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55edo: Difference between revisions

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{{interwiki
{{Interwiki
| en = 55edo
| de = 55-EDO
| de = 55-EDO
| en = 55edo
| es = 55 EDO
| es = 55 EDO
| ja =  
| ja =  
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== Theory ==
== Theory ==
55edo can be used for a [[meantone]] tuning, and is close to [[1/6-comma meantone]] (and is almost exactly 10/57-comma meantone). {{w|Georg Philipp Telemann|Telemann}} suggested it as a theoretical basis for analyzing the [[meantone intervals|intervals of meantone]]. {{w|Leopold Mozart|Leopold}} and {{w|Wolfgang Amadeus Mozart|Wolfgang Mozart}} recommended 55edo or something close to it, with a subset and further approximation used for keyboard instruments which (apart from an experimental instrument) did not have enough notes per octave to accommodate it in full.<ref>Chesnut, John (1977) ''Mozart's Teaching of Intonation'', '''Journal of the American Musicological Society''' Vol. 30, No. 2 (Summer, 1977), pp. 254-271 (Published By: University of California Press) [https://doi.org/10.2307/831219 doi.org/10.2307/831219], [http://www.jstor.org/stable/831219 https://www.jstor.org/stable/831219]</ref> It can also be used for [[Meantone family|mohajira and liese]] temperaments. It also supports an extremely sharp tuning of [[huygens|Huygens/undecimal meantone]] using the 55de [[val]], meaning that primes 7 and 11 are mapped very sharply to their second-best mapping.
55edo supports [[meantone]], and is close to [[1/6-comma meantone]]. {{w|Georg Philipp Telemann|Telemann}} suggested it as a theoretical basis for analyzing the [[meantone intervals|intervals of meantone]]. {{w|Leopold Mozart|Leopold}} and {{w|Wolfgang Amadeus Mozart|Wolfgang Mozart}} recommended 55edo or something close to it, with a subset and further approximation used for keyboard instruments which (apart from an experimental instrument) did not have enough notes per octave to accommodate it in full.<ref>Chesnut, John (1977) ''Mozart's Teaching of Intonation'', '''Journal of the American Musicological Society''' Vol. 30, No. 2 (Summer, 1977), pp. 254-271 (Published By: University of California Press) [https://doi.org/10.2307/831219 doi.org/10.2307/831219], [http://www.jstor.org/stable/831219 https://www.jstor.org/stable/831219]</ref> It can also be used for [[mohajira]] and [[liese]] temperaments. It also supports an extremely sharp tuning of [[huygens|huygens/undecimal meantone]] using the 55de [[val]], meaning that primes 7 and 11 are mapped very sharply to their second-best mapping. 55edo is a [[zeta valley edo]], suggesting it does not approximate the harmonic series very well for its size.
 


=== Odd harmonics ===
=== Odd harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 55 factors into {{factorization|55}}, 55edo contains [[5edo]] and [[11edo]] as its subsets.
Since 55 factors into primes as {{nowrap| 5 × 11 }}, 55edo contains [[5edo]] and [[11edo]] as its subsets.


