Xenharmonic Wiki

55edo: Difference between revisions

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→Theory: Split sentence about 18th century composers, since the reference about the Mozart family doesn't talk about Telemann, and it wouldn't be good to make it look like Telemann is in on that reference -- Telemann would be for another reference, if someone can find it.
→Selected just intervals by error: Add 55cf val — this one surprisingly improves consistency more than the other warts or combinations thereof
 
(60 intermediate revisions by 11 users not shown)
Line 1: Line 1:
{{interwiki
{{Interwiki
| de =
| en = 55edo
| en = 55edo
| de = 55-EDO
| es = 55 EDO
| es = 55 EDO
| ja =  
| ja =  
}}
}}
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|55}}
{{ED intro}}


== 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 ===
Line 15: Line 16:


=== 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
Line 104: Line 105:
| 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
Line 160: Line 161:
| 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
Line 188: Line 189:
| 23
| 23
| 501.8
| 501.8
| 4/3, ''27/20''
| [[4/3]], ''[[27/20]]''
| P4
| P4
| perfect 4th
| perfect 4th
Line 202: Line 203:
| 25
| 25
| 545.5
| 545.5
| 11/8, 15/11
| [[11/8]], [[15/11]]
| ~4
| ~4
| mid 4th
| mid 4th
Line 209: Line 210:
| 26
| 26
| 567.3
| 567.3
| 18/13
| [[7/5]], [[18/13]]
| vA4
| vA4
| downaug 4th
| downaug 4th
Line 216: Line 217:
| 27
| 27
| 589.1
| 589.1
| 7/5, 24/17
| [[24/17]]
| A4, vd5
| A4, vd5
| aug 4th, downdim 5th
| aug 4th, downdim 5th
Line 223: Line 224:
| 28
| 28
| 610.9
| 610.9
| 10/7, 17/12
| [[17/12]]
| ^A4, d5
| ^A4, d5
| upaug 4th, dim 5th
| upaug 4th, dim 5th
Line 230: Line 231:
| 29
| 29
| 632.7
| 632.7
| 13/9
| [[10/7]], [[13/9]]
| ^d5
| ^d5
| updim 5th
| updim 5th
Line 237: Line 238:
| 30
| 30
| 654.5
| 654.5
| 16/11, 22/15
| [[16/11]], [[22/15]]
| ~5
| ~5
| mid 5th
| mid 5th
Line 251: Line 252:
| 32
| 32
| 698.2
| 698.2
| 3/2, ''40/27''
| [[3/2]], ''[[40/27]]''
| P5
| P5
| perfect 5th
| perfect 5th
Line 265: Line 266:
| 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
Line 279: Line 280:
| 36
| 36
| 785.5
| 785.5
| 11/7
| [[11/7]]
| vm6
| vm6
| downminor 6th
| downminor 6th
Line 286: Line 287:
| 37
| 37
| 807.3
| 807.3
| 8/5
| [[8/5]]
| m6
| m6
| minor 6th
| minor 6th
Line 293: Line 294:
| 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
Line 321: Line 322:
| 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
Line 335: Line 336:
| 44
| 44
| 960.0
| 960.0
| 7/4
| [[7/4]]
| vvm7
| vvm7
| dudminor 7th
| dudminor 7th
Line 342: Line 343:
| 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 418: Line 419:
|}
|}
<nowiki />* 55f val (tending flat), inconsistent intervals labeled in ''italic''
<nowiki />* 55f val (tending flat), inconsistent intervals labeled in ''italic''
== Notation ==
=== Stein–Zimmermann–Gould notation ===
[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
{{Sharpness-sharp4-szg}}
=== 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 ===
==== Evo flavor ====
<imagemap>
File:55-EDO_Evo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 300 0 615 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 160 106 [[896/891]]
rect 160 80 280 106 [[33/32]]
default [[File:55-EDO_Evo_Sagittal.svg]]
</imagemap>
==== Revo flavor ====
<imagemap>
File:55-EDO_Revo_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 80 160 106 [[896/891]]
rect 160 80 280 106 [[33/32]]
default [[File:55-EDO_Revo_Sagittal.svg]]
</imagemap>
==== Evo-SZ flavor ====
<imagemap>
File:55-EDO_Evo-SZ_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 300 0 607 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 160 106 [[896/891]]
rect 160 80 280 106 [[33/32]]
default [[File:55-EDO_Evo-SZ_Sagittal.svg]]
</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 ==
[[File:55ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 55edo]]
[[File:55ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 55edo]]
=== Selected just intervals by error ===
=== Selected just intervals by error ===
{{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}}
{{Q-odd-limit intervals|54.91|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55cf val mapping}}


== Regular temperament properties ==
== Regular temperament properties ==
Line 431: Line 483:
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
Line 441: Line 493:
| {{mapping| 55 87 }}
| {{mapping| 55 87 }}
| +1.31
| +1.31
| 1.1915
| 1.19
| 7.21
| 7.21
|-
|-
| 2.3.5
| 2.3.5
| 81/80, 6442450944/6103515625
| 81/80, {{monzo| 31 1 -14 }}
| {{mapping| 55 87 128 }}
| {{mapping| 55 87 128 }}
| &minus;0.13
| −0.13
| 2.10
| 2.10
| 9.63
| 9.63
|}
|}
=== Uniform maps ===
{{Uniform map|edo=55}}


