362edo: Difference between revisions

{{ED intro}}

362edo is [[enfactoring|enfactored]] in the [[3-limit]] and is only [[consistent]] to the [[5-odd-limit]], with two mappings possible for the [[7-limit]]:

* {{val| 362 574 841 1016 }} (patent val),

* {{val| 362 574 841 '''1017''' }} (362d).

Using the patent val, it tempers out [[393216/390625]] and {{monzo| 25 -48 22 }} in the 5-limit; [[4375/4374]], [[458752/455625]] and 11529602/11390625 in the 7-limit, [[support]]ing [[barbados]].

Using the 362d val, it tempers out 393216/390625 and {{monzo| 25 -48 22 }} in the 5-limit; [[5120/5103]], 118098/117649 and 1959552/1953125 in the 7-limit.

Since 362 factors into 2 × 181, 372edo has [[2edo]] and [[181edo]] as its subsets. [[1448edo]], which quadruples it, is a strong full 13-limit system.  

! rowspan="2" | [[Subgroup]]

! rowspan="2" | [[Comma list]]

! rowspan="2" | [[Mapping]]

! rowspan="2" | Optimal<br />8ve stretch (¢)

! colspan="2" | Tuning error

|-

! [[TE error|Absolute]] (¢)

! [[TE simple badness|Relative]] (%)

| 2.3.5

| 393216/390625, {{monzo| 25 -48 22 }}

| {{mapping| 362 574 841 }}

| −0.3896

|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator

! Periods<br />per 8ve

! Associated<br />ratio*

| 1

| 117\362

| 387.85

| 5/4

| [[Würschmidt]]

<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct