388edo: Difference between revisions

Line 1:

The 388 equal ~~division~~ divides the octave into 388 equal parts of 3.0928 ~~cents each. 388edo is the first edo that is uniquely~~ [[~~consistent|consistent~~]] ~~through to the [[27-limit|27-limit]]; it is also consistent through the 37-limit~~.

The '''388 equal divisions of the octave''' ('''388edo'''), or the '''388(-tone) equal temperament''' ('''388tet''', '''388et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 388 [[equal]] parts of 3.0928 [[cent]]s each.

~~388~~ tempers out the vishnuzma, |23 6 -14~~>~~, in the 5-limit, 4375/4374 and 235298/234375 in the 7-limit, and 5632/5625, 3025/3024 and 9801/9800 in the 11-limit and 847/845, 1001/1000 and 4096/4095 in the 13-limit. It is the [[~~Optimal_patent_val|~~optimal patent val]] for cuthbert temperament, which tempers out cuthbert, the 847/845 comma, and for a number of other temperaments tempering out cuthbert, eg 198&388. By tempering out cuthbert it supports the [[~~cuthbert_triad|~~cuthbert triad]].

388edo is the first edo that is uniquely [[consistent]] through to the [[27-odd-limit]]; it is also consistent through the 37-odd-limit.

[[Category:~~consistent~~]]

[[Category:~~cuthbert~~]]

388et tempers out the [[vishnuzma]], {{monzo| 23 6 -14 }}, in the 5-limit, [[4375/4374]] and [[235298/234375]] in the 7-limit, and 5632/5625, [[3025/3024]] and [[9801/9800]] in the 11-limit and [[847/845]], [[1001/1000]] and [[4096/4095]] in the 13-limit. It is the [[optimal patent val]] for cuthbert temperament, which tempers out cuthbert, the 847/845 comma, and for a number of other temperaments tempering out cuthbert, e.g. 198&388. By tempering out cuthbert it supports the [[cuthbert triad]].

[[Category:Equal divisions of the octave]]

[[Category:Consistent]]

[[Category:Cuthbert]]

@@ Line 1: / Line 1: @@
-The 388 equal division divides the octave into 388 equal parts of 3.0928 cents each. 388edo is the first edo that is uniquely [[consistent|consistent]] through to the [[27-limit|27-limit]]; it is also consistent through the 37-limit.
+The '''388 equal divisions of the octave''' ('''388edo'''), or the '''388(-tone) equal temperament''' ('''388tet''', '''388et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 388 [[equal]] parts of 3.0928 [[cent]]s each.
-tempers out the vishnuzma, |23 6 -14&gt;, in the 5-limit, 4375/4374 and 235298/234375 in the 7-limit, and 5632/5625, 3025/3024 and 9801/9800 in the 11-limit and 847/845, 1001/1000 and 4096/4095 in the 13-limit. It is the [[Optimal_patent_val|optimal patent val]] for cuthbert temperament, which tempers out cuthbert, the 847/845 comma, and for a number of other temperaments tempering out cuthbert, eg 198&amp;388. By tempering out cuthbert it supports the [[cuthbert_triad|cuthbert triad]].
+edo is the first edo that is uniquely [[consistent]] through to the [[27-odd-limit]]; it is also consistent through the 37-odd-limit.
-[[Category:consistent]]
-[[Category:cuthbert]]
+et tempers out the [[vishnuzma]], {{monzo| 23 6 -14 }}, in the 5-limit, [[4375/4374]] and [[235298/234375]] in the 7-limit, and 5632/5625, [[3025/3024]] and [[9801/9800]] in the 11-limit and [[847/845]], [[1001/1000]] and [[4096/4095]] in the 13-limit. It is the [[optimal patent val]] for cuthbert temperament, which tempers out cuthbert, the 847/845 comma, and for a number of other temperaments tempering out cuthbert, e.g. 198&amp;388. By tempering out cuthbert it supports the [[cuthbert triad]].
+[[Category:Equal divisions of the octave]]
+[[Category:Consistent]]
+[[Category:Cuthbert]]