48edo: Difference between revisions
m →Odd harmonics: approximates a lot of odd harmonics pretty well |
m Text replacement - "Ups and Downs Notation" to "Ups and downs notation" |
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=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|48|columns=14}} | {{Harmonics in equal|48|columns=14}} | ||
{{Harmonics in equal|48|columns=14|start=15|title=Approximation of odd harmonics in 48edo (continued)}} | {{Harmonics in equal|48|columns=14|start=15|collapsed=true|title=Approximation of odd harmonics in 48edo (continued)}} | ||
=== As a tuning standard === | === As a tuning standard === | ||
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! # | ! # | ||
! Cents | ! Cents | ||
! [[Ups and downs notation|Ups and | ! [[Ups and downs notation|Ups and downs notation]] | ||
|- | |- | ||
| 0 | | 0 | ||
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== Notation == | == Notation == | ||
=== Ups and downs notation === | === Ups and downs notation === | ||
48edo can be notated | 48edo 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. | ||
{{Sharpness-sharp4 | {{Sharpness-sharp4a}} | ||
[[Alternative symbols for ups and downs notation]] uses sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]: | |||
{{Sharpness-sharp4}} | |||
=== Sagittal notation === | === Sagittal notation === | ||
This notation is a superset of the notations for EDOs [[24edo#Sagittal notation|24]], [[12edo#Sagittal notation|12]], [[8edo#Sagittal notation|8]], and [[6edo#Sagittal notation|6]]. | This notation is a superset of the notations for EDOs [[24edo#Sagittal notation|24]], [[12edo#Sagittal notation|12]], [[8edo#Sagittal notation|8]], and [[6edo#Sagittal notation|6]]. | ||
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default [[File:48-EDO_Evo-SZ_Sagittal.svg]] | default [[File:48-EDO_Evo-SZ_Sagittal.svg]] | ||
</imagemap> | </imagemap> | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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|} | |} | ||
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | <nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
== Instruments == | |||
* [[Lumatone mapping for 48edo]] | |||
* [[Skip fretting system 48 2 13]] | |||
== Music == | == Music == | ||
; [[Bryan Deister]] | |||
* [https://www.youtube.com/shorts/w1m9PMj0Ato ''48edo layout''] (2025) | |||
; [[E8 Heterotic]] | ; [[E8 Heterotic]] | ||
* [https://youtu.be/puADOWdfjSQ?si=FWEqYKwud-yoI6ae | * [https://youtu.be/puADOWdfjSQ?si=FWEqYKwud-yoI6ae ''Elements - Fire''] from ''Elements'' (2019–2020) | ||
; [[norokusi]] | ; [[norokusi]] | ||
* from ''Works for Strings Vol.1'' (2020) | * from ''Works for Strings Vol.1'' (2020) | ||
** | ** ''Cruise for strings'' – [https://norokusi.bandcamp.com/track/cruise-for-strings-48-tone-microtonal-music-48edo-48tet Bandcamp] | [https://youtu.be/ayilWbYWr54?si=b-H-SR1inT00quT8 YouTube] | ||
** | ** ''Rigel for Strings'' – [https://norokusi.bandcamp.com/track/rigel-for-strings-48-tone-microtonal-music-48edo-48tet Bandcamp] | [https://youtu.be/XjjI6NVRVDs?si=-S_Vcx-8ypvxaODx YouTube] | ||
* [https://youtu.be/bfPx121QqJ4?si=Yfspa9i9Rq2FKbZP ''Elysium Planitia for strings''] (2022) | * [https://youtu.be/bfPx121QqJ4?si=Yfspa9i9Rq2FKbZP ''Elysium Planitia for strings''] (2022) | ||
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; [[Jon Lyle Smith]] | ; [[Jon Lyle Smith]] | ||
* [https://archive.org/download/Quincunx/Quincunx.mp3 ''Quincunx'']{{dead link}} | * [https://archive.org/download/Quincunx/Quincunx.mp3 ''Quincunx'']{{dead link}} | ||
== See also == | == See also == | ||