58edo: Difference between revisions

(16 intermediate revisions by 5 users not shown)

Line 8:

While the [[17/1|17th harmonic]] is a cent and a half flat, the harmonics below it are all a little sharp, giving it the sound of a sharp system. Since {{nowrap|58 {{=}} 2 × 29}}, 58edo shares the same excellent perfect fifth with [[29edo]]. It is the last edo to have exactly one [[5L 2s|diatonic]] perfect fifth and no [[5edo]] or [[7edo]] fifths.

The [[19/1|19th]] and [[23/1|23rd]] harmonics are very flat, so it makes sense to use their second-best approximations in the 58hi val. This val is, in fact, one of the first to be [[diamond monotone]] in the 23-odd-limit, past the idiosyncratic 53e val. However, its accuracy is questionable, with primes 19 and 23 being about 13 cents sharp, so one may want to use a larger system like [[62edo]] for the 23-limit instead, which has the added benefit of being meantone.

=== Prime harmonics ===

=== As a tuning of other temperaments ===

As an equal temperament, 58et [[tempering out|tempers out]] [[2048/2025]] in the [[5-limit]]; [[126/125]], [[1728/1715]], and [[5120/5103]] in the [[7-limit]]; [[176/175]], [[243/242]], [[441/440]], [[540/539]], and [[896/891]] in the 11-limit; [[144/143]], [[351/350]], [[364/363]] in the 13-limit. It [[support]]s [[hemififths]], [[myna]], [[diaschismic]], [[harry]], [[mystery]], [[buzzard]], [[thuja]] [[regular temperament|temperament]]s plus a number of [[gravity family]] [[extension]]s, and supplies the [[optimal patent val]] for the 7-, 11- and 13-limit diaschismic, 11- and 13-limit hemififths, 11- and 13-limit thuja, and 13-limit myna. It also supplies the optimal patent val for the 13-limit rank-3 temperaments [[thrush]], [[bluebird]], [[aplonis]] and [[jofur]].

Of all edos which map the syntonic comma ([[81/80]]) to 1 step by patent val, 58edo is the one with the step size closest to 81/80, with one step of 58edo being less than 1{{cent}} narrower than the just interval.

~~=== Prime harmonics ===~~

~~{{Harmonics in equal|58}}~~

=== Subsets and supersets ===

Line 324:

Line 327:

== Notation ==

=== ~~Ups and downs~~ notation ===

=== Stein–Zimmermann–Gould notation ===

58edo ~~can be notated~~ with ~~ups~~ and ~~downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.~~

[[Stein–Zimmermann–Gould notation]] for 58edo uses sharps and flats combined with quartertone accidentals and arrows:

~~Half-sharps and half-flats~~ can be ~~used~~ to ~~avoid triple arrows~~:

If double arrows are not desirable, then arrows can be attached to quartertone accidentals:

~~Alternatively, a combination of quarter tone accidentals~~ and ~~arrow accidentals from~~ [[~~Helmholtz–Ellis~~ notation]] ~~can be used~~.

=== Kite's ups and downs notation ===

58edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.

~~If double arrows are not desirable, then arrows~~ can be ~~attached~~ to ~~quarter-tone accidentals~~:

Half-sharps and half-flats can be used to avoid triple arrows:

=== Ivan Wyschnegradsky's notation ===

Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used:

=== Sagittal notation ===

==== Evo flavor ====

~~<imagemap>~~

~~File:58-EDO_Evo_Sagittal.svg~~

~~desc none~~

==== Evo-SZ flavor ====

~~rect 80 0 300 50 [[Sagittal_notation]]~~

~~rect 300 0 662 80 [https://sagittal.org#periodic~~-~~table Periodic table of EDOs with sagittal notation]~~

