659edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|659}} == Theory == 659edo is consistent to the 7-odd-limit and its harmonic 3 is about halfway its steps. Using the 2.9.5.7.11...." |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
| Line 13: | Line 13: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" |[[Subgroup]] | |- | ||
! rowspan="2" |[[Comma list | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" |Optimal<br>8ve | ! rowspan="2" | [[Mapping]] | ||
! colspan="2" |Tuning | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
|- | ! colspan="2" | Tuning error | ||
![[TE error|Absolute]] (¢) | |- | ||
![[TE simple badness|Relative]] (%) | ! [[TE error|Absolute]] (¢) | ||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.9 | | 2.9 | ||
| {{monzo|2089 -659}} | | {{monzo|2089 -659}} | ||
| {{mapping 659 2089}} | | {{mapping|659 2089}} | ||
| | | −0.0056 | ||
| 0.0056 | | 0.0056 | ||
| 1.02 | | 1.02 | ||
| Line 31: | Line 32: | ||
| 2.9.5 | | 2.9.5 | ||
| {{monzo|10 -20 23}}, {{monzo|-83 13 18}} | | {{monzo|10 -20 23}}, {{monzo|-83 13 18}} | ||
| {{mapping 659 2089 1530}} | | {{mapping|659 2089 1530}} | ||
| +0.0357 | | +0.0357 | ||
| 0.0585 | | 0.0585 | ||
| Line 38: | Line 39: | ||
| 2.9.5.7 | | 2.9.5.7 | ||
| 420175/419904, 703125/702464, {{monzo|44 -14 5 -4}} | | 420175/419904, 703125/702464, {{monzo|44 -14 5 -4}} | ||
| {{mapping 659 2089 1530 1850}} | | {{mapping|659 2089 1530 1850}} | ||
| +0.0343 | | +0.0343 | ||
| 0.0507 | | 0.0507 | ||
| Line 45: | Line 46: | ||
| 2.9.5.7.11 | | 2.9.5.7.11 | ||
| 496125/495616, 420175/419904, 151263/151250, 2097152/2096325 | | 496125/495616, 420175/419904, 151263/151250, 2097152/2096325 | ||
| {{mapping 659 2089 1530 1850 2280}} | | {{mapping|659 2089 1530 1850 2280}} | ||
| +0.0028 | | +0.0028 | ||
| 0.0777 | | 0.0777 | ||
| Line 52: | Line 53: | ||
| 2.9.5.7.11.13 | | 2.9.5.7.11.13 | ||
| 1575/1573, 4096/4095, 86625/86528, 31250/31213, 650000/649539 | | 1575/1573, 4096/4095, 86625/86528, 31250/31213, 650000/649539 | ||
| {{mapping 659 2089 1530 1850 2280 2439}} | | {{mapping|659 2089 1530 1850 2280 2439}} | ||
| | | −0.0313 | ||
| 0.1042 | | 0.1042 | ||
| 18.97 | | 18.97 | ||
|} | |} | ||
== Music == | |||
; [[Francium]] | |||
* "In My Wildest Dreams" from ''Abbreviations Gone Wrong'' (2024) – [https://open.spotify.com/track/1RQsBF3qi9n13jVfCUgbN7 Spotify] | [https://francium223.bandcamp.com/track/in-my-wildest-dreams Bandcamp] | [https://www.youtube.com/watch?v=NDciaAdI44g YouTube] | |||