== Intervals ==
== Intervals ==
{| class="wikitable center-1 right-2 left-3"
{| class="wikitable center-1 right-2 left-3"
|-
|-
! [[Degree|&#35;]]
! [[Degree|#]]
! [[Cent]]s
! [[Cent]]s
! Approximate ratios
! Approximate ratios
Line 27: Line 28:
| 0
| 0
| 0.0
| 0.0
| 1/1
| [[1/1]]
| P1
| P1
| perfect 1sn
| perfect 1sn
Line 34: Line 35:
| 1
| 1
| 21.8
| 21.8
| 65/64, 78/77, 99/98, ''128/125''
| [[65/64]], [[78/77]], [[99/98]], ''[[128/125]]''
| ^1
| ^1
| up 1sn
| up 1sn
Line 41: Line 42:
| 2
| 2
| 43.6
| 43.6
| 36/35, ''64/63''
| [[36/35]], ''[[64/63]]''
| ^^1
| ^^1
| dup 1sn
| dup 1sn
Line 48: Line 49:
| 3
| 3
| 65.5
| 65.5
| 28/27
| [[28/27]]
| vvm2
| vvm2
| dudminor 2nd
| dudminor 2nd
Line 55: Line 56:
| 4
| 4
| 87.3
| 87.3
| 21/20, ''18/17'', ''25/24''
| [[21/20]], ''[[18/17]]'', ''[[25/24]]''
| vm2
| vm2
| downminor 2nd
| downminor 2nd
Line 62: Line 63:
| 5
| 5
| 109.1
| 109.1
| 16/15, 17/16
| [[16/15]], [[17/16]]
| m2
| m2
| minor 2nd
| minor 2nd
Line 69: Line 70:
| 6
| 6
| 130.9
| 130.9
| 13/12, 14/13
| [[13/12]], [[14/13]]
| ^m2
| ^m2
| upminor 2nd
| upminor 2nd
Line 76: Line 77:
| 7
| 7
| 152.7
| 152.7
| 12/11, ''11/10''
| [[12/11]], ''[[11/10]]''
| ~2
| ~2
| mid 2nd
| mid 2nd
Line 90: Line 91:
| 9
| 9
| 196.4
| 196.4
| 9/8, ''10/9''
| [[9/8]], ''[[10/9]]''
| M2
| M2
| major 2nd
| major 2nd
Line 97: Line 98:
| 10
| 10
| 218.2
| 218.2
| 17/15
| [[17/15]]
| ^M2
| ^M2
| upmajor 2nd
| upmajor 2nd
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| 11
| 11
| 240.0
| 240.0
| 8/7
| [[8/7]]
| ^^M2
| ^^M2
| dupmajor 2nd
| dupmajor 2nd
Line 111: Line 112:
| 12
| 12
| 261.8
| 261.8
| 7/6
| [[7/6]]
| vvm3
| vvm3
| dudminor 3rd
| dudminor 3rd
Line 118: Line 119:
| 13
| 13
| 283.6
| 283.6
| 13/11
| [[13/11]]
| vm3
| vm3
| downminor 3rd
| downminor 3rd
Line 125: Line 126:
| 14
| 14
| 305.5
| 305.5
| 6/5
| [[6/5]]
| m3
| m3
| minor 3rd
| minor 3rd
Line 139: Line 140:
| 16
| 16
| 349.1
| 349.1
| 11/9, 27/22
| [[11/9]], [[27/22]]
| ~3
| ~3
| mid 3rd
| mid 3rd
Line 146: Line 147:
| 17
| 17
| 370.9
| 370.9
| 26/21, ''16/13''
| [[26/21]], ''[[16/13]]''
| vM3
| vM3
| downmajor 3rd
| downmajor 3rd
Line 153: Line 154:
| 18
| 18
| 392.7
| 392.7
| 5/4
| [[5/4]]
| M3
| M3
| major 3rd
| major 3rd
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| 19
| 19
| 414.5
| 414.5
| 14/11
| [[14/11]]
| ^M3
| ^M3
| upmajor 3rd
| upmajor 3rd
Line 167: Line 168:
| 20
| 20
| 436.4
| 436.4
| 9/7
| [[9/7]]
| ^^M3
| ^^M3
| dupmajor 3rd
| dupmajor 3rd
Line 174: Line 175:
| 21
| 21
| 458.2
| 458.2
| ''21/16''
| ''[[21/16]]''
| vv4
| vv4
| dud 4th
| dud 4th
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| 23
| 23
| 501.8
| 501.8
| 4/3, ''27/20''
| [[4/3]], ''[[27/20]]''
| P4
| P4
| perfect 4th
| perfect 4th
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| 25
| 25
| 545.5
| 545.5
| 11/8, 15/11
| [[11/8]], [[15/11]]
| ~4
| ~4
| mid 4th
| mid 4th
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| 26
| 26
| 567.3
| 567.3
| 18/13
| [[7/5]], [[18/13]]
| vA4
| vA4
| downaug 4th
| downaug 4th
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| 27
| 27
| 589.1
| 589.1
| 7/5, 24/17
| [[24/17]]
| A4, vd5
| A4, vd5
| aug 4th, downdim 5th
| aug 4th, downdim 5th
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| 28