~~rect 20 80 120 106 [[81/80]]~~

~~rect 120 80 230 106 [[55/54]]~~

~~rect 230 80 350 106 [[33/32]]~~

~~default [[File:58~~-~~EDO_Evo_Sagittal.svg]]~~

~~</imagemap>~~

==== Revo flavor ====

~~<imagemap>~~

~~File:58-EDO_Revo_Sagittal.svg~~

~~desc none~~

~~rect 80 0 300 50 [[Sagittal_notation]]~~

~~rect 300 0 662 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]~~

~~rect 20 80 120 106 [[81/80]]~~

~~rect 120 80 230 106 [[55/54]]~~

~~rect 230 80 350 106 [[33/32]]~~

~~default [[File:58-EDO_Revo_Sagittal.svg]]~~

~~</imagemap>~~

~~==== Evo-SZ flavor ====~~

~~<imagemap>~~

~~File:58-EDO_Evo-SZ_Sagittal.svg~~

~~desc none~~

~~rect 80 0 300 50 [[Sagittal_notation]]~~

~~rect 300 0 583 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]~~

~~rect 20 80 120 106 [[81/80]]~~

~~rect 120 80 230 106 [[55/54]]~~

~~rect 230 80 350 106 [[33/32]]~~

~~default [[File:58-EDO_Evo-SZ_Sagittal.svg]]~~

~~</imagemap>~~

=== Hemipyth notation ===

Line 383:

Line 359:

|+ style="font-size: 105%; white-space: nowrap;" | Hemipyth notation for 58edo (SW3-style)

|-

! &#~~35;~~

! #

! Cents

! Note names<br />on D

! Note names<br>on D

|-

| 0

Line 600:

Line 576:

| 21/16

| [[Buzzard]] / [[subfourth]]

|-

| 1

| 25\58

| 517.2

| 27/20

| [[Gravity]] / [[abergravity]] / [[gravid]]

|-

| 1

Line 655:

Line 637:

| [[Mystery]]

|}

<nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|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

58et can also be detempered to [[semihemi]] ({{nowrap| 58 & 140 }}), [[supers]] ({{nowrap| 58 & 152 }}), [[condor]] ({{nowrap| 58 & 159 }}), and [[eagle]] ({{nowrap| 58 & 212 }}).

== Octave stretch or compression ==

58edo's approximations of harmonics 3, 5, 7, 11, and 13 can all be improved if slightly [[stretched and compressed tuning|compressing the octave]] is acceptable, using tunings such as [[92edt]] ~~or [[150ed6]].~~

58edo's approximations of harmonics 3, 5, 7, 11, and 13 can all be improved if slightly [[stretched and compressed tuning|compressing the octave]] is acceptable, using tunings such as [[92edt]], [[150ed6]] or [[zpi|289zpi]].

~~What follows is a comparison of stretched- and compressed-octave 58edo tunings.~~

~~; [[zpi|288zpi]]~~

* Step size: 20.736{{c}}, octave size: 1202.69{{c}}

~~Stretching the octave of 58edo by around 2.5{{c}} results in improved primes 11, 13, 19 and 23, but worse primes 2, 3, 5~~, ~~7 and 17. This approximates all harmonics up to 16 within 9.98{{c}}. The tuning 288zpi does this.~~

~~{{Harmonics in cet|20.736|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 288zpi}}~~

~~{{Harmonics in cet|20.736|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 288zpi (continued)}}~~

~~; 58edo~~

* Step size: 20.690{{c}}, octave size: 1200.00{{c}}

~~Pure-octaves 58edo approximates all harmonics up to 16 within 8.28{{c}}.~~

~~{{Harmonics in equal|58|2|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 58edo}}~~

~~{{Harmonics in equal|58|2|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 58edo (continued)}}~~

; [[150ed6]]

* Step size: 20.680{{c}}, octave size: 1199.42{{c}}

Compressing the octave of 58edo by around half a cent results in improved primes 3, 5, 7, 11 and 13 but a worse prime 2. This approximates all harmonics up to 16 within 6.02{{c}}. The tuning 150ed6 does this.

~~{{Harmonics in equal|150|6|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 150ed6}}~~

~~{{Harmonics in equal|150|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 150ed6 (continued)}}~~

~~; [[92edt]]~~

* Step size: 20.673{{c}}, octave size: 1199.06{{c}}

Compressing the octave of 58edo by around 1{{c}} results in improved primes 3, 5, 7, 11 and 13, but a worse prime 2. This approximates all harmonics up to 16 within 4.60{{c}}. The tuning 92edt does this.

~~{{Harmonics in equal|92|3|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 92edt}}~~

~~{{Harmonics in equal|92|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 92edt (continued)}}~~

; [[zpi|289zpi]] ~~/ [[WE|58et, 7-limit WE tuning]]~~

* Step size: 20.666{{c}}, octave size: 1198.63{{c}}

Compressing the octave of 58edo by just under 1.5{{c}} results in improved primes 3, 5, 7, 11 and 13, but a worse prime 2. This approximates all harmonics up to 16 within 5.49{{c}}. Its 7-limit WE tuning and 7-limit [[TE]] tuning both do this. The tuning 289zpi also does this, its octave differing from 7-limit WE by only 0.06{{c}}.