=== 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 465: Line 522:
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
|-
! Periods<br />per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br />ratio*
! Associated<br>ratio*
! Temperament
! Temperament
|-
|-
Line 476: Line 533:
| 14/13
| 14/13
| [[Twothirdtonic]] (55f)
| [[Twothirdtonic]] (55f)
|-
| 1
| 8\55
| 174.5
| [[10/9]]~[[11/10]]
| [[Tetracot]] (55c)
|-
|-
| 1
| 1
Line 502: Line 565:
|-
|-
| 5
| 5
| 17\55<br />(5\55)
| 17\55<br>(5\55)
| 370.9<br />(109.1)
| 370.9<br>(109.1)
| 99/80<br />(16/15)
| 99/80<br>(16/15)
| [[Quintosec]]
| [[Quintosec]]
|-
|-
| 11
| 11
| 23\55<br />(3\55)
| 23\55<br>(3\55)
| 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 it is 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 ==
; Subsets of Twothirdtonic[37]
* Undecimal otonal-like pentatonic: 17 8 7 12 11
 
; Subsets of Hendecatonic[33]
* Septimal pentatonic-like: 10 13 9 13 10
* Septimal minor blues-like: 13 10 4 5 13 10
* Septimal heptatonic blues-like: 13 10 4 5 8 5 10
 
; Others
* Sakura-like scale containing [[phi]]: 9 6 18 5 17
* Quasi-[[equiheptatonic]] scale: 8 8 7 9 7 9 7


== Instruments ==
== Instruments ==
Line 521: Line 597:
=== Modern renderings ===
=== Modern renderings ===
; {{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) &ndash; 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=Y5sIjh_Te40 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742&ndash;1749) &ndash; 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=QOPxqNgkVWM "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742&ndash;1749) &ndash; rendered by Claudi Meneghin (2024)
* "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=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"''] &ndash; 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"''] &ndash; 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}}
* [https://www.youtube.com/watch?v=rDvKPuzsno8 ''Fugue'' from "Suite in E minor", HWV 429] (1720) – arranged for Baroque ensemble and drums, rendered by Claudi Meneghin (2025)  


; {{W|Scott Joplin}}
; {{W|Scott Joplin}}
* [https://www.youtube.com/watch?v=GbhpuoIJgxk ''Maple Leaf Rag''] (1899) &ndash; 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) &ndash; 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) &ndash; 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) &ndash; 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) &ndash; 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}}
* [https://www.youtube.com/watch?v=L24G4Y7tZgI ''Yuutsu no Yuutsu''] (2006) &ndash; rendered by MortisTheneRd (2024)
* [https://www.youtube.com/watch?v=L24G4Y7tZgI ''Yuutsu no Yuutsu''] (2006) – rendered by MortisTheneRd (2024)


=== 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]]
* [https://app.box.com/s/8hq89cb3rqqkrhvkxgvqtppa255kcqrq?fbclid=IwY2xjawISjSlleHRuA2FlbQIxMAABHcl5t8n_C7QUJqdEnwSaWBc5u3BpldmcAjhQQljsQIPl1qJ-zdCr9T8NMw_aem_Ez0m-Ls_ZqI0-c0Ld-28Yg ''55edo Melted Syntonic''] (2025)
; [[Budjarn Lambeth]]
* [https://www.youtube.com/watch?v=9c5MtrZFNhA ''Improvisation One in 55edo''] (2025)
* [https://www.youtube.com/watch?v=ggFGUn1Ya2A ''Improvisation Two in 55edo''] (2025)
; [[Claudi Meneghin]]
; [[Claudi Meneghin]]
* [https://www.youtube.com/watch?v=AgsJCTyxqiM ''Double Fugue on "We Wish You a Merry Christmas" for String Quartet''] (2020)
* [https://www.youtube.com/watch?v=AgsJCTyxqiM ''Double Fugue on "We Wish You a Merry Christmas" for String Quartet''] (2020)
Line 547: Line 656:
* [https://www.youtube.com/watch?v=hCUIx1RzvEk ''Chacony "Lament & Deception"'' for Two Violins and Cello] (2021), [https://www.youtube.com/watch?v=abJP4euMlsg for Baroque Wind Ensemble] (2023)
* [https://www.youtube.com/watch?v=hCUIx1RzvEk ''Chacony "Lament & Deception"'' for Two Violins and Cello] (2021), [https://www.youtube.com/watch?v=abJP4euMlsg for Baroque Wind Ensemble] (2023)
* [https://www.youtube.com/watch?v=9zfWeO0eJdA Fantasy "Almost a Fugue" on a Theme by Giuliani, for String Quartet] (2021)
* [https://www.youtube.com/watch?v=9zfWeO0eJdA Fantasy "Almost a Fugue" on a Theme by Giuliani, for String Quartet] (2021)
* [https://www.youtube.com/watch?v=jOiub14Cskw ''Double Fugue on "Old McDonald" + "Shave & a Haircut"''] (2024)
; [[Herman Miller]]
* [https://soundcloud.com/morphosyntax-1/road-trip-to-nowhere ''Road Trip to Nowhere''] (2021)
* [https://soundcloud.com/morphosyntax-1/migration ''Migration''] (2025)


== External links ==
== External links ==
* [http://tonalsoft.com/monzo/55edo/55edo.aspx Mozart's tuning: 55-edo
* ''[http://tonalsoft.com/monzo/55edo/55edo.aspx Mozart's tuning: 55-edo and its close relative, 1/6-comma meantone]'' (containing another listening example) on [[Tonalsoft Encyclopedia]]
and its close relative, 1/6-comma meantone] (containing another listening example) on [[Tonalsoft Encyclopedia]]


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