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 ===

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* Beatles[10]: 4 3 4 4 3 4 4 4 3 4

* Beatles[17]: 3 1 3 1 3 3 1 3 1 3 1 3 3 1 3 1 3

* ~~Oceanfront~~[5] (quasi-[[equipentatonic]]): 7 8 7 8 7 (''recommended mode: 8 7 7 8 7'')

* Ultrapyth[5] (quasi-[[equipentatonic]]): 7 8 7 8 7 (''recommended mode: 8 7 7 8 7'')

* ~~Oceanfront~~[7]: 7 1 7 7 7 1 7

* Ultrapyth[7]: 7 1 7 7 7 1 7

* ~~Oceanfront~~[12]: 1 6 1 6 1 6 1 1 6 1 6 1

* Ultrapyth[12]: 1 6 1 6 1 6 1 1 6 1 6 1

* ~~Oceanfront~~[17]: 1 5 1 1 1 5 1 1 5 1 1 5 1 1 1 5 1 (''great as a [[dual-fifth]] scale'')

* Ultrapyth[17]: 1 5 1 1 1 5 1 1 5 1 1 5 1 1 1 5 1 (''great as a [[dual-fifth]] scale'')

* ~~Oceanfront~~[22]: 1 1 4 1 1 1 4 1 1 1 1 4 1 1 1 4 1 1 1 4 1 1 (''great as a [[dual-fifth]] scale'')

* Ultrapyth[22]: 1 1 4 1 1 1 4 1 1 1 1 4 1 1 1 4 1 1 1 4 1 1 (''great as a [[dual-fifth]] scale'')

* Passion[9]: 13 3 3 3 3 3 3 3 3

* Passion[12]: 3 3 3 3 3 3 4 3 3 3 3 3

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{| class="wikitable mw-collapsible mw-collapsed"

|+[[Budjarn Lambeth]]'s scales

|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''

|'''Contains [[Template:Idiosyncratic|idiosyncratic terms]].'''

* Opalised ammonite{{idio}} (modmos of Ammonite[8]): 5 4 6 5 2 5 4 6

* [[User:BudjarnLambeth/Antechinus|Antechinus]]{{idio}} (''nonoctave period'')

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* ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''

* ''The scales listed in: [[Oceanfront scales]]'' (not all Budjarn's)

|}

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== Music ==

=== Modern renderings ===

; {{W|Alessandro Marcello}} and {{w|Johann Sebastian Bach}}

* [https://www.youtube.com/watch?v=HTAobydvC20 ''Oboe Concerto in D minor'', BWV 974] (1715) – arranged for oboe & organ by [[Claudi Meneghin]] (2022)

; {{W|Pietro Domenico Paradies}}

* [https://www.youtube.com/watch?v=AJ2sa-fRqbE "Toccata" from ''Harpsichord Sonata in A major''] – arranged for organ by Claudi Meneghin (2023)

=== 21st century ===

; [[Beheld]]

* [https://www.youtube.com/watch?v=IULi2zSdatA ''Mindless vibe''] (2023)

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* [https://www.youtube.com/shorts/m9hmiH8zong ''37edo jam''] (2025)

* [https://www.youtube.com/shorts/mVRbcB2hoBU ''37edo prelude''] (2026)

* [https://www.youtube.com/shorts/Jt6_r6r3lGY ''37edo improv''] (2026)

; [[Francium]]

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* [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]]

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* [https://www.youtube.com/watch?v=taT1DClJ2KM ''Tyrian and Gold''] (2024)

; [[~~User:Fitzgerald Lee|~~Fitzgerald Lee]]

; [[Fitzgerald Lee]]

* [https://www.youtube.com/watch?v=Nr0cUJcL4SU ''Bittersweet End''] (2025)

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; [[Claudi Meneghin]]

* [https://www.youtube.com/watch?v=7dU8eyGbt9I ''Deck The Halls''] (2022)

* [https://www.youtube.com/watch?v=HTAobydvC20 Marcello - Bach: Adagio from BWV 974, arranged for Oboe & Organ, tuned into 37edo] (2022)

* [https://www.youtube.com/watch?v=hpjZZXFM_Fk ''Little Fugue on Happy Birthday''] (2022) – in Passion, 37edo tuning

* [https://www.youtube.com/watch?v=SgHY3snZ5bs ''Fugue on an Original Theme''] (2022)

* [https://www.youtube.com/watch?v=AJ2sa-fRqbE Paradies, Toccata, Arranged for Organ and Tuned into 37edo] (2023)

; [[Micronaive]]

* [https://~~youtu~~.be/TMVRYLvg_cA No.27.50] (2022)

* [https://www.youtube.com/watch?v=TMVRYLvg_cA No.27.50] (2022)

; [[Herman Miller]]

* ''[https://soundcloud.com/morphosyntax-1/luck-of-the-draw Luck of the Draw]'' (2023)

* [https://soundcloud.com/morphosyntax-1/luck-of-the-draw ''Luck of the Draw''] (2023)

; [[Joseph Monzo]]

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; [[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]]

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; [[Stephen Weigel]]

* [https://www.youtube.com/watch?v=71yBnSVBsJk ''Leap Day Cloo ~~(37-TET)~~''] (2025)

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

; ~~<nowiki>XENO~~*n*~~</nowiki>~~

; [[Xeno*n*]]

