419edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|419}}. ==Theory== 419et tempers out 32805/32768, 29360128/29296875, 1959552/1953125, 420175/419904 and 2100875/2097152 in the 7-limit and 3..." |
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419edo is the 81th [[prime edo]]. | 419edo is the 81th [[prime edo]]. | ||
{{Harmonics in equal|419}} | {{Harmonics in equal|419}} | ||
==Regular temperament properties== | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" |[[Subgroup]] | |||
! rowspan="2" |[[Comma list|Comma List]] | |||
! rowspan="2" |[[Mapping]] | |||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | |||
! colspan="2" |Tuning Error | |||
|- | |||
![[TE error|Absolute]] (¢) | |||
![[TE simple badness|Relative]] (%) | |||
|- | |||
|2.3 | |||
|{{monzo| -664 419}} | |||
|{{val| 419 664}} | |||
| +0.0897 | |||
| 0.0897 | |||
| 25.69 | |||
|- | |||
|2.3.5 | |||
|32805/32768, {{monzo| 41 43 -47}} | |||
|{{val| 419 664 973}} | |||
| +0.0137 | |||
| 0.1301 | |||
| 37.26 | |||
|- | |||
|2.3.5.7 | |||
|32805/32768, 420175/419904, 1959552/1953125 | |||
|{{val| 419 664 973 1176}} | |||
| +0.0821 | |||
| 0.1635 | |||
| 46.83 | |||
|- | |||
|2.3.5.7.11 | |||
|441/440, 200704/200475, 160083/160000, 472392/471625 | |||
|{{val| 419 664 973 1176 1450}} | |||
| -0.0168 | |||
| 0.2460 | |||
| 70.45 | |||
|- | |||
|} | |||
==Scales== | ==Scales== | ||
*[[Sextilififths13]] | *[[Sextilififths13]] | ||