| 28
| 610.9
| 610.9
| 10/7, 17/12
| [[17/12]]
| ^A4, d5
| ^A4, d5
| upaug 4th, dim 5th
| upaug 4th, dim 5th
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| 29
| 29
| 632.7
| 632.7
| 13/9
| [[10/7]], [[13/9]]
| ^d5
| ^d5
| updim 5th
| updim 5th
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| 30
| 30
| 654.5
| 654.5
| 16/11, 22/15
| [[16/11]], [[22/15]]
| ~5
| ~5
| mid 5th
| mid 5th
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| 32
| 32
| 698.2
| 698.2
| 3/2, ''40/27''
| [[3/2]], ''[[40/27]]''
| P5
| P5
| perfect 5th
| perfect 5th
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| 34
| 34
| 741.8
| 741.8
| ''32/21''
| ''[[32/21]]''
| ^^5
| ^^5
| dup 5th
| dup 5th
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| 35
| 35
| 763.6
| 763.6
| 14/9
| [[14/9]]
| vvm6
| vvm6
| dudminor 6th
| dudminor 6th
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| 36
| 36
| 785.5
| 785.5
| 11/7
| [[11/7]]
| vm6
| vm6
| downminor 6th
| downminor 6th
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| 37
| 37
| 807.3
| 807.3
| 8/5
| [[8/5]]
| m6
| m6
| minor 6th
| minor 6th
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| 38
| 38
| 829.1
| 829.1
| 21/13, ''13/8''
| [[21/13]], ''[[13/8]]''
| ^m6
| ^m6
| upminor 6th
| upminor 6th
Line 300: Line 301:
| 39
| 39
| 850.9
| 850.9
| 18/11, 44/27
| [[18/11]], [[44/27]]
| ~6
| ~6
| mid 6th
| mid 6th
Line 314: Line 315:
| 41
| 41
| 894.5
| 894.5
| 5/3
| [[5/3]]
| M6
| M6
| major 6th
| major 6th
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| 42
| 42
| 916.4
| 916.4
| 22/13
| [[22/13]]
| ^M6
| ^M6
| upmajor 6th
| upmajor 6th
Line 328: Line 329:
| 43
| 43
| 938.2
| 938.2
| 12/7
| [[12/7]]
| ^^M6
| ^^M6
| dupmajor 6th
| dupmajor 6th
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| 44
| 44
| 960.0
| 960.0
| 7/4
| [[7/4]]
| vvm7
| vvm7
| dudminor 7th
| dudminor 7th
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| 45
| 45
| 981.8
| 981.8
| 30/17
| [[30/17]]
| vm7
| vm7
| downminor 7th
| downminor 7th
Line 349: Line 350:
| 46
| 46
| 1003.6
| 1003.6
| 16/9, ''9/5''
| [[16/9]], ''[[9/5]]''
| m7
| m7
| minor 7th
| minor 7th
Line 363: Line 364:
| 48
| 48
| 1047.3
| 1047.3
| 11/6, ''20/11''
| [[11/6]], ''[[20/11]]''
| ~7
| ~7
| mid 7th
| mid 7th
Line 370: Line 371:
| 49
| 49
| 1069.1
| 1069.1
| 13/7, 24/13
| [[13/7]], [[24/13]]
| vM7
| vM7
| downmajor 7th
| downmajor 7th
Line 377: Line 378:
| 50
| 50
| 1090.9
| 1090.9
| 15/8, ''32/17''
| [[15/8]], ''[[32/17]]''
| M7
| M7
| major 7th
| major 7th
Line 384: Line 385:
| 51
| 51
| 1112.7
| 1112.7
| 40/21, ''17/9'', ''48/25''
| [[40/21]], ''[[17/9]]'', ''[[48/25]]''
| ^M7
| ^M7
| upmajor 7th
| upmajor 7th
Line 391: Line 392:
| 52
| 52
| 1134.5
| 1134.5
| 56/27
| [[56/27]]
| ^^M7
| ^^M7
| dupmajor 7th
| dupmajor 7th
Line 398: Line 399:
| 53
| 53
| 1156.4
| 1156.4
| 35/18, ''63/32''
| [[35/18]], ''[[63/32]]''
| vv8
| vv8
| dud 8ve
| dud 8ve
Line 405: Line 406:
| 54
| 54
| 1178.2
| 1178.2
| 128/65, 77/39, 196/99, ''125/64''
| [[128/65]], [[77/39]], [[196/99]], ''[[125/64]]''
| v8
| v8
| down 8ve
| down 8ve
Line 412: Line 413:
| 55
| 55
| 1200.0
| 1200.0
| 2/1
| [[2/1]]
| P8
| P8
| perfect 8ve
| perfect 8ve
Line 420: Line 421:


