59edt
← 58edt | 59edt | 60edt → |
59EDT is the equal division of the third harmonic into 59 parts of 32.2365 cents each, corresponding to 37.2249 edo. It is related to the regular temperament which tempers out |413 -347 59> in the 5-limit, which is supported by 335, 1489, 1824, 2159, 2494, 2829, and 3164 EDOs.
Related regular temperaments
149&186 temperament
5-limit
Comma: |118 12 -59>
POTE generator: ~3125/3072 = 32.2390
Map: [<1 0 2|, <0 59 12|]
EDOs: 37, 149, 186, 335, 484, 521
7-limit 149&186
Commas: 3136/3125, 49433168575/48922361856
POTE generator: ~49/48 = 32.2368
Map: [<1 0 2 2|, <0 59 12 30|]
7-limit 149d&186
Commas: 1280000000/1275989841, 8589934592/8544921875
POTE generator: ~3125/3072 = 32.2456
Map: [<1 0 2 7|, <0 59 12 -156|]
EDOs: 149d, 186, 335d, 521, 707
7-limit 149&186d
Commas: 29360128/29296875, 1937102445/1927561216
POTE generator: ~3125/3072 = 32.2308
Map: [<1 0 2 -2|, <0 59 12 179|]
EDOs: 149, 186d, 335d, 484, 633
335&2159 temperament
5-limit
Comma: |413 -347 59>
POTE generator: ~|-119 100 -17> = 32.2373
Map: [<1 0 -7|, <0 59 347|]