503edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br />8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{monzo|-797 503}} | | {{monzo|-797 503}} | ||
| {{val|503 797}} | | {{val|503 797}} | ||
| 0.1777 | | +0.1777 | ||
| 0.1777 | | 0.1777 | ||
| 7.45 | | 7.45 | ||
| Line 24: | Line 33: | ||
| {{monzo| 38 -2 -15 }}, {{monzo| -5 31 -19 }} | | {{monzo| 38 -2 -15 }}, {{monzo| -5 31 -19 }} | ||
| {{val| 503 797 1168}} | | {{val| 503 797 1168}} | ||
| 0.0944 | | +0.0944 | ||
| 0.1869 | | 0.1869 | ||
| 7.83 | | 7.83 | ||
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| 2401/2400, 1959552/1953125, 26873856/26796875 | | 2401/2400, 1959552/1953125, 26873856/26796875 | ||
| {{val| 503 797 1168 1412 }} | | {{val| 503 797 1168 1412 }} | ||
| 0.0920 | | +0.0920 | ||
| 0.1619 | | 0.1619 | ||
| 6.79 | | 6.79 | ||
| Line 38: | Line 47: | ||
| 2401/2400, 8019/8000, 24057/24010, 43923/43904 | | 2401/2400, 8019/8000, 24057/24010, 43923/43904 | ||
| {{val| 503 797 1168 1412 1740 }} | | {{val| 503 797 1168 1412 1740 }} | ||
| 0.0866 | | +0.0866 | ||
| 0.1452 | | 0.1452 | ||
| 6.09 | | 6.09 | ||
| Line 45: | Line 54: | ||
| 729/728, 1001/1000, 1716/1715, 4225/4224, 6656/6655 | | 729/728, 1001/1000, 1716/1715, 4225/4224, 6656/6655 | ||
| {{val| 503 797 1168 1412 1740 1861 }} | | {{val| 503 797 1168 1412 1740 1861 }} | ||
| 0.1066 | | +0.1066 | ||
| 0.1400 | | 0.1400 | ||
| 5.87 | | 5.87 | ||
| Line 52: | Line 61: | ||
| 729/728, 936/935, 1001/1000, 1716/1715, 2401/2400, 2601/2600 | | 729/728, 936/935, 1001/1000, 1716/1715, 2401/2400, 2601/2600 | ||
| {{val| 503 797 1168 1412 1740 1861 2056 }} | | {{val| 503 797 1168 1412 1740 1861 2056 }} | ||
| 0.0909 | | +0.0909 | ||
| 0.1352 | | 0.1352 | ||
| 5.67 | | 5.67 | ||
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=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all left-5" | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperaments | |||
|- | |- | ||
| 1 | | 1 | ||
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| 57344/46875 | | 57344/46875 | ||
| [[Subneutral]] | | [[Subneutral]] | ||
|} | |||
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | |||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "optimism" from ''hope in dark times'' (2024) | * "optimism" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/3NSsgELzO7yYspH6khOWsf Spotify] | [https://francium223.bandcamp.com/track/optimism Bandcamp] | [https://www.youtube.com/watch?v=HMSmRAepIzQ YouTube] | ||
* "YOU'RE BORING!" from ''CAPSLOCK'' (2024) | * "YOU'RE BORING!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/7lgeaWyYccByXxvISoPX4m Spotify] | [https://francium223.bandcamp.com/track/youre-boring Bandcamp] | [https://www.youtube.com/watch?v=GLhxsupHAug YouTube] | ||
* "Entrap Fools" from ''Check Us Out'' (2026) – [https://open.spotify.com/track/2DKihbJg3uFXu7zerVCZvl Spotify] | [https://francium223.bandcamp.com/track/entrap-fools Bandcamp] | [https://www.youtube.com/watch?v=emTkkxzYdZw YouTube] | |||
[[Category:Listen]] | [[Category:Listen]] | ||