== Notation ==
== Notation ==
=== Ups and downs notation ===
=== Stein–Zimmermann–Gould notation ===
55edo can be notated with [[ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.
[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
{{Sharpness-sharp4a}}
{{Sharpness-sharp4-szg}}
[[Alternative symbols for ups and downs notation]] uses sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:
 
{{Sharpness-sharp4}}
=== Kite's ups and downs notation ===
55edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.
{{Ups and downs sharpness}}
 
=== Sagittal notation ===
=== Sagittal notation ===
==== Evo flavor ====
==== Evo flavor ====
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default [[File:55-EDO_Evo-SZ_Sagittal.svg]]
default [[File:55-EDO_Evo-SZ_Sagittal.svg]]
</imagemap>
</imagemap>
=== 31-tone subset ===
The 31-out-of-55edo subset can be notated entirely with the standard notation of 7 each of naturals/sharps/flats, and 5 each of doublesharps/doubleflats, as a 31-tone chain-of-5ths from Gbb to Ax.
[[File:Monzo55Notation.jpeg|400px|frameless|alt=Diagram of 31-tone subset of 55edo using plain Western notation, by Joe Monzo.|Diagram of 31-tone subset of 55edo using plain Western notation, by [[Joe Monzo]].]]


== Approximation to JI ==
== Approximation to JI ==
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{{Q-odd-limit intervals|55}}
{{Q-odd-limit intervals|55}}
{{Q-odd-limit intervals|55.05|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55d val mapping}}
{{Q-odd-limit intervals|55.05|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55d val mapping}}
 
{{Q-odd-limit intervals|54.95|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55f val mapping}}
=== Zeta peak index ===
{{ZPI
| zpi = 270zpi
| steps = 55.0877256278105
| step size = 21.7834369875345
| tempered height = 3.475625
| pure height = 0.164348
| integral = 0.412837
| gap = 10.910231
| octave = 1198.08903431440
| consistent = 6
| distinct = 6
}}


== Regular temperament properties ==
== Regular temperament properties ==
Line 511: Line 507:


=== Commas ===
=== Commas ===
{{Todo|cleanup|inline=true}}
'''5-limit commas''': [[81/80]], [[Quintosec_family|{{monzo| 47 -15 -10 }}]], {{monzo| 31 1 -14 }}, {{monzo| 27 5 -15 }}
'''5-limit commas''': [[81/80]], [[Quintosec_family|{{monzo| 47 -15 -10 }}]], {{monzo| 31 1 -14 }}, {{monzo| 27 5 -15 }}


Line 534: Line 532:
| 14/13
| 14/13
| [[Twothirdtonic]] (55f)
| [[Twothirdtonic]] (55f)
|-
| 1
| 8\55
| 174.5
| [[10/9]]~[[11/10]]
| [[Tetracot]] (55c)
|-
|-
| 1
| 1
Line 569: Line 573:
| 501.8<br>(65.5)
| 501.8<br>(65.5)
| 4/3<br>(36/35)
| 4/3<br>(36/35)
| [[Hendecatonic]] (55)
| [[Hendecatonic (temperament)|Hendecatonic]] (55)
|}
|}
<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


== Scales ==
== Scales ==
; Subsets of twothirdtonic[37]
; Subsets of Twothirdtonic[37]
* Undecimal otonal-like pentatonic: 17 8 7 12 11
* Undecimal otonal-like pentatonic: 17 8 7 12 11


