50edo: Difference between revisions
→Notations: added the modern (as opposed to the classical) version of the ups and downs accidentals |
→Approximation to JI: -zeta peak index |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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! Ratios<ref group="note">{{sg|13-limit}}</ref> | ! Ratios<ref group="note">{{sg|13-limit}}</ref> | ||
! colspan="3" | [[Ups and downs notation]] | ! colspan="3" | [[Ups and downs notation]] | ||
([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and vvd2) | |||
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=== 15-odd-limit interval mappings === | === 15-odd-limit interval mappings === | ||
{{Q-odd-limit intervals|50|15}} | {{Q-odd-limit intervals|50|15}} | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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* [https://www.youtube.com/watch?v=RnYqc0NKMLM "Ricercar a 3" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2024) | * [https://www.youtube.com/watch?v=RnYqc0NKMLM "Ricercar a 3" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2024) | ||
* [https://www.youtube.com/watch?v=e6fMO-sue4Y "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | * [https://www.youtube.com/watch?v=e6fMO-sue4Y "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | ||
* [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | * [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024, organ sound rendering) | ||
* [https://www.youtube.com/watch?v=qjb9DDM32Ic "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742-1749) — rendered by Claudi Meneghin (2025, harpsichord sound rendering) | |||
; {{W|Nicolaus Bruhns}} | ; {{W|Nicolaus Bruhns}} | ||
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=== 21st century=== | === 21st century=== | ||
; [[Bryan Deister]] | |||
* [https://www.youtube.com/shorts/zCsc5n6dr_I ''microtonal improv in 50edo''] (2024) | |||
* [https://www.youtube.com/shorts/ynz5XvJOHiE ''Piano that may not be played that well - Deltarune (microtonal cover in 50edo)''] (2025) | |||
; [[Francium]] | ; [[Francium]] | ||
* [https://www.youtube.com/watch?v=pH6E35hwUnM ''On My Way To Somewhere''] (2023) | * [https://www.youtube.com/watch?v=pH6E35hwUnM ''On My Way To Somewhere''] (2023) | ||