577edo: Difference between revisions

577et is consistent to the [[7-odd-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. Using the patent val, it tempers out 26873856/26796875, 184528125/184473632 and [[1640558367/1638400000]] in the 7-limit; [[5632/5625]], 151263/151250, 472392/471625 and 102487/102400 in the 11-limit.

===Subsets and supersets===

577edo is the 106th [[prime EDO]]. [[1154edo]], which doubles it, gives a good correction to the harmonic 3, but it does poorly in the harmonics 5 and 7. [[2308edo]], which quadruples it, also gives a good correction to the harmonic 3 and its consistent to the [[11-odd-limit]].

! 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]] (%)

|2.9

|{{monzo|-1829 577}}

|{{mapping|577 1829}}

|2.9.5

|{{monzo|-7 11 -12}}, {{monzo|125 -5 -47}}

|{{mapping|577 1829 1340}}

|2.9.5.7

|26873856/26796875, 184528125/184473632, 1640558367/1638400000

|{{mapping|577 1829 1340 1620}}

|2.9.5.7.11

|5632/5625, 151263/151250, 472392/471625, 102487/102400

|{{mapping|577 1829 1340 1620 1996}}

|2.9.5.7.11.13

|1001/1000, 10648/10647, 10985/10976, 75712/75625, 472392/471625

|{{mapping|577 1829 1340 1620 1996 2135}}