+2
|0.00048
| 0.00048
|-
|-
|0,1,4
| 0,1,4
| +1+3
| +1+3
|0.00078
| 0.00078
|-
|-
|0,2,3
| 0,2,3
| +2+1
| +2+1
|0.00039
| 0.00039
|-
|-
|0,2,4
| 0,2,4
| +1+1
| +1+1
|0.00087
| 0.00087
|-
|-
|0,3,4
| 0,3,4
| +3+1
| +3+1
|0.00056
| 0.00056
|-
|-
|0,3,11
| 0,3,11
| +1+3
| +1+3
|0.00007
| 0.00007
|-
|-
|0,5,8
| 0,5,8
| +3+2
| +3+2
|0.00084
| 0.00084
|-
|-
|0,8,18
| 0,8,18
| +2+3
| +2+3
|0.00082
| 0.00082
|-
|-
|0,9,20
| 0,9,20
| +2+3
| +2+3
|0.00076
| 0.00076
|-
|-
|0,12,17
| 0,12,17
| +2+1
| +2+1
|0.00048
| 0.00048
|-
|-
|0,13,20
| 0,13,20
| +3+2
| +3+2
|0.00063
| 0.00063
|-
|-
|0,15,21
| 0,15,21
| +2+1
| +2+1
|0.00063
| 0.00063
|-
|-
|0,16,28
| 0,16,28
| +1+1
| +1+1
|0.00082
| 0.00082
|-
|-
|0,18,25
| 0,18,25
| +2+1
| +2+1
|0.00081
| 0.00081
|-
|-
|0,18,31
| 0,18,31
| +1+1
| +1+1
|0.00058
| 0.00058
|-
|-
|0,19,24
| 0,19,24
| +3+1
| +3+1
|0.00095
| 0.00095
|}
|}


=== Partially delta-rational tetrads ===
=== Partially delta-rational tetrads ===
{| class="mw-collapsible mw-collapsed class="wikitable sortable"
{| class="mw-collapsible mw-collapsed class="wikitable sortable"
!|Steps
!|Delta signature
!|Least-squares error
|-
|-
|(0,1,2,3)
! Steps
|[1, 1]
! Delta signature
|0.00053
! Least-squares error
|-
| 0,1,2,3
| +1+?+1
| 0.00053
|-
|-
|(0,1,2,4)
| 0,1,2,4
|[1, 2]
| +1+?+2
|0.00094
| 0.00094
|-
|-
|(0,1,3,4)
| 0,1,3,4
|[1, 1]
| +1+?+1
|0.00080
| 0.00080
|-
|-
|(0,1,17,18)
| 0,1,17,18
|[2, 3]
| +2+?+3
|0.00073
| 0.00073
|-
|-
|(0,1,17,19)
| 0,1,17,19
|[1, 3]
| +1+?+3
|0.00071
| 0.00071
|-
|-
|(0,1,18,19)
| 0,1,18,19
|[2, 3]
| +2+?+3
|0.00042
| 0.00042
|-
|-
|(0,1,18,20)
| 0,1,18,20
|[1, 3]
| +1+?+3
|0.00032
| 0.00032
|-
|-
|(0,1,19,20)
| 0,1,19,20
|[2, 3]
| +2+?+3
|0.00010
| 0.00010
|-
|-
|(0,1,19,21)
| 0,1,19,21
|[1, 3]
| +1+?+3
|0.00008
| 0.00008
|-
|-
|(0,1,20,21)
| 0,1,20,21
|[2, 3]
| +2+?+3
|0.00023
| 0.00023
|-
|-
|(0,1,20,22)
| 0,1,20,22
|[1, 3]
| +1+?+3
|0.00049
| 0.00049
|-
|-
|(0,1,21,22)
| 0,1,21,22
|[2, 3]
| +2+?+3
|0.00056
| 0.00056
|-
|-
|(0,1,21,23)
| 0,1,21,23
|[1, 3]
| +1+?+3
|0.00091
| 0.00091
|-
|-
|(0,1,22,23)
| 0,1,22,23
|[2, 3]
| +2+?+3
|0.00090
| 0.00090
|-
|-
|(0,1,31,32)
