53edo: Difference between revisions
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== Relationship to 12edo == | == Relationship to 12edo == | ||
53edo's [[circle of fifths|circle of 53 fifths]] can be bent into a [[spiral chart|12-spoked "spiral of fifths"]]. This is | 53edo's [[circle of fifths|circle of 53 fifths]] can be bent into a [[spiral chart|12-spoked "spiral of fifths"]]. This makes sense to do because going up by 12 fifths results in the Pythagorean comma (by definition), which is mapped to one edostep and is thus also the syntonic and septimal comma, introducing a simple second accidental in the form of the arrow to reach useful intervals from the basic 12-chromatic scale. The one-edostep comma is a requirement in Kite's theory, and implies that 31\53 is on the 7\12 kite in the [[scale tree]]. | ||
This "spiral of fifths" can be a useful construct for introducing 53edo to musicians unfamiliar with microtonal music. It may help composers and musicians to make visual sense of the notation, and to understand what size of a jump is likely to land them where compared to 12edo. | This "spiral of fifths" can be a useful construct for introducing 53edo to musicians unfamiliar with microtonal music. It may help composers and musicians to make visual sense of the notation, and to understand what size of a jump is likely to land them where compared to 12edo. | ||
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Note that the high primes, in [[rooted]] (/2<sup>''n''</sup>) position, essentially act as alternate interpretations of [[LCJI]] intervals, if you want to force a rooted interpretation; namely: [[71/64]] as ~[[10/9]], [[73/64]] as ~[[8/7]], [[79/64]] as ~[[16/13]], and perhaps most questionably in the context of 53edo, [[83/64]] as ~[[13/10]]. | Note that the high primes, in [[rooted]] (/2<sup>''n''</sup>) position, essentially act as alternate interpretations of [[LCJI]] intervals, if you want to force a rooted interpretation; namely: [[71/64]] as ~[[10/9]], [[73/64]] as ~[[8/7]], [[79/64]] as ~[[16/13]], and perhaps most questionably in the context of 53edo, [[83/64]] as ~[[13/10]]. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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| 16/15 | | 16/15 | ||
| [[Misneb]] | | [[Misneb]] | ||
|- | |||
| 1 | |||
| 6\53 | |||
| 135.8 | |||
| [[13/12]]~[[14/13]] | |||
| [[Doublethink]] | |||
|- | |- | ||
| 1 | | 1 | ||
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* Ptolmey–Zarlino justly-intonated major: 9 8 5 9 8 9 5 | * Ptolmey–Zarlino justly-intonated major: 9 8 5 9 8 9 5 | ||
* Ptolmey–Zarlino justly-intonated minor: 9 5 8 9 5 9 8 | * Ptolmey–Zarlino justly-intonated minor: 9 5 8 9 5 9 8 | ||
; From [[AFDO]]s | |||
{{Idiosyncratic terms}} | |||
* Composite Cliffedge (approximated from [[60afdo]]): 12 10 9 19 3 | * Composite Cliffedge (approximated from [[60afdo]]): 12 10 9 19 3 | ||
* Composite Deja Vu (approximated from [[101afdo]]): 14 17 5 9 8 | * Composite Deja Vu (approximated from [[101afdo]]): 14 17 5 9 8 | ||
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=== Other scales === | === Other scales === | ||
* [[cthon5m]]: 6 3 6 2 3 6 2 3 6 3 2 6 3 2 | * [[cthon5m]]: 6 3 6 2 3 6 2 3 6 3 2 6 3 2 | ||
* Palace (approximated from [[Porky]] in [[29edo]]): 7 7 8 9 7 7 8 | * Palace{{idio}} (approximated from [[Porky]] in [[29edo]]): 7 7 8 9 7 7 8 | ||
== Instruments == | |||
* [[Lumatone mapping for 53edo]] | |||
* [[Skip fretting system 53 3 14]] | |||
* [[Skip fretting system 53 3 17]] | |||
== Music == | == Music == | ||
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=== 21st century === | === 21st century === | ||
; [[Bryan Deister]] | |||
* [https://www.youtube.com/shorts/r-Tzq33OGM4 ''microtonal improvisation in 53edo''] (2025) | |||
; [[Francium]] | ; [[Francium]] | ||
* [https://www.youtube.com/watch?v=GLQ1gD4bshY ''Space Race''] (2022) | * [https://www.youtube.com/watch?v=GLQ1gD4bshY ''Space Race''] (2022) | ||