; Subsets of hendecatonic[33]
; Subsets of Hendecatonic[33]
* Septimal pentatonic-like: 10 13 9 13 10
* Septimal pentatonic-like: 10 13 9 13 10
* Septimal minor blues-like: 13 10 4 5 13 10
* Septimal minor blues-like: 13 10 4 5 13 10
Line 593: Line 597:
; {{W|Johann Sebastian Bach}}
; {{W|Johann Sebastian Bach}}
* [https://www.youtube.com/watch?v=oymJKnYzzOw "Jesus bleibet meine Freude" from ''Herz und Mund und Tat und Leben'', BWV 147] (1723) – arranged for two organs, rendered by Claudi Meneghin (2021)
* [https://www.youtube.com/watch?v=oymJKnYzzOw "Jesus bleibet meine Freude" from ''Herz und Mund und Tat und Leben'', BWV 147] (1723) – arranged for two organs, rendered by Claudi Meneghin (2021)
* [https://www.youtube.com/watch?v=xoCNOIsjfeU "Ricercar a 3" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=xoCNOIsjfeU "Ricercar a 3" from ''The Musical Offering'', BWV 1079] (1747) – rendered by [[Claudi Meneghin]] (2024)
* [https://www.youtube.com/watch?v=OkRVNo19guo "Ricercar a 6" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2025)
* "Ricercar a 6" from ''The Musical Offering'', BWV 1079 (1747) – rendered by Claudi Meneghin
** [https://www.youtube.com/watch?v=OkRVNo19guo harpsichord rendition] (2025)
** [https://www.youtube.com/watch?v=X_qROPtHf9g fortepiano rendition] (2025)
** [https://www.youtube.com/watch?v=X9SexO03MTw organ rendition] (2026)
* [https://www.youtube.com/watch?v=Y5sIjh_Te40 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=Y5sIjh_Te40 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=QOPxqNgkVWM "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=QOPxqNgkVWM "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)


; {{W|Nicolaus Bruhns}}
; {{W|Nicolaus Bruhns}}
* [https://www.youtube.com/watch?v=OfOt3nOp-f8 ''Prelude in E Minor "The Great"''] – rendered by Claudi Meneghin (2023)
* [https://www.youtube.com/watch?v=OfOt3nOp-f8 ''Prelude in E Minor "The Great"''] – rendered by [[Claudi Meneghin]] (2023)
* [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)
; {{W|John Bull (composer)|John Bull}}
* [https://www.youtube.com/watch?v=I2d-540RuoM ''Fantasia «Ut Re Mi Fa Sol La»''] (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – rendered by Claudi Meneghin (2026)
; {{W|Louis Couperin}}
* [https://www.youtube.com/shorts/bcgY3k-6rao ''La Piémontoise''] (1658?) – rendered by Claudi Meneghin (2026)


; {{W|Georg Frideric Handel}}
; {{W|Georg Frideric Handel}}
Line 606: Line 619:


; {{W|Scott Joplin}}
; {{W|Scott Joplin}}
* [https://www.youtube.com/watch?v=GbhpuoIJgxk ''Maple Leaf Rag''] (1899) – arranged for harpsichord and rendered by Claudi Meneghin (2024)
* ''Maple Leaf Rag'' (1899) – arranged for harpsichord and rendered by [[Claudi Meneghin]] ([https://www.youtube.com/watch?v=GbhpuoIJgxk 2024 version]; [https://www.youtube.com/shorts/3Y9y9I6q1as 2026 version])
 
; {{W|Mladen Milićević}}
* [https://www.youtube.com/shorts/1BhIK0s2-vs "The Room" from ''The Room''] (2003) – covered by [[Bryan Deister]] (2026)


