30edo: Difference between revisions
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30edo is the 3rd {{w|primorial}} edo, being the product of first three primes and thus the smallest number with three distinct prime factors. As a corollary, 30edo is the smallest EDO that supports [[perfectly balanced]] scales that are minimal and not equally spaced. See the article on perfect balance. | 30edo is the 3rd {{w|primorial}} edo, being the product of first three primes and thus the smallest number with three distinct prime factors. As a corollary, 30edo is the smallest EDO that supports [[perfectly balanced]] scales that are minimal and not equally spaced. See the article on perfect balance. | ||
Some multiples of 30edo have high consistency limits - [[270edo]], [[1920edo]], and others are simply useful like [[60edo]]. [[Zinc]] temperament is a rich augmentation of 30edo. | |||
== Intervals == | == Intervals == | ||
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=== Stein–Zimmermann–Gould notation === | === Stein–Zimmermann–Gould notation === | ||
[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows: | [[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows: | ||
{{Sharpness-sharp6-szg}} | {{Sharpness-sharp6-szg}} | ||
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== Scales == | == Scales == | ||
=== MOS scales === | === MOS scales === | ||
{{Main|List of MOS scales in 30edo}} | |||
* [[Lovecraft5|Lovecraft[5]]] - 77772 | * [[Lovecraft5|Lovecraft[5]]] - 77772 | ||
* [[Lovecraft9|Lovecraft[9]]] - 525252522 | * [[Lovecraft9|Lovecraft[9]]] - 525252522 | ||
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{{Idiosyncratic terms|Most of these names were coined, and have so far been soley used by, [[Budjarn Lambeth]].}} | {{Idiosyncratic terms|Most of these names were coined, and have so far been soley used by, [[Budjarn Lambeth]].}} | ||
* Arcade (approximated from [[32afdo]]): 9 3 5 8 5 | * Arcade (approximated from [[32afdo]]): 9 3 5 8 5 | ||
* [[Blackened | * [[User:BudjarnLambeth/Blackened skies|Blackened skies]] (approximated from [[Compton]] in [[72edo]]): 8 5 2 3 2 8 2 | ||
* Carousel (original/default tuning): 9 4 4 9 4 | * Carousel (original/default tuning): 9 4 4 9 4 | ||
* Dewdrops (original/default tuning): 4 4 4 5 4 4 5 | * Dewdrops (original/default tuning): 4 4 4 5 4 4 5 | ||
* Geode (approximated from [[6afdo]]): 7 6 4 9 4 | * Geode (approximated from [[6afdo]]): 7 6 4 9 4 | ||
* [[Lost | * [[User:BudjarnLambeth/Lost spirit|Lost spirit]] (approximated from [[Meantone]] in [[31edo]]): 7 5 2 3 5 3 5 | ||
* Lost phantom (original/default tuning): 8 5 2 2 6 2 5 | * Lost phantom (original/default tuning): 8 5 2 2 6 2 5 | ||
* Mechanical (approximated from [[16afdo]]): 7 2 8 8 5 | * Mechanical (approximated from [[16afdo]]): 7 2 8 8 5 | ||
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== Music == | == Music == | ||
=== Modern renderings === | |||
; {{W|Evanescence}} | |||
* [https://www.youtube.com/watch?v=ppHcUOpbnbI ''Bring Me To Life''] (2003) – microtonal cover in 30edo by [[Bryan Deister]] (2024) | |||
; LouisF (Luis Clemente) | |||
* [https://www.youtube.com/shorts/ujkKJekgDhM ''Balatro Main Theme''] via {{W|Balatro}} (2024) – microtonal cover in 30edo by [[Bryan Deister]] (2026) | |||
; {{W|Mitski}} | |||
* [https://www.youtube.com/shorts/4MI2opBMkd4 ''Eric''] (2012) – microtonal cover in 30edo by [[Bryan Deister]] (2025) | |||
=== 21st century === | |||
; [[Bryan Deister]] | ; [[Bryan Deister]] | ||
* [https://www.youtube.com/watch?v=uSpDz2Dmksw ''microtonal improvisation in 30edo''] (2023) | * [https://www.youtube.com/watch?v=uSpDz2Dmksw ''microtonal improvisation in 30edo''] (2023) | ||
* [https://www.youtube.com/watch?v=NP3HGr3ZD70&lc=UgxFBmbxZa5dF4ZPj0F4AaABAg.AFzcn1LkVZNAG4JYIvXZvZ ''minuet in 30edo''] (2025) | * [https://www.youtube.com/watch?v=NP3HGr3ZD70&lc=UgxFBmbxZa5dF4ZPj0F4AaABAg.AFzcn1LkVZNAG4JYIvXZvZ ''minuet in 30edo''] (2025) | ||
* [https://www.youtube.com/watch?v=pa4YMCae2tE ''waltz in 30edo''] (2025) | * [https://www.youtube.com/watch?v=pa4YMCae2tE ''waltz in 30edo''] (2025) | ||
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** [https://www.youtube.com/shorts/O6nOiLxYPdE <nowiki>[short]</nowiki>] (with Lumatone view) | ** [https://www.youtube.com/shorts/O6nOiLxYPdE <nowiki>[short]</nowiki>] (with Lumatone view) | ||
** [https://www.youtube.com/watch?v=gyrb2-tt_m8 <nowiki>[full version]</nowiki>] | ** [https://www.youtube.com/watch?v=gyrb2-tt_m8 <nowiki>[full version]</nowiki>] | ||
* [https://www.youtube.com/shorts/ZlXSZDSlH2c ''Fantasy in 30edo''] (2026) | |||
; [[Todd Harrop]] | ; [[Todd Harrop]] | ||