2711edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|2711}} == Theory == 2711et tempers out 78125000/78121827 in the 7-limit; 35156250/35153041, 14348907/14348180, 21437500/21434787, 151263/151250,..." |
→Regular temperament properties: review the comma bases. This et definitely doesn't support either hemischis or lafa in any obvious way (if it does in a certain val, the val should be given in the theory section) |
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===Subsets and supersets=== | ===Subsets and supersets=== | ||
2711edo is the 395th [[prime edo]]. | 2711edo is the 395th [[prime edo]]. | ||
==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" | [[Subgroup]] | ||
! rowspan="2" |[[Comma list|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" |Tuning Error | ! colspan="2" | Tuning Error | ||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
|2.3 | | 2.3 | ||
|{{monzo|4297 -2711}} | | {{monzo| 4297 -2711 }} | ||
|{{val|2711 4297}} | | {{val| 2711 4297 }} | ||
| -0.0233 | | -0.0233 | ||
| 0.0233 | | 0.0233 | ||
| 5.26 | | 5.26 | ||
|- | |- | ||
|2.3.5 | | 2.3.5 | ||
|{{monzo|77 -31 -12}}, {{monzo|18 -89 53}} | | {{monzo| 77 -31 -12 }}, {{monzo| 18 -89 53 }} | ||
|{{val|2711 4297 6295}} | | {{val| 2711 4297 6295 }} | ||
| -0.0316 | | -0.0316 | ||
| 0.0223 | | 0.0223 | ||
| 5.04 | | 5.04 | ||
|- | |- | ||
|2.3.5.7 | | 2.3.5.7 | ||
|{{monzo|3 -13 10 -2}}, {{monzo|37 -9 -11 1}}, {{monzo|0 -11 -7 12}} | | {{monzo| 3 -13 10 -2 }}, {{monzo| 37 -9 -11 1 }}, {{monzo| 0 -11 -7 12 }} | ||
|{{val|2711 4297 6295 7611}} | | {{val| 2711 4297 6295 7611 }} | ||
| -0.0340 | | -0.0340 | ||
| 0.0198 | | 0.0198 | ||
| 4.47 | | 4.47 | ||
|- | |- | ||
|2.3.5.7.11 | | 2.3.5.7.11 | ||
|151263/151250, 2359296/2358125, 21437500/21434787 | | 151263/151250, 14348907/14348180, 2359296/2358125, 21437500/21434787 | ||
|{{val|2711 4297 6295 7611 9379}} | | {{val| 2711 4297 6295 7611 9379 }} | ||
| -0.0395 | | -0.0395 | ||
| 0.0209 | | 0.0209 | ||
| 4.72 | | 4.72 | ||
|- | |- | ||
|2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
|4096/4095, 43940/43923, 67392/67375 | | 4096/4095, 43940/43923, 67392/67375, 151263/151250, 4429568/4428675 | ||
|{{val|2711 4297 6295 7611 9379 10032}} | | {{val| 2711 4297 6295 7611 9379 10032 }} | ||
| -0.0351 | | -0.0351 | ||
| 0.0215 | | 0.0215 | ||
| 4.86 | | 4.86 | ||
|} | |} | ||
== Music == | == Music == | ||
*[https://www.youtube.com/watch?v=8prB_mBdKlo Ballad From A Broken Record] by [[User:Francium|Francium]] | *[https://www.youtube.com/watch?v=8prB_mBdKlo Ballad From A Broken Record] by [[User:Francium|Francium]] | ||