| 0,1,31,32
|[1, 2]
| +1+?+2
|0.00071
| 0.00071
|-
|-
|(0,2,3,4)
| 0,2,3,4
|[2, 1]
| +2+?+1
|0.00077
| 0.00077
|-
|-
|(0,2,6,11)
| 0,2,6,11
|[1, 3]
| +1+?+3
|0.00094
| 0.00094
|-
|-
|(0,2,7,12)
| 0,2,7,12
|[1, 3]
| +1+?+3
|0.00013
| 0.00013
|-
|-
|(0,2,8,13)
| 0,2,8,13
|[1, 3]
| +1+?+3
|0.00069
| 0.00069
|-
|-
|(0,2,12,13)
| 0,2,12,13
|[3, 2]
| +3+?+2
|0.00083
| 0.00083
|-
|-
|(0,2,12,15)
| 0,2,12,15
|[1, 2]
| +1+?+2
|0.00087
| 0.00087
|-
|-
|(0,2,13,14)
| 0,2,13,14
|[3, 2]
| +3+?+2
|0.00045
| 0.00045
|-
|-
|(0,2,13,16)
| 0,2,13,16
|[1, 2]
| +1+?+2
|0.00014
| 0.00014
|-
|-
|(0,2,14,15)
| 0,2,14,15
|[3, 2]
| +3+?+2
|0.00008
| 0.00008
|-
|-
|(0,2,14,17)
| 0,2,14,17
|[1, 2]
| +1+?+2
|0.00060
| 0.00060
|-
|-
|(0,2,15,16)
| 0,2,15,16
|[3, 2]
| +3+?+2
|0.00031
| 0.00031
|-
|-
|(0,2,16,17)
| 0,2,16,17
|[3, 2]
| +3+?+2
|0.00071
| 0.00071
|-
|-
|(0,2,18,20)
| 0,2,18,20
|[2, 3]
| +2+?+3
|0.00084
| 0.00084
|-
|-
|(0,2,18,22)
| 0,2,18,22
|[1, 3]
| +1+?+3
|0.00024
| 0.00024
|-
|-
|(0,2,19,21)
| 0,2,19,21
|[2, 3]
| +2+?+3
|0.00020
| 0.00020
|-
|-
|(0,2,19,23)
| 0,2,19,23
|[1, 3]
| +1+?+3
|0.00058
| 0.00058
|-
|-
|(0,2,20,22)
| 0,2,20,22
|[2, 3]
| +2+?+3
|0.00046
| 0.00046
|-
|-
|(0,3,4,5)
| 0,3,4,5
|[3, 1]
| +3+?+1
|0.00097
| 0.00097
|-
|-
|(0,3,5,9)
| 0,3,5,9
|[2, 3]
| +2+?+3
|0.00010
| 0.00010
|-
|-
|(0,3,6,10)
| 0,3,6,10
|[2, 3]
| +2+?+3
|0.00090
| 0.00090
|-
|-
|(0,3,7,12)
| 0,3,7,12
|[1, 2]
| +1+?+2
|0.00074
| 0.00074
|-
|-
|(0,3,8,13)
| 0,3,8,13
|[1, 2]
| +1+?+2
|0.00037
| 0.00037
|-
|-
|(0,3,10,17)
| 0,3,10,17
|[1, 3]
| +1+?+3
|0.00009
| 0.00009
|-
|-
|(0,3,17,23)
| 0,3,17,23
|[1, 3]
| +1+?+3
|0.00096
| 0.00096
|-
|-
|(0,3,18,22)
| 0,3,18,22
|[1, 2]
| +1+?+2
|0.00088
| 0.00088
|-
|-
|(0,3,18,24)
| 0,3,18,24
|[1, 3]
| +1+?+3
|0.00027
| 0.00027
|-
|-
|(0,3,19,20)
| 0,3,19,20
|[2, 1]
| +2+?+1
|0.00059
| 0.00059
|-
|-
|(0,3,19,21)
| 0,3,19,21
|[1, 1]
| +1+?+1
|0.00063
| 0.00063
|-
|-
|(0,3,19,22)
| 0,3,19,22
|[2, 3]
| +2+?+3
|0.00030
| 0.00030
|-
|-
|(0,3,19,23)
| 0,3,19,23
|[1, 2]
| +1+?+2
|0.00023
| 0.00023
|-
|-
|(0,3,20,21)
| 0,3,20,21
|[2, 1]
| +2+?+1
|0.00014
| 0.00014
|-
|-
|(0,3,20,22)
| 0,3,20,22