~~{{Harmonics in cet|20.666|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 289zpi}}~~

~~{{Harmonics in cet|20.666|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 289zpi (continued)}}~~

~~; [[WE|58et, 13-limit WE tuning]]~~

* Step size: 20.663{{c}}, octave size: 1198.45{{c}}

~~Compressing the octave of 58edo by just over 1~~.~~5{{c}} results in improved primes 3, 5, 7, 11 and 13, but a worse prime 2. This approximates all harmonics up to 16 within 6.18{{c}}. Its 13-limit WE tuning and 13-limit [[TE]] tuning both do this.~~

~~{{Harmonics in cet|20.663|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 58et, 13-limit WE tuning}}~~

~~{{Harmonics in cet|20.663|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 58et, 13-limit WE tuning (continued)}}~~

== Scales ==

* [[Compdye]]

* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]]

* [[Hemif7]]

* [[Hemif10]]

Line 719:

Line 664:

* [https://www.youtube.com/shorts/4J4MNno-4PA ''58edo improv''] (2025)

* [https://www.youtube.com/shorts/7gkRyld5OU8 ''Waltz in 58edo''] (2025)

* [https://www.youtube.com/shorts/H5XG4lrvrP8 ''58edo groove''] (2025)

; [[Francium]]

Line 725:

Line 671:

; [[Cam Taylor]]

* [https://www.youtube.com/watch?v=Keclakcqie8 ''58EDO, Mystery temperament and 2 rings of Pythagorean on the Lumatone''] (2021)

; [[Xotla]]

* [https://www.youtube.com/watch?v=yTkPhjTEQMw "Wormhole Shmurmhole"], from [https://www.youtube.com/playlist?list=PL4HmfPDldHXueRjmTV-iJN3fsLn_O9jvT ''Just Another Microtonal Music Album''] (2025–2026) – in part, the rest being in 31edo

[[Category:Buzzard]]

