364edo: Difference between revisions

Line 6:

| Consistency = 21

}}

~~The '''364 equal divisions of the octave''' ('''364edo'''), or the '''364(-tone) equal temperament''' ('''364tet''', '''364et''') when viewed from a [[regular temperament]] perspective, is the [[~~EDO|~~equal division of the octave]] into~~ 364 ~~parts of about 3.30 [[cent]]s each.~~

== Theory ==

364edo is consistent through the [[21-odd-limit]], [[tempering out]] 1600000/1594323 ([[amity comma]]) and {{monzo| -65 0 28 }}; (28-5-comma) in the [[5-limit]]; 65625/65536 (horwell), 390625/388962 ([[Dimcomp comma|dimcomp]]), and 420175/419904 (wizma) in the [[7-limit]] (supporting [[fifthplus]] and [[oquatonic]]); 1375/1372, [[6250/6237]], [[19712/19683]], and 41503/41472 in the [[11-limit]] (as well as [[9801/9800]]); [[625/624]], [[1716/1715]], [[2080/2079]], [[2200/2197]], and 14641/14625 in the [[13-limit]] (as well as [[4096/4095]], [[4225/4224]], and [[10985/10976]]); [[715/714]], [[1089/1088]], [[1225/1224]], 1275/1274, 2025/2023, and 8624/8619 in the [[17-limit]] (as well as 2431/2430, 4914/4913, and [[5832/5831]]); [[1216/1215]], 1331/1330, 1540/1539, and [[1729/1728]] in the [[19-limit]].

364 is divisible by, and thus contains sub-edos {{EDOs|1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182.}}

364 is divisible by, and thus contains sub-edos {{EDOs|1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182}}.

=== Prime harmonics ===

== Regular temperament properties ==

Line 116:

| [[Semiwitch]]

|-

|4

| 4

|30\364

| 30\364

|98.90

| 98.90

|18/17

| 18/17

|[[World ~~Calendar~~]]

| [[World calendar]]

|-

| 28

@@ Line 6: / Line 6: @@
 | Consistency = 21
 }}
-The '''364 equal divisions of the octave''' ('''364edo'''), or the '''364(-tone) equal temperament''' ('''364tet''', '''364et''') when viewed from a [[regular temperament]] perspective, is the [[EDO|equal division of the octave]] into 364 parts of about 3.30 [[cent]]s each.
+{{EDO intro|364}}
 == Theory ==
 edo is consistent through the [[21-odd-limit]], [[tempering out]] 1600000/1594323 ([[amity comma]]) and {{monzo| -65 0 28 }}; (28-5-comma) in the [[5-limit]]; 65625/65536 (horwell), 390625/388962 ([[Dimcomp comma|dimcomp]]), and 420175/419904 (wizma) in the [[7-limit]] (supporting [[fifthplus]] and [[oquatonic]]); 1375/1372, [[6250/6237]], [[19712/19683]], and 41503/41472 in the [[11-limit]] (as well as [[9801/9800]]); [[625/624]], [[1716/1715]], [[2080/2079]], [[2200/2197]], and 14641/14625 in the [[13-limit]] (as well as [[4096/4095]], [[4225/4224]], and [[10985/10976]]); [[715/714]], [[1089/1088]], [[1225/1224]], 1275/1274, 2025/2023, and 8624/8619 in the [[17-limit]] (as well as 2431/2430, 4914/4913, and [[5832/5831]]); [[1216/1215]], 1331/1330, 1540/1539, and [[1729/1728]] in the [[19-limit]].
-is divisible by, and thus contains sub-edos {{EDOs|1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182.}}
+is divisible by, and thus contains sub-edos {{EDOs|1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182}}.
 === Prime harmonics ===
-{{Primes in edo|364}}
+{{Harmonics in equal|364|columns=11}}
 == Regular temperament properties ==
@@ Line 116: / Line 116: @@
 | [[Semiwitch]]
 |-
-|4
+| 4
-|30\364
+| 30\364
-|98.90
+| 98.90
-|18/17
+| 18/17
-|[[World Calendar]]
+| [[World calendar]]
 |-
 | 28