|[1, 1]
| +1+?+1
|0.00015
| 0.00015
|-
|-
|(0,3,20,23)
| 0,3,20,23
|[2, 3]
| +2+?+3
|0.00070
| 0.00070
|-
|-
|(0,3,21,22)
| 0,3,21,22
|[2, 1]
| +2+?+1
|0.00032
| 0.00032
|-
|-
|(0,3,21,23)
| 0,3,21,23
|[1, 1]
| +1+?+1
|0.00095
| 0.00095
|-
|-
|(0,3,22,23)
| 0,3,22,23
|[2, 1]
| +2+?+1
|0.00078
| 0.00078
|-
|-
|(0,3,27,32)
| 0,3,27,32
|[1, 3]
| +1+?+3
|0.00004
| 0.00004
|-
|-
|(0,4,5,12)
| 0,4,5,12
|[1, 2]
| +1+?+2
|0.00026
| 0.00026
|-
|-
|(0,4,6,16)
| 0,4,6,16
|[1, 3]
| +1+?+3
|0.00066
| 0.00066
|-
|-
|(0,4,8,13)
| 0,4,8,13
|[2, 3]
| +2+?+3
|0.00023
| 0.00023
|-
|-
|(0,4,11,20)
| 0,4,11,20
|[1, 3]
| +1+?+3
|0.00023
| 0.00023
|-
|-
|(0,4,13,14)
| 0,4,13,14
|[3, 1]
| +3+?+1
|0.00091
| 0.00091
|-
|-
|(0,4,13,19)
| 0,4,13,19
|[1, 2]
| +1+?+2
|0.00048
| 0.00048
|-
|-
|(0,4,14,15)
| 0,4,14,15
|[3, 1]
| +3+?+1
|0.00050
| 0.00050
|-
|-
|(0,4,14,16)
| 0,4,14,16
|[3, 2]
| +3+?+2
|0.00055
| 0.00055
|-
|-
|(0,4,14,17)
| 0,4,14,17
|[1, 1]
| +1+?+1
|0.00021
| 0.00021
|-
|-
|(0,4,15,16)
| 0,4,15,16
|[3, 1]
| +3+?+1
|0.00009
| 0.00009
|-
|-
|(0,4,15,17)
| 0,4,15,17
|[3, 2]
| +3+?+2
|0.00023
| 0.00023
|-
|-
|(0,4,15,18)
| 0,4,15,18
|[1, 1]
| +1+?+1
|0.00085
| 0.00085
|-
|-
|(0,4,16,17)
| 0,4,16,17
|[3, 1]
| +3+?+1
|0.00034
| 0.00034
|-
|-
|(0,4,17,18)
| 0,4,17,18
|[3, 1]
| +3+?+1
|0.00077
| 0.00077
|-
|-
|(0,4,17,25)
| 0,4,17,25
|[1, 3]
| +1+?+3
|0.00043
| 0.00043
|-
|-
|(0,4,19,23)
| 0,4,19,23
|[2, 3]
| +2+?+3
|0.00041
| 0.00041
|-
|-
|(0,4,20,24)
| 0,4,20,24
|[2, 3]
| +2+?+3
|0.00094
| 0.00094
|-
|-
|(0,4,22,27)
| 0,4,22,27
|[1, 2]
| +1+?+2
|0.00020
| 0.00020
|-
|-
|(0,4,24,31)
| 0,4,24,31
|[1, 3]
| +1+?+3
|0.00022
| 0.00022
|-
|-
|(0,5,6,9)
| 0,5,6,9
|[3, 2]
| +3+?+2
|0.00003
| 0.00003
|-
|-
|(0,5,7,10)
| 0,5,7,10
|[3, 2]
| +3+?+2
|0.00097
| 0.00097
|-
|-
|(0,5,7,19)
| 0,5,7,19
|[1, 3]
| +1+?+3
|0.00004
| 0.00004
|-
|-
|(0,5,9,17)
| 0,5,9,17
|[1, 2]
| +1+?+2
|0.00017
| 0.00017
|-
|-
|(0,5,10,16)
| 0,5,10,16
|[2, 3]
| +2+?+3
|0.00019
| 0.00019
|-
|-
|(0,5,11,13)
| 0,5,11,13
|[2, 1]
| +2+?+1
|0.00087
| 0.00087
|-
|-
|(0,5,11,15)
| 0,5,11,15
|[1, 1]
| +1+?+1
|0.00018
| 0.00018
|-
|-
|(0,5,12,14)
| 0,5,12,14
|[2, 1]
| +2+?+1
|0.00011
| 0.00011
|-
|-
|(0,5,12,23)
| 0,5,12,23
|[1, 3]
| +1+?+3
|0.00067
| 0.00067
|-
|-
|(0,5,13,15)
| 0,5,13,15
|[2, 1]
| +2+?+1
|0.00067
| 0.00067
|-
|-
|(0,5,16,23)
| 0,5,16,23
|[1, 2]
| +1+?+2
|0.00008
| 0.00008
|-
|-
|(0,5,17,27)
| 0,5,17,27
|[1, 3]
| +1+?+3
|0.00055
| 0.00055
|-
|-
|(0,5,19,24)
| 0,5,19,24
|[2, 3]
| +2+?+3
|0.00051
| 0.00051
|-
|-
|(0,5,22,31)
| 0,5,22,31
|[1, 3]
| +1+?+3
|0.00057
| 0.00057
|-
|-
|(0,5,24,30)
| 0,5,24,30
|[1, 2]
| +1+?+2
|0.00036
| 0.00036
|-
|-
|(0,5,25,26)
| 0,5,25,26
|[3, 1]
| +3+?+1
|0.00071
| 0.00071
|-
|-
|(0,5,25,27)
| 0,5,25,27
|[3, 2]
| +3+?+2
|0.00082
| 0.00082
|-
|-
|(0,5,25,28)
| 0,5,25,28
|[1, 1]
| +1+?+1
|0.00045
| 0.00045
|-
|-
|(0,5,26,27)
| 0,5,26,27
|[3, 1]
| +3+?+1
|0.00018
| 0.00018
|-
|-
|(0,5,26,28)
| 0,5,26,28
|[3, 2]
| +3+?+2
|0.00016
| 0.00016
|-
|-
|(0,5,26,29)
| 0,5,26,29
|[1, 1]
| +1+?+1
|0.00090
| 0.00090
|-
|-
|(0,5,27,28)
| 0,5,27,28
|[3, 1]
| +3+?+1
|0.00035
| 0.00035
|-
|-
|(0,5,28,29)
| 0,5,28,29
|[3, 1]
| +3+?+1
|0.00090
| 0.00090
|-
|-
|(0,6,7,17)
| 0,6,7,17
|[1, 2]
| +1+?+2
|0.00087
| 0.00087
|-
|-
|(0,6,8,22)
| 0,6,8,22
|[1, 3]
| +1+?+3
|0.00045
| 0.00045
|-
|-
|(0,6,9,14)
| 0,6,9,14
|[1, 1]
| +1+?+1
|0.00031
| 0.00031
|-
|-
|(0,6,11,18)
| 0,6,11,18
|[2, 3]
| +2+?+3
|0.00093
| 0.00093
|-
|-
|(0,6,12,21)
| 0,6,12,21
|[1, 2]
| +1+?+2
|0.00036
| 0.00036
|-
|-
|(0,6,12,25)
| 0,6,12,25
|[1, 3]
| +1+?+3
|0.00032
| 0.00032
|-
|-
|(0,6,15,18)
| 0,6,15,18
|[3, 2]
| +3+?+2
|0.00026
| 0.00026
|-
|-
|(0,6,16,19)
| 0,6,16,19
|[3, 2]
| +3+?+2
|0.00095
| 0.00095
|-
|-
|(0,6,16,28)
| 0,6,16,28
|[1, 3]
| +1+?+3
|0.00053
| 0.00053
|-
|-
|(0,6,18,26)
| 0,6,18,26
|[1, 2]
| +1+?+2
|0.00064
| 0.00064
|-
|-
|(0,6,19,25)
| 0,6,19,25
|[2, 3]
| +2+?+3
|0.00062
| 0.00062
|-
|-
|(0,6,20,24)
| 0,6,20,24
|[1, 1]
| +1+?+1
|0.00052
| 0.00052
|-
|-
|(0,6,21,23)
| 0,6,21,23
|[2, 1]
| +2+?+1
|0.00031
| 0.00031
|-
|-
|(0,6,21,32)
| 0,6,21,32
|[1, 3]
| +1+?+3
|0.00033
| 0.00033
|-
|-
|(0,6,22,24)
| 0,6,22,24
|[2, 1]
| +2+?+1
|0.00063
| 0.00063
|-
|-
|(0,6,25,32)
| 0,6,25,32
|[1, 2]
| +1+?+2
|0.00034
| 0.00034
|-
|-
|(0,7,8,14)
| 0,7,8,14