; {{W|Wolfgang Amadeus Mozart}}
; {{W|Wolfgang Amadeus Mozart}}
* [https://www.youtube.com/watch?v=C_AML6XW-2g ''Rondo alla Turca'' from the Piano Sonata No. 11, KV 331] (1778) – rendered by Francium (2023)
* [https://www.youtube.com/watch?v=C_AML6XW-2g ''Rondo alla Turca'' from the Piano Sonata No. 11, K. 331] (1778) – rendered by Francium (2023)
* [https://www.youtube.com/watch?v=XgRksdk6zyQ ''Fugue in G minor'', KV 401] (1782) – rendered by Francium (2023)
* [https://www.youtube.com/watch?v=XgRksdk6zyQ ''Fugue in G minor'', K. 401] (1782) – rendered by Francium (2023)
* [http://www.seraph.it/dep/int/AdagioKV540.mp3 ''Adagio in B minor'', KV 540] (1788) – rendered by Carlo Serafini (2011) ([http://www.seraph.it/blog_files/706c4662272db7703def4d57edfcb955-119.html blog entry])
* [http://www.seraph.it/dep/int/AdagioKV540.mp3 ''Adagio in B minor'', K. 540] (1788) – rendered by Carlo Serafini (2011) ([http://www.seraph.it/blog_files/706c4662272db7703def4d57edfcb955-119.html blog entry])
* [https://www.youtube.com/watch?v=pFjJCj2MBTM ''Allegro'' from the Piano Sonata No. 16, KV 545] (1788) – rendered by Francium (2023)
* [https://www.youtube.com/watch?v=pFjJCj2MBTM ''Allegro'' from the Piano Sonata No. 16, K. 545] (1788) – rendered by Francium (2023)
* ''Kleine Gigue in G'', K. 574 (1789) – rendered by [[Claudi Meneghin]]
** [https://www.youtube.com/watch?v=p88MWgdio14&list=PLC6ZSKWKnVz0mOTLQkCUi9ydWGLpBP8gZ&index=2 Fortepiano rendition] (2025)
** [https://www.youtube.com/shorts/7jt-jzziDBg Harpsichord rendition] (2026)
** [https://www.youtube.com/shorts/9J1DkS5UGzE Organ rendition] (2026)


; {{W|Keiichi Okabe}}
; {{W|Keiichi Okabe}}
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=== 21st century ===
=== 21st century ===
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/l62rb8ULCXs ''55edo improv''] (2025)
* [https://www.youtube.com/watch?v=kVmToKkZU88 ''Waltz in 55edo''] (2025)
* [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025)
; [[James Kukula]]
; [[James Kukula]]
* ''[https://app.box.com/s/8hq89cb3rqqkrhvkxgvqtppa255kcqrq?fbclid=IwY2xjawISjSlleHRuA2FlbQIxMAABHcl5t8n_C7QUJqdEnwSaWBc5u3BpldmcAjhQQljsQIPl1qJ-zdCr9T8NMw_aem_Ez0m-Ls_ZqI0-c0Ld-28Yg 55edo Melted Syntonic]'' (2025)
* [https://app.box.com/s/8hq89cb3rqqkrhvkxgvqtppa255kcqrq?fbclid=IwY2xjawISjSlleHRuA2FlbQIxMAABHcl5t8n_C7QUJqdEnwSaWBc5u3BpldmcAjhQQljsQIPl1qJ-zdCr9T8NMw_aem_Ez0m-Ls_ZqI0-c0Ld-28Yg ''55edo Melted Syntonic''] (2025)


; [[Budjarn Lambeth]]
; [[Budjarn Lambeth]]
* ''[https://www.youtube.com/watch?v=9c5MtrZFNhA Improvisation One in 55edo]'' (2025)
* [https://www.youtube.com/watch?v=9c5MtrZFNhA ''Improvisation One in 55edo''] (2025)
* ''[https://www.youtube.com/watch?v=ggFGUn1Ya2A Improvisation Two in 55edo]'' (2025)
* [https://www.youtube.com/watch?v=ggFGUn1Ya2A ''Improvisation Two in 55edo''] (2025)


; [[Claudi Meneghin]]
; [[Claudi Meneghin]]
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; [[Herman Miller]]
; [[Herman Miller]]
* ''[https://soundcloud.com/morphosyntax-1/road-trip-to-nowhere Road Trip to Nowhere]'' (2021)
* [https://soundcloud.com/morphosyntax-1/road-trip-to-nowhere ''Road Trip to Nowhere''] (2021)
* ''[https://soundcloud.com/morphosyntax-1/migration Migration]'' (2025)
* [https://soundcloud.com/morphosyntax-1/migration ''Migration''] (2025)


== External links ==
== External links ==
Retrieved from "https://en.xen.wiki/w/55edo"