37edo: Difference between revisions

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== Notation ==

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

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

37edo can be notated using [[Kite's ups and downs notation|ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.

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

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

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

37edo can also be notated using [[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.

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

~~[[Alternative symbols for ups and downs notation #Sharp-6|Alternative ups and downs]] have sharps and flats with arrows borrowed from extended [[Helmholtz–Ellis notation]]:~~

~~{{Sharpness-sharp6}}~~

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

~~{{Sharpness-sharp6-qt}}~~

=== Ivan Wyschnegradsky's notation ===

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

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default [[File:37-EDO_Evo-SZ_Sagittal.svg]]

</imagemap>

== Approximation to JI ==

=== Interval mappings ===

Line 1,000:

Line 1,001:

* [https://www.youtube.com/watch?v=ngxSiuVadls ''A Dark Era Arises''] (2023) – in Porcupine[15], 37edo tuning

* [https://www.youtube.com/watch?v=U93XFJJ1aXw ''Two Faced People''] (2025) – in Twothirdtonic[10], 37edo tuning

; [[groundfault]]

* From ''Souvenirs of the Affliction'' (2025) – [https://groundfco.bandcamp.com/album/souvenirs-of-the-affliction Bandcamp] | [https://www.youtube.com/watch?v=rrjuGmmodn0 YouTube]

** "The Life Unreachable"

** "Not This Time"

; [[Andrew Heathwaite]]

* [https://andrewheathwaite.bandcamp.com/~~track~~/~~shorn-brown "Shorn Brown"] from~~ ''Newbeams'' (2012)

* From [https://andrewheathwaite.bandcamp.com/album/newbeams ''Newbeams''] (2012)

* ~~[https://andrewheathwaite.bandcamp.com/track/jellybear~~ "Jellybear"~~] from ''Newbeams'' (2012)~~

** "Shorn Brown"

** "Jellybear"

; [[Aaron Krister Johnson]]

Line 1,033:

Line 1,040:

; [[Mundoworld]]

* ''Reckless Discredit'' (2021) [https://www.youtube.com/watch?v=ovgsjSoHOkg YouTube] · [https://mundoworld.bandcamp.com/track/reckless-discredit Bandcamp]

* ''Reckless Discredit'' (2021) – [https://www.youtube.com/watch?v=ovgsjSoHOkg YouTube] · [https://mundoworld.bandcamp.com/track/reckless-discredit Bandcamp]

; [[Ray Perlner]]

Line 1,053:

Line 1,060:

* [https://www.youtube.com/watch?v=71yBnSVBsJk ''Leap Day Cloo''] (2025)

; [[Xeno ~~Ov Eleas~~]]

; [[Xeno*n*]]

* [https://www.youtube.com/watch?v=_m5u4VviMXw ''Galantean Drift''] (2025)

@@ Line 574: / Line 574: @@
 == Notation ==
-=== Ups and downs notation ===
+=== Stein–Zimmermann–Gould notation ===
-edo can be notated using [[Kite's ups and downs notation|ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.
+[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
+{{Sharpness-sharp6-szg}}
+If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
+{{Sharpness-sharp6-qt-szg}}
+=== Kite's ups and downs notation ===
+edo can also be notated using [[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.
 {{Sharpness-sharp6a}}
 Half-sharps and half-flats can be used to avoid triple arrows:
 {{Sharpness-sharp6b}}
-[[Alternative symbols for ups and downs notation #Sharp-6|Alternative ups and downs]] have sharps and flats with arrows borrowed from extended [[Helmholtz–Ellis notation]]:
-{{Sharpness-sharp6}}
-If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
-{{Sharpness-sharp6-qt}}
 === Ivan Wyschnegradsky's notation ===
 Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used:
 {{Sharpness-sharp6-iw}}
@@ Line 624: / Line 624: @@
 default [[File:37-EDO_Evo-SZ_Sagittal.svg]]
 </imagemap>
 == Approximation to JI ==
 === Interval mappings ===
@@ Line 1,000: / Line 1,001: @@
 * [https://www.youtube.com/watch?v=ngxSiuVadls ''A Dark Era Arises''] (2023) – in Porcupine[15], 37edo tuning
 * [https://www.youtube.com/watch?v=U93XFJJ1aXw ''Two Faced People''] (2025) – in Twothirdtonic[10], 37edo tuning
+; [[groundfault]]
+* From ''Souvenirs of the Affliction'' (2025) – [https://groundfco.bandcamp.com/album/souvenirs-of-the-affliction Bandcamp] | [https://www.youtube.com/watch?v=rrjuGmmodn0 YouTube]
+** "The Life Unreachable"
+** "Not This Time"
 ; [[Andrew Heathwaite]]
-* [https://andrewheathwaite.bandcamp.com/track/shorn-brown "Shorn Brown"] from ''Newbeams'' (2012)
+* From [https://andrewheathwaite.bandcamp.com/album/newbeams ''Newbeams''] (2012)
-* [https://andrewheathwaite.bandcamp.com/track/jellybear "Jellybear"] from ''Newbeams'' (2012)
+** "Shorn Brown"
+** "Jellybear"
 ; [[Aaron Krister Johnson]]
@@ Line 1,033: / Line 1,040: @@
 ; [[Mundoworld]]
-* ''Reckless Discredit'' (2021) [https://www.youtube.com/watch?v=ovgsjSoHOkg YouTube] · [https://mundoworld.bandcamp.com/track/reckless-discredit Bandcamp]
+* ''Reckless Discredit'' (2021) – [https://www.youtube.com/watch?v=ovgsjSoHOkg YouTube] · [https://mundoworld.bandcamp.com/track/reckless-discredit Bandcamp]
 ; [[Ray Perlner]]
@@ Line 1,053: / Line 1,060: @@
 * [https://www.youtube.com/watch?v=71yBnSVBsJk ''Leap Day Cloo''] (2025)
-; [[Xeno Ov Eleas]]
+; [[Xeno*n*]]
 * [https://www.youtube.com/watch?v=_m5u4VviMXw ''Galantean Drift''] (2025)