|[1, 1]
| +1+?+1
|0.00029
| 0.00029
|-
|-
|(0,7,8,24)
| 0,7,8,24
|[1, 3]
| +1+?+3
|0.00080
| 0.00080
|-
|-
|(0,7,9,11)
| 0,7,9,11
|[3, 1]
| +3+?+1
|0.00066
| 0.00066
|-
|-
|(0,7,9,12)
| 0,7,9,12
|[2, 1]
| +2+?+1
|0.00041
| 0.00041
|-
|-
|(0,7,9,13)
| 0,7,9,13
|[3, 2]
| +3+?+2
|0.00019
| 0.00019
|-
|-
|(0,7,10,12)
| 0,7,10,12
|[3, 1]
| +3+?+1
|0.00009
| 0.00009
|-
|-
|(0,7,10,13)
| 0,7,10,13
|[2, 1]
| +2+?+1
|0.00070
| 0.00070
|-
|-
|(0,7,11,13)
| 0,7,11,13
|[3, 1]
| +3+?+1
|0.00087
| 0.00087
|-
|-
|(0,7,12,27)
| 0,7,12,27
|[1, 3]
| +1+?+3
|0.00041
| 0.00041
|-
|-
|(0,7,16,30)
| 0,7,16,30
|[1, 3]
| +1+?+3
|0.00098
| 0.00098
|-
|-
|(0,7,17,22)
| 0,7,17,22
|[1, 1]
| +1+?+1
|0.00008
| 0.00008
|-
|-
|(0,7,19,26)
| 0,7,19,26
|[2, 3]
| +2+?+3
|0.00073
| 0.00073
|-
|-
|(0,7,20,29)
| 0,7,20,29
|[1, 2]
| +1+?+2
|0.00002
| 0.00002
|-
|-
|(0,7,23,26)
| 0,7,23,26
|[3, 2]
| +3+?+2
|0.00010
| 0.00010
|-
|-
|(0,7,28,32)
| 0,7,28,32
|[1, 1]
| +1+?+1
|0.00033
| 0.00033
|-
|-
|(0,7,29,31)
| 0,7,29,31
|[2, 1]
| +2+?+1
|0.00020
| 0.00020
|-
|-
|(0,7,30,32)
| 0,7,30,32
|[2, 1]
| +2+?+1
|0.00091
| 0.00091
|-
|-
|(0,8,12,29)
| 0,8,12,29
|[1, 3]
| +1+?+3
|0.00097
| 0.00097
|-
|-
|(0,8,13,22)
| 0,8,13,22
|[2, 3]
| +2+?+3
|0.00051
| 0.00051
|-
|-
|(0,8,15,21)
| 0,8,15,21
|[1, 1]
| +1+?+1
|0.00062
| 0.00062
|-
|-
|(0,8,15,31)
| 0,8,15,31
|[1, 3]
| +1+?+3
|0.00047
| 0.00047
|-
|-
|(0,8,16,18)
| 0,8,16,18
|[3, 1]
| +3+?+1
|0.00066
| 0.00066
|-
|-
|(0,8,16,19)
| 0,8,16,19
|[2, 1]
| +2+?+1
|0.00031
| 0.00031
|-
|-
|(0,8,16,20)
| 0,8,16,20
|[3, 2]
| +3+?+2
|0.00043
| 0.00043
|-
|-
|(0,8,16,27)
| 0,8,16,27
|[1, 2]
| +1+?+2
|0.00090
| 0.00090
|-
|-
|(0,8,17,19)
| 0,8,17,19
|[3, 1]
| +3+?+1
|0.00022
| 0.00022
|-
|-
|(0,8,17,20)
| 0,8,17,20
|[2, 1]
| +2+?+1
|0.00098
| 0.00098
|-
|-
|(0,8,19,27)
| 0,8,19,27
|[2, 3]
| +2+?+3
|0.00085
| 0.00085
|-
|-
|(0,8,24,29)
| 0,8,24,29
|[1, 1]
| +1+?+1
|0.00020
| 0.00020
|-
|-
|(0,9,11,16)
| 0,9,11,16
|[3, 2]
| +3+?+2
|0.00051
| 0.00051
|-
|-
|(0,9,13,20)
| 0,9,13,20
|[1, 1]
| +1+?+1
|0.00002
| 0.00002
|-
|-
|(0,9,14,24)
| 0,9,14,24
|[2, 3]
| +2+?+3
|0.00073
| 0.00073
|-
|-
|(0,9,18,30)