@@ Line 8: / Line 8: @@
 While the [[17/1|17th harmonic]] is a cent and a half flat, the harmonics below it are all a little sharp, giving it the sound of a sharp system. Since {{nowrap|58 {{=}} 2 × 29}}, 58edo shares the same excellent perfect fifth with [[29edo]]. It is the last edo to have exactly one [[5L 2s|diatonic]] perfect fifth and no [[5edo]] or [[7edo]] fifths.
+The [[19/1|19th]] and [[23/1|23rd]] harmonics are very flat, so it makes sense to use their second-best approximations in the 58hi val. This val is, in fact, one of the first to be [[diamond monotone]] in the 23-odd-limit, past the idiosyncratic 53e val. However, its accuracy is questionable, with primes 19 and 23 being about 13 cents sharp, so one may want to use a larger system like [[62edo]] for the 23-limit instead, which has the added benefit of being meantone.
+=== Prime harmonics ===
+{{Harmonics in equal|58}}
+=== As a tuning of other temperaments ===
 As an equal temperament, 58et [[tempering out|tempers out]] [[2048/2025]] in the [[5-limit]]; [[126/125]], [[1728/1715]], and [[5120/5103]] in the [[7-limit]]; [[176/175]], [[243/242]], [[441/440]], [[540/539]], and [[896/891]] in the 11-limit; [[144/143]], [[351/350]], [[364/363]] in the 13-limit. It [[support]]s [[hemififths]], [[myna]], [[diaschismic]], [[harry]], [[mystery]], [[buzzard]], [[thuja]] [[regular temperament|temperament]]s plus a number of [[gravity family]] [[extension]]s, and supplies the [[optimal patent val]] for the 7-, 11- and 13-limit diaschismic, 11- and 13-limit hemififths, 11- and 13-limit thuja, and 13-limit myna. It also supplies the optimal patent val for the 13-limit rank-3 temperaments [[thrush]], [[bluebird]], [[aplonis]] and [[jofur]].
 Of all edos which map the syntonic comma ([[81/80]]) to 1 step by patent val, 58edo is the one with the step size closest to 81/80, with one step of 58edo being less than 1{{cent}} narrower than the just interval.
-=== Prime harmonics ===
-{{Harmonics in equal|58}}
 === Subsets and supersets ===
@@ Line 324: / Line 327: @@
 == Notation ==
-=== Ups and downs notation ===
+=== Stein–Zimmermann–Gould notation ===
-edo can be notated with ups and downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.
+[[Stein–Zimmermann–Gould notation]] for 58edo uses sharps and flats combined with quartertone accidentals and arrows:
-{{Sharpness-sharp6a}}
+{{Sharpness-sharp6-szg}}
-Half-sharps and half-flats can be used to avoid triple arrows:
+If double arrows are not desirable, then arrows can be attached to quartertone accidentals:
-{{Sharpness-sharp6b}}
+{{Sharpness-sharp6-qt-szg}}
-Alternatively, a combination of quarter tone accidentals and arrow accidentals from [[Helmholtz–Ellis notation]] can be used.
+=== Kite's ups and downs notation ===
-{{Sharpness-sharp6}}
+edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.
+{{Ups and downs sharpness}}
-If double arrows are not desirable, then arrows can be attached to quarter-tone accidentals:
+Half-sharps and half-flats can be used to avoid triple arrows:
-{{Sharpness-sharp6-qt}}
+{{Ups and downs sharpness|58|true}}
 === Ivan Wyschnegradsky's notation ===
 Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used:
 {{Sharpness-sharp6-iw}}
 === Sagittal notation ===
 ==== Evo flavor ====
-<imagemap>
+{{Sagittal chart|Evo}}
-File:58-EDO_Evo_Sagittal.svg
-desc none
+==== Evo-SZ flavor ====
-rect 80 0 300 50 [[Sagittal_notation]]
+{{Sagittal chart|Evo-SZ}}
-rect 300 0 662 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
-rect 20 80 120 106 [[81/80]]
-rect 120 80 230 106 [[55/54]]
-rect 230 80 350 106 [[33/32]]
-default [[File:58-EDO_Evo_Sagittal.svg]]
-</imagemap>
 ==== Revo flavor ====
-<imagemap>
+{{Sagittal chart}}
-File:58-EDO_Revo_Sagittal.svg
-desc none
-rect 80 0 300 50 [[Sagittal_notation]]
-rect 300 0 662 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
-rect 20 80 120 106 [[81/80]]
-rect 120 80 230 106 [[55/54]]
-rect 230 80 350 106 [[33/32]]
-default [[File:58-EDO_Revo_Sagittal.svg]]
-</imagemap>
-==== Evo-SZ flavor ====
-<imagemap>
-File:58-EDO_Evo-SZ_Sagittal.svg
-desc none
-rect 80 0 300 50 [[Sagittal_notation]]
-rect 300 0 583 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
-rect 20 80 120 106 [[81/80]]
-rect 120 80 230 106 [[55/54]]
-rect 230 80 350 106 [[33/32]]
-default [[File:58-EDO_Evo-SZ_Sagittal.svg]]
-</imagemap>
 === Hemipyth notation ===
@@ Line 383: / Line 359: @@
 |+ style="font-size: 105%; white-space: nowrap;" | Hemipyth notation for 58edo (SW3-style)
 |-
-! &#35;
+! #
 ! Cents
-! Note names<br />on D
+! Note names<br>on D
 |-
 | 0
@@ Line 600: / Line 576: @@
 | 21/16
 | [[Buzzard]] / [[subfourth]]
+|-
+| 1
+| 25\58
+| 517.2
+| 27/20
