145edo: Difference between revisions

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The '''145 equal divisions of the octave''' (~~'''145edo'''~~) or '''145(-tone) equal temperament''' (~~'''145tet'''~~, ~~'''145et'''~~) when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 145 [[equal]] parts of 8.276 [[cent]]s each.

The '''145 equal divisions of the octave''' (145EDO) or '''145(-tone) equal temperament''' (145TET, 145ET) when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 145 [[equal]] parts of 8.276 [[cent]]s each.

== Theory ==

~~145et~~ is the [[optimal patent val]] for the 11-limit [[mystery]] temperament and the 11-limit rank-3 [[pele]] temperament.

145EDO is the [[optimal patent val]] for the 11-limit [[mystery]] temperament and the 11-limit rank-3 [[pele]] temperament.

It tempers out [[1600000/1594323]] in the [[5-limit]]; [[4375/4374]] and [[5120/5103]] in the [[7-limit]]; [[441/440]] and [[896/891]] in the 11-limit; [[196/195]], [[352/351]] and [[364/363]] in the 13-limit; [[595/594]] in the 17-limit; [[343/342]] and [[476/475]] in the 19-limit.

Line 74:

| 100/99

| [[Quincy]]

|-

| 1

| 12\145

| 99.31

| 35/33, 18/17

| [[Quinticosiennic]]

|-

| 1

@@ Line 1: / Line 1: @@
-The '''145 equal divisions of the octave''' ('''145edo''') or '''145(-tone) equal temperament''' ('''145tet''', '''145et''') when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 145 [[equal]] parts of 8.276 [[cent]]s each.
+The '''145 equal divisions of the octave''' (145EDO) or '''145(-tone) equal temperament''' (145TET, 145ET) when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 145 [[equal]] parts of 8.276 [[cent]]s each.
 == Theory ==
-et is the [[optimal patent val]] for the 11-limit [[mystery]] temperament and the 11-limit rank-3 [[pele]] temperament.
+EDO is the [[optimal patent val]] for the 11-limit [[mystery]] temperament and the 11-limit rank-3 [[pele]] temperament.
 It tempers out [[1600000/1594323]] in the [[5-limit]]; [[4375/4374]] and [[5120/5103]] in the [[7-limit]]; [[441/440]] and [[896/891]] in the 11-limit; [[196/195]], [[352/351]] and [[364/363]] in the 13-limit; [[595/594]] in the 17-limit; [[343/342]] and [[476/475]] in the 19-limit.
@@ Line 74: / Line 74: @@
 | 100/99
 | [[Quincy]]
+|-
+| 1
+| 12\145
+| 99.31
+| 35/33, 18/17
+| [[Quinticosiennic]]
 |-
 | 1