36edo: Difference between revisions
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
→Music: Add Bryan Deister's ''36edo improv'' (2026) |
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| 17 | | 17 | ||
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| | | [[112/81]] | ||
| [[18/13]] | | [[18/13]] | ||
| [[7/5]] | | [[7/5]] | ||
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| 18 | | 18 | ||
| 600.0 | | 600.0 | ||
| | | [[729/512]], [[1024/729]] | ||
| [[17/12]], [[24/17]] | | [[17/12]], [[24/17]] | ||
| [[45/32]], [[64/45]] | | [[45/32]], [[64/45]] | ||
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| [[13/9]] | | [[13/9]] | ||
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== Notation == | == Notation == | ||
=== | === Stein–Zimmermann–Gould notation === | ||
[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows: | |||
{{Sharpness-sharp3-szg|36}} | |||
If the arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best denoted using double arrows. | |||
=== | === Kite's ups and downs notation === | ||
Spoken as up, downsharp, sharp, upsharp, etc. Note that downsharp can be respelled as dup (double-up), and upflat as dud. | Spoken as up, downsharp, sharp, upsharp, etc. Note that downsharp can be respelled as dup (double-up), and upflat as dud. | ||
{{Ups and downs sharpness}} | {{Ups and downs sharpness}} | ||
=== Colored notes === | |||
One way of notating 36edo (at least for people who are not colorblind) is to use colors. For example, {{colored note|blue|A}} is 33{{frac|3}}{{c}} below {{colored note|A}} and {{colored note|red|A}} is 33{{frac|3}} cents above {{colored note|A}}. Or, the colors could be written out (red A, blue C♯, etc.) or abbreviated as rA, bC♯, etc. This use of red and blue is consistent with [[Kite's_color_notation|color notation]] (ru and zo). | |||
=== Sagittal notation === | === Sagittal notation === | ||
This notation uses the same sagittal sequence as [[43edo#Sagittal notation| | This notation uses the same sagittal sequence as [[43edo #Sagittal notation|43edo]], is a subset of the notation for [[72edo #Sagittal notation|72edo]], and is a superset of the notations for edos [[18edo #Sagittal notation|18]], [[12edo #Sagittal notation|12]], and [[6edo #Sagittal notation|6]]. | ||
==== Evo flavor ==== | ==== Evo flavor ==== | ||
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* [https://www.youtube.com/shorts/3la1W-_-ceA ''36edo cowbell''] (2025) | * [https://www.youtube.com/shorts/3la1W-_-ceA ''36edo cowbell''] (2025) | ||
* [https://www.youtube.com/shorts/MjUdMnUA-2k ''18 tone unequal improv''] (2026) (this is tuned as two rings of [[9edo]] offset by 35{{c}}, to make a good approximation of [[3/2]] available, for a tuning that is an 18 note subset of a well-tempered derivative of 36edo) | * [https://www.youtube.com/shorts/MjUdMnUA-2k ''18 tone unequal improv''] (2026) (this is tuned as two rings of [[9edo]] offset by 35{{c}}, to make a good approximation of [[3/2]] available, for a tuning that is an 18 note subset of a well-tempered derivative of 36edo) | ||
* [https://www.youtube.com/shorts/KCtEYSkEK8U ''36edo improv''] (2026) | |||
; [[E8 Heterotic]] | ; [[E8 Heterotic]] | ||
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; [[Joseph Monzo]] | ; [[Joseph Monzo]] | ||
* [https://m.youtube.com/watch?v=7t79lBI_4_s ''African Rhythms in 36-ET''] (2005) | * [https://m.youtube.com/watch?v=7t79lBI_4_s ''African Rhythms in 36-ET''] (2005) | ||
; [[Norokusi]] | |||
* [https://www.youtube.com/watch?v=JPpjYzddGSg&t=495s ''Symphony for String Orchestra''] (2024) | |||
** [https://www.youtube.com/watch?v=l5SQOI1kTHc ''Arranged for orchestra''] (2026) | |||
; [[NullPointerException Music]] | ; [[NullPointerException Music]] | ||