+| [[Gravity]] / [[abergravity]] / [[gravid]]
 |-
 | 1
@@ Line 655: / Line 637: @@
 | [[Mystery]]
 |}
-<nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|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
 et can also be detempered to [[semihemi]] ({{nowrap| 58 & 140 }}), [[supers]] ({{nowrap| 58 & 152 }}), [[condor]] ({{nowrap| 58 & 159 }}), and [[eagle]] ({{nowrap| 58 & 212 }}).
 == Octave stretch or compression ==
-edo's approximations of harmonics 3, 5, 7, 11, and 13 can all be improved if slightly [[stretched and compressed tuning|compressing the octave]] is acceptable, using tunings such as [[92edt]] or [[150ed6]].
+edo's approximations of harmonics 3, 5, 7, 11, and 13 can all be improved if slightly [[stretched and compressed tuning|compressing the octave]] is acceptable, using tunings such as [[92edt]], [[150ed6]] or [[zpi|289zpi]].
-What follows is a comparison of stretched- and compressed-octave 58edo tunings.
-; [[zpi|288zpi]]
-* Step size: 20.736{{c}}, octave size: 1202.69{{c}}
-Stretching the octave of 58edo by around 2.5{{c}} results in improved primes 11, 13, 19 and 23, but worse primes 2, 3, 5, 7 and 17. This approximates all harmonics up to 16 within 9.98{{c}}. The tuning 288zpi does this.
-{{Harmonics in cet|20.736|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 288zpi}}
-{{Harmonics in cet|20.736|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 288zpi (continued)}}
-; 58edo
-* Step size: 20.690{{c}}, octave size: 1200.00{{c}}
-Pure-octaves 58edo approximates all harmonics up to 16 within 8.28{{c}}.
-{{Harmonics in equal|58|2|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 58edo}}
-{{Harmonics in equal|58|2|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 58edo (continued)}}
-; [[150ed6]]
-* Step size: 20.680{{c}}, octave size: 1199.42{{c}}
-Compressing the octave of 58edo by around half a cent results in improved primes 3, 5, 7, 11 and 13 but a worse prime 2. This approximates all harmonics up to 16 within 6.02{{c}}. The tuning 150ed6 does this.
-{{Harmonics in equal|150|6|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 150ed6}}
-{{Harmonics in equal|150|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 150ed6 (continued)}}
-; [[92edt]]
-* Step size: 20.673{{c}}, octave size: 1199.06{{c}}
-Compressing the octave of 58edo by around 1{{c}} results in improved primes 3, 5, 7, 11 and 13, but a worse prime 2. This approximates all harmonics up to 16 within 4.60{{c}}. The tuning 92edt does this.
-{{Harmonics in equal|92|3|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 92edt}}
-{{Harmonics in equal|92|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 92edt (continued)}}
-; [[zpi|289zpi]] / [[WE|58et, 7-limit WE tuning]]
-* Step size: 20.666{{c}}, octave size: 1198.63{{c}}
-Compressing the octave of 58edo by just under 1.5{{c}} results in improved primes 3, 5, 7, 11 and 13, but a worse prime 2. This approximates all harmonics up to 16 within 5.49{{c}}. Its 7-limit WE tuning and 7-limit [[TE]] tuning both do this. The tuning 289zpi also does this, its octave differing from 7-limit WE by only 0.06{{c}}.
-{{Harmonics in cet|20.666|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 289zpi}}
-{{Harmonics in cet|20.666|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 289zpi (continued)}}
-; [[WE|58et, 13-limit WE tuning]]
-* Step size: 20.663{{c}}, octave size: 1198.45{{c}}
-Compressing the octave of 58edo by just over 1.5{{c}} results in improved primes 3, 5, 7, 11 and 13, but a worse prime 2. This approximates all harmonics up to 16 within 6.18{{c}}. Its 13-limit WE tuning and 13-limit [[TE]] tuning both do this.
-{{Harmonics in cet|20.663|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 58et, 13-limit WE tuning}}
-{{Harmonics in cet|20.663|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 58et, 13-limit WE tuning (continued)}}
 == Scales ==
 * [[Compdye]]
+* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]]
 * [[Hemif7]]
 * [[Hemif10]]
@@ Line 719: / Line 664: @@
 * [https://www.youtube.com/shorts/4J4MNno-4PA ''58edo improv''] (2025)
 * [https://www.youtube.com/shorts/7gkRyld5OU8 ''Waltz in 58edo''] (2025)
+* [https://www.youtube.com/shorts/H5XG4lrvrP8 ''58edo groove''] (2025)
 ; [[Francium]]
@@ Line 725: / Line 671: @@
 ; [[Cam Taylor]]
 * [https://www.youtube.com/watch?v=Keclakcqie8 ''58EDO, Mystery temperament and 2 rings of Pythagorean on the Lumatone''] (2021)
+; [[Xotla]]
+* [https://www.youtube.com/watch?v=yTkPhjTEQMw "Wormhole Shmurmhole"], from [https://www.youtube.com/playlist?list=PL4HmfPDldHXueRjmTV-iJN3fsLn_O9jvT ''Just Another Microtonal Music Album''] (2025–2026) – in part, the rest being in 31edo
 [[Category:Buzzard]]