| 0,9,18,30
|[1, 2]
| +1+?+2
|0.00090
| 0.00090
|-
|-
|(0,9,19,28)
| 0,9,19,28
|[2, 3]
| +2+?+3
|0.00096
| 0.00096
|-
|-
|(0,9,21,27)
| 0,9,21,27
|[1, 1]
| +1+?+1
|0.00040
| 0.00040
|-
|-
|(0,9,22,24)
| 0,9,22,24
|[3, 1]
| +3+?+1
|0.00087
| 0.00087
|-
|-
|(0,9,22,25)
| 0,9,22,25
|[2, 1]
| +2+?+1
|0.00053
| 0.00053
|-
|-
|(0,9,22,26)
| 0,9,22,26
|[3, 2]
| +3+?+2
|0.00026
| 0.00026
|-
|-
|(0,9,23,25)
| 0,9,23,25
|[3, 1]
| +3+?+1
|0.00013
| 0.00013
|-
|-
|(0,9,23,26)
| 0,9,23,26
|[2, 1]
| +2+?+1
|0.00093
| 0.00093
|-
|-
|(0,10,11,26)
| 0,10,11,26
|[1, 2]
| +1+?+2
|0.00035
| 0.00035
|-
|-
|(0,10,11,32)
| 0,10,11,32
|[1, 3]
| +1+?+3
|0.00081
| 0.00081
|-
|-
|(0,10,12,20)
| 0,10,12,20
|[1, 1]
| +1+?+1
|0.00098
| 0.00098
|-
|-
|(0,10,14,18)
| 0,10,14,18
|[2, 1]
| +2+?+1
|0.00050
| 0.00050
|-
|-
|(0,10,14,25)
| 0,10,14,25
|[2, 3]
| +2+?+3
|0.00088
| 0.00088
|-
|-
|(0,10,15,29)
| 0,10,15,29
|[1, 2]
| +1+?+2
|0.00041
| 0.00041
|-
|-
|(0,10,16,21)
| 0,10,16,21
|[3, 2]
| +3+?+2
|0.00055
| 0.00055
|-
|-
|(0,10,19,32)
| 0,10,19,32
|[1, 2]
| +1+?+2
|0.00021
| 0.00021
|-
|-
|(0,10,27,31)
| 0,10,27,31
|[3, 2]
| +3+?+2
|0.00082
| 0.00082
|-
|-
|(0,10,28,30)
| 0,10,28,30
|[3, 1]
| +3+?+1
|0.00045
| 0.00045
|-
|-
|(0,10,28,31)
| 0,10,28,31
|[2, 1]
| +2+?+1
|0.00016
| 0.00016
|-
|-
|(0,10,29,31)
| 0,10,29,31
|[3, 1]
| +3+?+1
|0.00068
| 0.00068
|-
|-
|(0,11,12,18)
| 0,11,12,18
|[3, 2]
| +3+?+2
|0.00030
| 0.00030
|-
|-
|(0,11,13,16)
| 0,11,13,16
|[3, 1]
| +3+?+1
|0.00081
| 0.00081
|-
|-
|(0,11,14,17)
| 0,11,14,17
|[3, 1]
| +3+?+1
|0.00044
| 0.00044
|-
|-
|(0,11,16,31)
| 0,11,16,31
|[1, 2]
| +1+?+2
|0.00064
| 0.00064
|-
|-
|(0,11,17,25)
| 0,11,17,25
|[1, 1]
| +1+?+1
|0.00091
| 0.00091
|-
|-
|(0,11,19,23)
| 0,11,19,23
|[2, 1]
| +2+?+1
|0.00045
| 0.00045
|-
|-
|(0,11,21,26)
| 0,11,21,26
|[3, 2]
| +3+?+2
|0.00074
| 0.00074
|-
|-
|(0,12,15,24)
| 0,12,15,24
|[1, 1]
| +1+?+1
|0.00087
| 0.00087
|-
|-
|(0,12,15,28)
| 0,12,15,28
|[2, 3]
| +2+?+3
|0.00013
| 0.00013
|-
|-
|(0,12,17,23)
| 0,12,17,23
|[3, 2]
| +3+?+2
|0.00054
| 0.00054
|-
|-
|(0,12,18,21)
| 0,12,18,21
|[3, 1]
| +3+?+1
|0.00043
| 0.00043
|-
|-
|(0,12,19,22)
| 0,12,19,22
