613edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|613}} == Theory == 613edo is only consistent to the 3-odd-limit and the harmonic 3 is about halfway its steps. It can be used i..." |
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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" | {| 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|-1943 613}} | | {{monzo|-1943 613}} | ||
| {{mapping|613 1943}} | | {{mapping|613 1943}} | ||
| 0.0506 | | +0.0506 | ||
| 0.0506 | | 0.0506 | ||
| 2.58 | | 2.58 | ||
| Line 32: | Line 33: | ||
| 32805/32768, {{monzo|-97 -69 136}} | | 32805/32768, {{monzo|-97 -69 136}} | ||
| {{mapping|613 1943 1423}} | | {{mapping|613 1943 1423}} | ||
| 0.1299 | | +0.1299 | ||
| 0.1194 | | 0.1194 | ||
| 6.10 | | 6.10 | ||
| Line 39: | Line 40: | ||
| 32805/32768, 40500000/40353607, {{monzo|-23 -7 11 7}} | | 32805/32768, 40500000/40353607, {{monzo|-23 -7 11 7}} | ||
| {{mapping|613 1943 1423 1721}} | | {{mapping|613 1943 1423 1721}} | ||
| 0.0814 | | +0.0814 | ||
| 0.1331 | | 0.1331 | ||
| 6.80 | | 6.80 | ||
|} | |} | ||
== Music == | |||
; [[Francium]] | |||
* "Donut" from ''You Are A...'' (2024) – [https://open.spotify.com/track/4vYmtSdt7sU38eYIeUYFf1 Spotify] | [https://francium223.bandcamp.com/track/donut Bandcamp] | [https://www.youtube.com/watch?v=QhAI2F4taxU YouTube] – porcupinefish[15] in 613edo tuning | |||