67edo: Difference between revisions

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== Notation ==

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

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

67edo can be notated with [[ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).

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

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

67edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).

Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. Here, this can be done using sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:

~~{{Sharpness-sharp5}}~~

=== Sagittal notation ===

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</imagemap>

In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this ~~EDO~~.

In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation #Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this edo.

== Scales ==

=== Mos scales ===

* Meantone[5]: 11 11 17 11 17

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=== Others ===

* Approximation of [[Pelog]] lima: 6 10 22 7 22

* Approximation of ''[[Pelog]] lima'': 6 10 22 7 22

* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]] ''(octave-reduced: 9 6 23 16 13)''

* Arcade (approximated from [[32afdo]]): 22 4 13 15 13

* Cosmic (approximated from [[32afdo]]): 29 10 6 11 11

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* Sourgummy (approximated from [[51afdo]]): 14 12 14 14 13

* Bubblegum/Cola (approximated from [[60afdo]]/[[99afdo]]): 14 13 13 13 14

* ~~Spearmint~~/Whitechocolate (approximated from [[62afdo]]/[[90afdo]]): 13 14 13 14 13

* Tropicalpunch/Whitechocolate (approximated from [[62afdo]]/[[90afdo]]): 13 14 13 14 13

* Lemonade (approximated from [[79afdo]]): 14 13 13 14 13

* Candycorn (approximated from [[91afdo]]): 11 12 11 10 12 11

* Trailmix (approximated from [[97afdo]]): 11 11 11 12 11 11

* Liquorice (approximated from [[101afdo]]): 11 11 12 10 12 11

* ~~Apple Mint~~ (approximated from [[80afdo]]): 9 11 9 9 10 9 10

* Fishcracker (approximated from [[80afdo]]): 9 11 9 9 10 9 10

== Instruments ==

* [[Lumatone mapping for 67edo]]

== Music ==

* [http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/67-edo.mp3 Beginning of a piece in 67 tone]~~, [[Peter Kosmorsky]]~~ {{dead link}}

; [[Bryan Deister]]

* [https://youtu.be/xeOjzyXJl_M 67edo Negri8 MODMOS Improvisation]~~, [[Budjarn Lambeth]]~~

* [https://www.youtube.com/shorts/uwxey9_jINA ''microtonal improvisation in 67edo''] (2025)

* [https://www.youtube.com/shorts/L6BXGZyvK8Y ''67edo prelude''] (2025)

* [https://www.youtube.com/shorts/za_Ov95HbjQ ''improv in 67edo''] (2025)

; [[Delta Quartz]]

* [https://youtu.be/WOguarC1lEI ''Making microtonality accessible - "Keep It Tight"''] (2026) (also has a small amount of 24edo)

; [[Dolores Catherino]]

* [https://youtu.be/AYHpxeM6o_g ''Moments of Unexpected Beauty''] (2026)

; [[Peter Kosmorsky]]

* [http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/67-edo.mp3 Beginning of a piece in 67 tone] (2011) {{dead link}}

; [[Budjarn Lambeth]]

* [https://youtu.be/xeOjzyXJl_M 67edo Negri8 MODMOS Improvisation] (2024)

[[Category:Equal divisions of the octave|##]]

[[Category:Meantone]]

[[Category:Listen]]

@@ Line 17: / Line 17: @@
 == Notation ==
-=== Ups and downs notation ===
+=== Stein–Zimmermann–Gould notation ===
-edo can be notated with [[ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).
+[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
+{{Sharpness-sharp5-szg}}
+=== Kite's ups and downs notation ===
+edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).
 {{Sharpness-sharp5a}}
-Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. Here, this can be done using sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:
-{{Sharpness-sharp5}}
 === Sagittal notation ===
@@ Line 48: / Line 50: @@
 </imagemap>
-In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this EDO.
+In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation #Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this edo.
 == Scales ==
+{{Idiosyncratic terms}}
 === Mos scales ===
 * Meantone[5]: 11 11 17 11 17
@@ Line 101: / Line 105: @@
 === Others ===
-* Approximation of [[Pelog]] lima: 6 10 22 7 22
+* Approximation of ''[[Pelog]] lima'': 6 10 22 7 22
+* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]] ''(octave-reduced: 9 6 23 16 13)''
 * Arcade (approximated from [[32afdo]]): 22 4 13 15 13
 * Cosmic (approximated from [[32afdo]]): 29 10 6 11 11
@@ Line 114: / Line 119: @@
 * Sourgummy (approximated from [[51afdo]]): 14 12 14 14 13
 * Bubblegum/Cola (approximated from [[60afdo]]/[[99afdo]]): 14 13 13 13 14
-* Spearmint/Whitechocolate (approximated from [[62afdo]]/[[90afdo]]): 13 14 13 14 13
+* Tropicalpunch/Whitechocolate (approximated from [[62afdo]]/[[90afdo]]): 13 14 13 14 13
 * Lemonade (approximated from [[79afdo]]): 14 13 13 14 13
 * Candycorn (approximated from [[91afdo]]): 11 12 11 10 12 11
 * Trailmix (approximated from [[97afdo]]): 11 11 11 12 11 11
 * Liquorice (approximated from [[101afdo]]): 11 11 12 10 12 11
-* Apple Mint (approximated from [[80afdo]]): 9 11 9 9 10 9 10
+* Fishcracker (approximated from [[80afdo]]): 9 11 9 9 10 9 10
+== Instruments ==
+* [[Lumatone mapping for 67edo]]
 == Music ==
-* [http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/67-edo.mp3 Beginning of a piece in 67 tone], [[Peter Kosmorsky]] {{dead link}}
+; [[Bryan Deister]]
-* [https://youtu.be/xeOjzyXJl_M 67edo Negri8 MODMOS Improvisation], [[Budjarn Lambeth]]
+* [https://www.youtube.com/shorts/uwxey9_jINA ''microtonal improvisation in 67edo''] (2025)
+* [https://www.youtube.com/shorts/L6BXGZyvK8Y ''67edo prelude''] (2025)
+* [https://www.youtube.com/shorts/za_Ov95HbjQ ''improv in 67edo''] (2025)
+; [[Delta Quartz]]
+* [https://youtu.be/WOguarC1lEI ''Making microtonality accessible - "Keep It Tight"''] (2026) (also has a small amount of 24edo)
+; [[Dolores Catherino]]
+* [https://youtu.be/AYHpxeM6o_g ''Moments of Unexpected Beauty''] (2026)
+; [[Peter Kosmorsky]]
+* [http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/67-edo.mp3 Beginning of a piece in 67 tone] (2011) {{dead link}}
+; [[Budjarn Lambeth]]
+* [https://youtu.be/xeOjzyXJl_M 67edo Negri8 MODMOS Improvisation] (2024)
 [[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->
 [[Category:Meantone]]
 [[Category:Listen]]