|[3, 1]
| +3+?+1
|0.00095
| 0.00095
|-
|-
|(0,12,23,27)
| 0,12,23,27
|[2, 1]
| +2+?+1
|0.00083
| 0.00083
|-
|-
|(0,12,26,31)
| 0,12,26,31
|[3, 2]
| +3+?+2
|0.00005
| 0.00005
|-
|-
|(0,13,14,24)
| 0,13,14,24
|[1, 1]
| +1+?+1
|0.00019
| 0.00019
|-
|-
|(0,13,17,22)
| 0,13,17,22
|[2, 1]
| +2+?+1
|0.00085
| 0.00085
|-
|-
|(0,13,21,27)
| 0,13,21,27
|[3, 2]
| +3+?+2
|0.00035
| 0.00035
|-
|-
|(0,13,22,25)
| 0,13,22,25
|[3, 1]
| +3+?+1
|0.00097
| 0.00097
|-
|-
|(0,13,23,26)
| 0,13,23,26
|[3, 1]
| +3+?+1
|0.00054
| 0.00054
|-
|-
|(0,13,28,32)
| 0,13,28,32
|[2, 1]
| +2+?+1
|0.00055
| 0.00055
|-
|-
|(0,14,17,24)
| 0,14,17,24
|[3, 2]
| +3+?+2
|0.00099
| 0.00099
|-
|-
|(0,14,18,28)
| 0,14,18,28
|[1, 1]
| +1+?+1
|0.00043
| 0.00043
|-
|-
|(0,14,21,26)
| 0,14,21,26
|[2, 1]
| +2+?+1
|0.00080
| 0.00080
|-
|-
|(0,14,25,31)
| 0,14,25,31
|[3, 2]
| +3+?+2
|0.00054
| 0.00054
|-
|-
|(0,14,27,30)
| 0,14,27,30
|[3, 1]
| +3+?+1
|0.00050
| 0.00050
|-
|-
|(0,15,16,20)
| 0,15,16,20
|[3, 1]
| +3+?+1
|0.00055
| 0.00055
|-
|-
|(0,15,17,28)
| 0,15,17,28
|[1, 1]
| +1+?+1
|0.00064
| 0.00064
|-
|-
|(0,15,21,28)
| 0,15,21,28
|[3, 2]
| +3+?+2
|0.00045
| 0.00045
|-
|-
|(0,15,22,32)
| 0,15,22,32
|[1, 1]
| +1+?+1
|0.00039
| 0.00039
|-
|-
|(0,16,18,26)
| 0,16,18,26
|[3, 2]
| +3+?+2
|0.00049
| 0.00049
|-
|-
|(0,16,19,25)
| 0,16,19,25
|[2, 1]
| +2+?+1
|0.00031
| 0.00031
|-
|-
|(0,16,20,24)
| 0,16,20,24
|[3, 1]
| +3+?+1
|0.00018
| 0.00018
|-
|-
|(0,16,25,32)
| 0,16,25,32
|[3, 2]
| +3+?+2
|0.00095
| 0.00095
|-
|-
|(0,17,22,28)
| 0,17,22,28
|[2, 1]
| +2+?+1
|0.00091
| 0.00091
|-
|-
|(0,17,23,27)
| 0,17,23,27
|[3, 1]
| +3+?+1
|0.00066
| 0.00066
|-
|-
|(0,18,27,31)
| 0,18,27,31
|[3, 1]
| +3+?+1
|0.00095
| 0.00095
|-
|-
|(0,19,21,28)
| 0,19,21,28
|[2, 1]
| +2+?+1
|0.00065
| 0.00065
|-
|-
|(0,20,24,31)
| 0,20,24,31
|[2, 1]
| +2+?+1
|0.00078
| 0.00078
|-
|-
|(0,21,22,32)
| 0,21,22,32
|[3, 2]
| +3+?+2
|0.00091
| 0.00091
|-
|-
|(0,22,27,32)
| 0,22,27,32
|[3, 1]
| +3+?+1
|0.00038
| 0.00038
|}
|}


Line 1,376: Line 1,421:
=== Modern renderings ===
=== Modern renderings ===
; {{W|Johann Sebastian Bach}}
; {{W|Johann Sebastian Bach}}
