74edo: Difference between revisions
Dave Keenan (talk | contribs) added Sagittal notation |
Add lumatone mapping link. |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 74 factors into {{factorization|74}}, 74edo contains [[2edo]] and [[37edo]] as its subsets. | Since 74 factors into {{factorization|74}}, 74edo contains [[2edo]] and [[37edo]] as its subsets; of these, 37edo has the same highly accurate prime harmonics in the no-3s [[13-limit]]. | ||
== Intervals == | == Intervals == | ||
{{Interval table}} | {{Interval table}} | ||
== Notation == | == Notation == | ||
===Sagittal notation=== | ===Ups and downs notation=== | ||
====Evo flavor==== | 74edo 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). | ||
{{Sharpness-sharp5a}} | |||
Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. It uses sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]: | |||
{{Sharpness-sharp5}} | |||
=== Sagittal notation === | |||
==== Evo flavor ==== | |||
<imagemap> | <imagemap> | ||
File:74-EDO_Evo_Sagittal.svg | File:74-EDO_Evo_Sagittal.svg | ||
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</imagemap> | </imagemap> | ||
====Revo flavor==== | ==== Revo flavor ==== | ||
<imagemap> | <imagemap> | ||
File:74-EDO_Revo_Sagittal.svg | File:74-EDO_Revo_Sagittal.svg | ||
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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. | ||
== Instruments == | |||
* [[Lumatone mapping for 74edo]] | |||
== Music == | == Music == | ||
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; [[Claudi Meneghin]] | ; [[Claudi Meneghin]] | ||
* ''Twinkle canon'' (2012) – [https://web.archive.org/web/20171009205013/http://soonlabel.com/xenharmonic/archives/573 detail] | [https://web.archive.org/web/20201127015514/http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-74-edo.mp3 play] | * ''Twinkle canon'' (2012) – [https://web.archive.org/web/20171009205013/http://soonlabel.com/xenharmonic/archives/573 detail] | [https://web.archive.org/web/20201127015514/http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-74-edo.mp3 play] | ||
; [[Bryan Deister]] | |||
* [https://www.youtube.com/shorts/ylOGUb395Gg ''microtonal improvisation in 74edo''] (2025) | |||
[[Category:Meantone]] | [[Category:Meantone]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Historical]] | [[Category:Historical]] | ||