50edo: Difference between revisions

(6 intermediate revisions by 4 users not shown)

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! Ratios<ref group="note">{{sg|13-limit}}</ref>

! colspan="3" | [[Ups and downs notation]]

([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and vvd2)

|-

| 0

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=== 15-odd-limit interval mappings ===

~~=== Zeta peak index ===~~

~~{{ZPI~~

~~| zpi = 238~~

~~| steps = 49.9385162652878~~

~~| step size = 24.0295485277387~~

~~| tempered height = 6.655352~~

~~| pure height = 4.773808~~

~~| integral = 1.111229~~

~~| gap = 15.942083~~

~~| octave = 1201.47742638693~~

~~| consistent = 10~~

~~| distinct = 9~~

}}

== 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=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}}

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; [[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]]

@@ Line 20: / Line 20: @@
 ! Ratios<ref group="note">{{sg|13-limit}}</ref>
 ! colspan="3" | [[Ups and downs notation]]
+([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and vvd2)
 |-
 | 0
@@ Line 418: / Line 419: @@
 === 15-odd-limit interval mappings ===
 {{Q-odd-limit intervals|50|15}}
-=== Zeta peak index ===
-{{ZPI
-| zpi = 238
-| steps = 49.9385162652878
-| step size = 24.0295485277387
-| tempered height = 6.655352
-| pure height = 4.773808
-| integral = 1.111229
-| gap = 15.942083
-| octave = 1201.47742638693
-| consistent = 10
-| distinct = 9
-}}
 == Regular temperament properties ==
@@ Line 863: / Line 850: @@
 * [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) &ndash; rendered by Claudi Meneghin (2024)
-* [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) &ndash; rendered by Claudi Meneghin (2024)
+* [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) &ndash; 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) &mdash; rendered by Claudi Meneghin (2025, harpsichord sound rendering)
 ; {{W|Nicolaus Bruhns}}
@@ Line 877: / Line 865: @@
 ; [[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]]