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

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

== See also ==

@@ 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 783: / Line 784: @@
 * Beatles[10]: 4 3 4 4 3 4 4 4 3 4
 * Beatles[17]: 3 1 3 1 3 3 1 3 1 3 1 3 3 1 3 1 3
-* Oceanfront[5] (quasi-[[equipentatonic]]): 7 8 7 8 7 (''recommended mode: 8 7 7 8 7'')
+* Ultrapyth[5] (quasi-[[equipentatonic]]): 7 8 7 8 7 (''recommended mode: 8 7 7 8 7'')
-* Oceanfront[7]: 7 1 7 7 7 1 7
+* Ultrapyth[7]: 7 1 7 7 7 1 7
-* Oceanfront[12]: 1 6 1 6 1 6 1 1 6 1 6 1
+* Ultrapyth[12]: 1 6 1 6 1 6 1 1 6 1 6 1
-* Oceanfront[17]: 1 5 1 1 1 5 1 1 5 1 1 5 1 1 1 5 1 (''great as a [[dual-fifth]] scale'')
+* Ultrapyth[17]: 1 5 1 1 1 5 1 1 5 1 1 5 1 1 1 5 1 (''great as a [[dual-fifth]] scale'')
-* Oceanfront[22]: 1 1 4 1 1 1 4 1 1 1 1 4 1 1 1 4 1 1 1 4 1 1 (''great as a [[dual-fifth]] scale'')
+* Ultrapyth[22]: 1 1 4 1 1 1 4 1 1 1 1 4 1 1 1 4 1 1 1 4 1 1 (''great as a [[dual-fifth]] scale'')
 * Passion[9]: 13 3 3 3 3 3 3 3 3
 * Passion[12]: 3 3 3 3 3 3 4 3 3 3 3 3
@@ Line 804: / Line 805: @@
 {| class="wikitable mw-collapsible mw-collapsed"
 |+[[Budjarn Lambeth]]'s scales
-|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''
+|'''Contains [[Template:Idiosyncratic|idiosyncratic terms]].'''
 * Opalised ammonite{{idio}} (modmos of Ammonite[8]): 5 4 6 5 2 5 4 6
 * [[User:BudjarnLambeth/Antechinus|Antechinus]]{{idio}} (''nonoctave period'')
@@ Line 835: / Line 838: @@
 * ''The scales listed in: [[User:BudjarnLambeth/Quasipelog theory]]''
+* ''The scales listed in: [[Oceanfront scales]]'' (not all Budjarn's)
 |}
@@ Line 975: / Line 979: @@
 == Music ==
+=== Modern renderings ===
+; {{W|Alessandro Marcello}} and {{w|Johann Sebastian Bach}}
+* [https://www.youtube.com/watch?v=HTAobydvC20 ''Oboe Concerto in D minor'', BWV 974] (1715) – arranged for oboe & organ by [[Claudi Meneghin]] (2022)
+; {{W|Pietro Domenico Paradies}}
+* [https://www.youtube.com/watch?v=AJ2sa-fRqbE "Toccata" from ''Harpsichord Sonata in A major''] – arranged for organ by Claudi Meneghin (2023)
+=== 21st century ===
 ; [[Beheld]]
 * [https://www.youtube.com/watch?v=IULi2zSdatA ''Mindless vibe''] (2023)
@@ Line 983: / Line 995: @@
 * [https://www.youtube.com/shorts/m9hmiH8zong ''37edo jam''] (2025)
 * [https://www.youtube.com/shorts/mVRbcB2hoBU ''37edo prelude''] (2026)
+* [https://www.youtube.com/shorts/Jt6_r6r3lGY ''37edo improv''] (2026)
 ; [[Francium]]
@@ Line 988: / 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 999: / Line 1,018: @@
 * [https://www.youtube.com/watch?v=taT1DClJ2KM ''Tyrian and Gold''] (2024)
-; [[User:Fitzgerald Lee|Fitzgerald Lee]]
+; [[Fitzgerald Lee]]
 * [https://www.youtube.com/watch?v=Nr0cUJcL4SU ''Bittersweet End''] (2025)
@@ Line 1,007: / Line 1,026: @@
 ; [[Claudi Meneghin]]
 * [https://www.youtube.com/watch?v=7dU8eyGbt9I ''Deck The Halls''] (2022)
-* [https://www.youtube.com/watch?v=HTAobydvC20 Marcello - Bach: Adagio from BWV 974, arranged for Oboe & Organ, tuned into 37edo] (2022)
 * [https://www.youtube.com/watch?v=hpjZZXFM_Fk ''Little Fugue on Happy Birthday''] (2022) – in Passion, 37edo tuning
 * [https://www.youtube.com/watch?v=SgHY3snZ5bs ''Fugue on an Original Theme''] (2022)
-* [https://www.youtube.com/watch?v=AJ2sa-fRqbE Paradies, Toccata, Arranged for Organ and Tuned into 37edo] (2023)
 ; [[Micronaive]]
-* [https://youtu.be/TMVRYLvg_cA No.27.50] (2022)
+* [https://www.youtube.com/watch?v=TMVRYLvg_cA No.27.50] (2022)
 ; [[Herman Miller]]
-* ''[https://soundcloud.com/morphosyntax-1/luck-of-the-draw Luck of the Draw]'' (2023)
+* [https://soundcloud.com/morphosyntax-1/luck-of-the-draw ''Luck of the Draw''] (2023)
 ; [[Joseph Monzo]]
@@ Line 1,023: / 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 1,041: / Line 1,058: @@
 ; [[Stephen Weigel]]
-* [https://www.youtube.com/watch?v=71yBnSVBsJk ''Leap Day Cloo (37-TET)''] (2025)
+* [https://www.youtube.com/watch?v=71yBnSVBsJk ''Leap Day Cloo''] (2025)
-; <nowiki>XENO*n*</nowiki>
+; [[Xeno*n*]]
-* ''[https://www.youtube.com/watch?v=_m5u4VviMXw Galantean Drift]'' (2025)
+* [https://www.youtube.com/watch?v=_m5u4VviMXw ''Galantean Drift''] (2025)
 == See also ==