34edt: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Cmloegcmluin (talk | contribs)
remove temporary link to defactoring
Plumtree (talk | contribs)
m Infobox ET added
Line 1: Line 1:
{{Infobox ET}}
'''34EDT''' is the [[Edt|equal division of the third harmonic]] into 34 parts of 55.9399 [[cent|cents]] each, corresponding to 21.4516 [[edo]]. It is [[contorted]] in the no-twos 11-limit, tempering out 77/75, 245/243, and 1331/1323. Using the patent val, it tempers out 169/165 and 847/845 in the 13-limit (no-twos subgroup). With the patent 4, it tempers out 49/48, 81/80, and 16128/15625 in the 3.4.5.7 subgroup; 77/75, 176/175, 891/875, and 1331/1280 in the 3.4.5.7.11 subgroup; 65/64, 143/140, 169/165, 196/195, and 325/324 in the 3.4.5.7.11.13 subgroup.
'''34EDT''' is the [[Edt|equal division of the third harmonic]] into 34 parts of 55.9399 [[cent|cents]] each, corresponding to 21.4516 [[edo]]. It is [[contorted]] in the no-twos 11-limit, tempering out 77/75, 245/243, and 1331/1323. Using the patent val, it tempers out 169/165 and 847/845 in the 13-limit (no-twos subgroup). With the patent 4, it tempers out 49/48, 81/80, and 16128/15625 in the 3.4.5.7 subgroup; 77/75, 176/175, 891/875, and 1331/1280 in the 3.4.5.7.11 subgroup; 65/64, 143/140, 169/165, 196/195, and 325/324 in the 3.4.5.7.11.13 subgroup.



Revision as of 19:54, 5 October 2022

← 33edt 34edt 35edt →
Prime factorization 2 × 17
Step size 55.9399 ¢ 
Octave 21\34edt (1174.74 ¢)
Consistency limit 3
Distinct consistency limit 3

34EDT is the equal division of the third harmonic into 34 parts of 55.9399 cents each, corresponding to 21.4516 edo. It is contorted in the no-twos 11-limit, tempering out 77/75, 245/243, and 1331/1323. Using the patent val, it tempers out 169/165 and 847/845 in the 13-limit (no-twos subgroup). With the patent 4, it tempers out 49/48, 81/80, and 16128/15625 in the 3.4.5.7 subgroup; 77/75, 176/175, 891/875, and 1331/1280 in the 3.4.5.7.11 subgroup; 65/64, 143/140, 169/165, 196/195, and 325/324 in the 3.4.5.7.11.13 subgroup.

Lookalikes: 43ED4