* [https://www.youtube.com/watch?v=IhR9oFt5zx4 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742&ndash;1749) &ndash; rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=IhR9oFt5zx4 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=ynPQPm_ekos "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742&ndash;1749) &ndash; rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=ynPQPm_ekos "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)


=== 21st century ===
=== 21st century ===
; [[Bryan Deister]]
; [[Bryan Deister]]
* [https://www.youtube.com/watch?v=swyP6tB78k0 ''groove 33edo''] (2023)
* [https://www.youtube.com/watch?v=swyP6tB78k0 ''groove 33edo''] (2023)
* [https://www.youtube.com/watch?v=GypR6x_Ih1I ''33edo jam''] (2025)
* [https://www.youtube.com/shorts/mkaaAJEyGFU ''33edo riff''] (2025)
* [https://www.youtube.com/shorts/Lf0CCX88w_w ''33edo improv''] (2025-10-27)
* [https://www.youtube.com/shorts/IzRhOdnNC64 ''33edo improv''] (2026-04-27)


; [[Peter Kosmorsky]]
; [[Peter Kosmorsky]]
Line 1,387: Line 1,436:


; [[Budjarn Lambeth]]
; [[Budjarn Lambeth]]
* [https://youtu.be/scCuGXnj5IY ''Music in 33EDO (33-Tone Equal Temperament) &ndash; Feb 2024''] (2024)
* [https://youtu.be/scCuGXnj5IY ''Enchanted Shopping Mall''] (2024)


; [[Claudi Meneghin]]
; [[Claudi Meneghin]]
* [https://www.youtube.com/watch?v=REkrbdesbLo ''Rising Canon on a Ground'', for Baroque Oboe, Bassoon, Violone] (2024) &ndash; ([https://www.youtube.com/watch?v=4fhcNPjFv14 for Organ])
* [https://www.youtube.com/watch?v=REkrbdesbLo ''Rising Canon on a Ground'', for Baroque Oboe, Bassoon, Violone] (2024) – ([https://www.youtube.com/watch?v=4fhcNPjFv14 for Organ])
* [https://www.youtube.com/watch?v=pkYN8SX6luY ''Lytel Twyelyghte Musicke (Little Twilight Music)'', for Brass and Timpani] (2024)
* [https://www.youtube.com/watch?v=pkYN8SX6luY ''Lytel Twyelyghte Musicke (Little Twilight Music)'', for Brass and Timpani] (2024)


Line 1,405: Line 1,454:


[[Category:Listen]]
[[Category:Listen]]
[[Category:Meantone]]
[[Category:Subgroup temperaments]]
[[Category:Subgroup temperaments]]
Retrieved from "https://en.xen.wiki/w/33edo"