69edo: Difference between revisions
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== Notation == | == Notation == | ||
=== | === Stein–Zimmermann–Gould notation === | ||
69edo can be notated with [[ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat. | [[Stein–Zimmermann–Gould notation]] uses sharps and flats along with quartertone accidentals and arrows: | ||
{{Sharpness-sharp4-szg}} | |||
=== Kite's ups and downs notation === | |||
69edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat. | |||
{{Sharpness-sharp4a}} | {{Sharpness-sharp4a}} | ||
=== Sagittal notation === | === Sagittal notation === | ||
This notation uses the same sagittal sequence as | This notation uses the same sagittal sequence as edos [[62edo #Sagittal notation|62]] and [[76edo #Sagittal notation|76]]. | ||
==== Evo flavor ==== | ==== Evo flavor ==== | ||
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</imagemap> | </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 | 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. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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|1 | |1 | ||
|5\69 | |5\69 | ||
|[[Devichromic chords|Devichromic Octacot]]<ref group="note" name="tempname">Placeholder name, with link to [[Devichromic chords]] article — no general article currently exists for Devichromic temperament, and this particular incarnation of Devichromic temperament is likely to receive a different permanent name. The temperament is [https://x31eq.com/pyscript/uv.html?uvs=81%3A80+400%3A399+%5B17%2C-1%2C8%2C0%2C-8%3E&page=0&limit=2_3_5_7_19 14c & 55d], specified by the 2.3.5.7.19 subgroup unison vector list [-4, 4, -1, 0, 0⟩ ([[81/80]]), [4, -1, 2, -1, -1⟩ ([[400/399]]), [17, -1, 8, 0, -8⟩ (51200000000/50950689123), the last of which currently has no article, but equates a stack of eight [[20/19]]s to [[3/2]].</ref> | |[[Devichromic chords|Devichromic Octacot]]<ref group="note" name="tempname">Placeholder name, with link to [[Devichromic chords]] article — no general article currently exists for Devichromic temperament, and as a weak extension of meantone, this particular incarnation of Devichromic temperament is likely to receive a different permanent name. The temperament is [https://x31eq.com/pyscript/uv.html?uvs=81%3A80+400%3A399+%5B17%2C-1%2C8%2C0%2C-8%3E&page=0&limit=2_3_5_7_19 14c & 55d], specified by the 2.3.5.7.19 subgroup unison vector list [-4, 4, -1, 0, 0⟩ ([[81/80]]), [4, -1, 2, -1, -1⟩ ([[400/399]]), [17, -1, 8, 0, -8⟩ (51200000000/50950689123), the last of which currently has no article, but equates a stack of eight [[20/19]]s to [[3/2]].</ref> | ||
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== Music == | == Music == | ||
=== Modern renderings === | |||
; {{W|Mili (band)|Mili}} | |||
* [https://www.youtube.com/shorts/4XBELeySMPk ''Compass''] (2023) — microtonal cover in 69edo by [[Bryan Deister]] (2025) | |||
=== 21st century === | |||
; [[Bryan Deister]] | ; [[Bryan Deister]] | ||
* [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025) | * [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025) | ||
* [https://www.youtube.com/shorts/GOjgAm6uwOY ''69edo waltz''] (2025) | * [https://www.youtube.com/shorts/GOjgAm6uwOY ''69edo waltz''] (2025) | ||
* [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026) | |||
; [[Eliora]] | ; [[Eliora]] | ||