3079edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|3079}} == Theory == 3079et is consistent to the 9-odd-limit. The equal temperament tempers out 43046721/43025920, 1220703125/1219784832..." |
+regular temperament properties |
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=== Subsets and supersets === | === Subsets and supersets === | ||
3079edo is the 440th [[prime EDO]]. | 3079edo is the 440th [[prime EDO]]. | ||
== 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|-4880 3079}} | |||
|{{mapping|3079 4880}} | |||
| 0.0122 | |||
| 0.0122 | |||
| 3.13 | |||
|- | |||
|2.3.5 | |||
|{{monzo|-69 45 -1}}, {{monzo|-50 -71 70}} | |||
|{{mapping|3079 4880 7149}} | |||
| 0.0203 | |||
| 0.0151 | |||
| 3.87 | |||
|- | |||
|2.3.5.7 | |||
|43046721/43025920, 1220703125/1219784832, {{monzo|51 -13 -1 -10}} | |||
|{{mapping|3079 4880 7149 8644}} | |||
| 0.0099 | |||
| 0.0223 | |||
| 5.72 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br>Ratio* | |||
! Temperaments | |||
|- | |||
|1 | |||
|1278\3079 | |||
|498.084 | |||
|4/3 | |||
|[[Counterschismic]] | |||
|} | |||
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||