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* "It's a Good Idea to Have a Good Time." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/3rYiNMcOQ5Oxz7F6mQZsfw Spotify] | [https://francium223.bandcamp.com/track/its-a-good-idea-to-have-a-good-time Bandcamp] | [https://www.youtube.com/watch?v=D-i-4Sv-vqE YouTube] | * "It's a Good Idea to Have a Good Time." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/3rYiNMcOQ5Oxz7F6mQZsfw Spotify] | [https://francium223.bandcamp.com/track/its-a-good-idea-to-have-a-good-time Bandcamp] | [https://www.youtube.com/watch?v=D-i-4Sv-vqE YouTube] | ||
* "Decearing Egg" from ''Eggs'' (2025) – [https://open.spotify.com/track/2KfOutrIDfbk4S9kxYi8sL Spotify] | [https://francium223.bandcamp.com/track/decearing-egg Bandcamp] | [https://www.youtube.com/watch?v=_CJ5MgIRKnM YouTube] | * "Decearing Egg" from ''Eggs'' (2025) – [https://open.spotify.com/track/2KfOutrIDfbk4S9kxYi8sL Spotify] | [https://francium223.bandcamp.com/track/decearing-egg Bandcamp] | [https://www.youtube.com/watch?v=_CJ5MgIRKnM YouTube] | ||
* "Husband Head Void" from ''Void'' (2025) – [https://open.spotify.com/track/4yvyDZv8dBjOiurzoTjpBj Spotify] | [https://francium223.bandcamp.com/track/husband-head-void Bandcamp] | [https://www.youtube.com/watch?v=HMnklwjEdF0 YouTube] | |||
* "Lasagna Cat" from ''Microtonal Six-Dimensional Cats'' (2025) – [https://open.spotify.com/track/6sJil69QOqxNWrWrkgm3rl Spotify] | [https://francium223.bandcamp.com/track/lasagna-cat Bandcamp] | [https://www.youtube.com/watch?v=Ay2zhVnTlxw YouTube] | |||
; [[Andrew Heathwaite]] | ; [[Andrew Heathwaite]] | ||
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; [[Cam Taylor]] | ; [[Cam Taylor]] | ||
* [https://soundcloud.com/cam-taylor-2-1/mothers ''mothers''] (2014) | * [https://soundcloud.com/cam-taylor-2-1/mothers ''mothers''] (2014) | ||
* [https://www.youtube.com/watch?v=xIy8I0XfUDI ''Schumann: The Poet Speaks in 53-equal (5-limit) on the Lumatone''] (2022) | |||
* [https://www.youtube.com/watch?v=vpgbnACq1rA ''53-equal: lydian/aeolian pentatonic''] (2023) | |||
* [https://www.youtube.com/watch?v=LyWW3w7PhlE ''53-equal Luma MKI: around a drone on middle C''] (2023) | |||
* [https://www.youtube.com/watch?v=l9Y8NEqIkug ''22 shrutis as Schismatic[22] in A446Hz (53-equal)''] (2024) | |||
* [https://www.youtube.com/watch?v=IdiMNP4MSx8&t=2s&pp=0gcJCbIJAYcqIYzv ''A meander around 53-equal on the Lumatone''] (2025) (this is actually a keyboard mapping guide) | |||
; [[Chris Vaisvil]] | ; [[Chris Vaisvil]] | ||
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* "Taking Flight" from ''Nano Particular'' (2019) – [https://open.spotify.com/track/2zp6oM57m6BvQgyOZ5kmuZ Spotify] | [https://xotla.bandcamp.com/track/taking-flight-53edo Bandcamp] | [https://www.youtube.com/watch?v=sIsfYQATouc YouTube] | * "Taking Flight" from ''Nano Particular'' (2019) – [https://open.spotify.com/track/2zp6oM57m6BvQgyOZ5kmuZ Spotify] | [https://xotla.bandcamp.com/track/taking-flight-53edo Bandcamp] | [https://www.youtube.com/watch?v=sIsfYQATouc YouTube] | ||
* "Detective Duckweed" from ''Jazzbeetle'' (2023) – [https://open.spotify.com/track/77iDGy7hRx8az3ODrDm5Kl Spotify] | [https://xotla.bandcamp.com/track/detective-duckweed-53edo Bandcamp] | [https://youtu.be/FNXEPB4Gm54 YouTube] – jazzy big band electronic hybrid | * "Detective Duckweed" from ''Jazzbeetle'' (2023) – [https://open.spotify.com/track/77iDGy7hRx8az3ODrDm5Kl Spotify] | [https://xotla.bandcamp.com/track/detective-duckweed-53edo Bandcamp] | [https://youtu.be/FNXEPB4Gm54 YouTube] – jazzy big band electronic hybrid | ||
== Notes == | == Notes == | ||
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<references/> | <references/> | ||
[[Category:3-limit record edos|##]] <!-- 2-digit number --> | |||
[[Category:Amity]] | [[Category:Amity]] | ||
[[Category:Kleismic]] | [[Category:Kleismic]] | ||
[[Category:Island]] | [[Category:Island]] | ||
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[[Category:Orwell]] | [[Category:Orwell]] | ||
[[Category:Schismic]] | [[Category:Schismic]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||