No-threes subgroup temperaments: Difference between revisions

m Text replacement - "{{Mapping|legend=3| " to "{{Mapping|legend=5| "
m Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| "
Line 28: Line 28:
[[Comma list]]: [[2100875/2097152]]
[[Comma list]]: [[2100875/2097152]]


{{Mapping|legend=2| 1 2 3 | 0 5 -3 }}
{{Mapping|legend=3| 1 2 3 | 0 5 -3 }}


{{Mapping|legend=5| 1 0 2 3 | 0 0 5 -3 }}
{{Mapping|legend=5| 1 0 2 3 | 0 0 5 -3 }}
Line 52: Line 52:
[[Comma list]]: 128/125
[[Comma list]]: 128/125


{{Mapping|legend=2| 3 7 0 | 0 0 1 }}
{{Mapping|legend=3| 3 7 0 | 0 0 1 }}


{{Mapping|legend=5| 3 0 7 0 | 0 0 0 1 }}
{{Mapping|legend=5| 3 0 7 0 | 0 0 0 1 }}
Line 91: Line 91:
[[Comma list]]: 78125/76832
[[Comma list]]: 78125/76832


{{Mapping|legend=2| 1 3 4 | 0 -4 -7 }}
{{Mapping|legend=3| 1 3 4 | 0 -4 -7 }}
: mapping generators: ~2, ~28/25
: mapping generators: ~2, ~28/25


Line 130: Line 130:
[[Comma list]]: 1071875/1048576
[[Comma list]]: 1071875/1048576


{{Mapping|legend=2| 1 1 5 | 0 3 -5 }}
{{Mapping|legend=3| 1 1 5 | 0 3 -5 }}


{{Mapping|legend=5| 1 0 1 5 | 0 0 3 -5 }}
{{Mapping|legend=5| 1 0 1 5 | 0 0 3 -5 }}
Line 154: Line 154:
[[Comma list]]: 40960000/40353607
[[Comma list]]: 40960000/40353607


{{Mapping|legend=2| 1 -4 0 | 0 9 4 }}
{{Mapping|legend=3| 1 -4 0 | 0 9 4 }}


{{Mapping|legend=5| 1 0 -4 0 | 0 0 9 4 }}
{{Mapping|legend=5| 1 0 -4 0 | 0 0 9 4 }}
Line 280: Line 280:
[[Comma list]]: {{monzo| 1426 -596 -15 }}
[[Comma list]]: {{monzo| 1426 -596 -15 }}


{{Mapping|legend=2| 1 -4 254 | 0 15 -596 }}
{{Mapping|legend=3| 1 -4 254 | 0 15 -596 }}
: mapping generators: ~2, ~{{monzo| -380 159 4 }}
: mapping generators: ~2, ~{{monzo| -380 159 4 }}


Line 303: Line 303:
[[Comma list]]: 5021863/5000000
[[Comma list]]: 5021863/5000000


{{Mapping|legend=2| 1 0 -2 3 | 0 1 1 1 | 0 0 4 -3 }}
{{Mapping|legend=3| 1 0 -2 3 | 0 1 1 1 | 0 0 4 -3 }}
: mapping generators: ~2, ~5, ~77/50
: mapping generators: ~2, ~5, ~77/50


Line 359: Line 359:
[[Comma list]]: 15625/15488
[[Comma list]]: 15625/15488


{{Mapping|legend=2| 2 0 -7 | 0 1 3 }}
{{Mapping|legend=3| 2 0 -7 | 0 1 3 }}


{{Mapping|legend=5| 2 0 4 0 5 | 0 0 1 0 3 }}
{{Mapping|legend=5| 2 0 4 0 5 | 0 0 1 0 3 }}
Line 379: Line 379:
[[Comma list]]: 33275/32768
[[Comma list]]: 33275/32768


{{Mapping|legend=2| 1 0 5 | 0 3 -2 }}
{{Mapping|legend=3| 1 0 5 | 0 3 -2 }}
: mapping generators, ~2, ~55/32
: mapping generators, ~2, ~55/32


Line 399: Line 399:
[[Comma list]]: 1331/1280
[[Comma list]]: 1331/1280


{{Mapping|legend=2| 1 1 3 | 0 3 1 }}
{{Mapping|legend=3| 1 1 3 | 0 3 1 }}
: mapping generators: ~2, ~11/8
: mapping generators: ~2, ~11/8


Line 421: Line 421:
[[Comma list]]: 34375/32768
[[Comma list]]: 34375/32768


{{Mapping|legend=2| 1 0 15 | 0 1 -5 }}
{{Mapping|legend=3| 1 0 15 | 0 1 -5 }}


{{Mapping|legend=5| 1 0 0 0 15 | 0 0 1 0 -5 }}
{{Mapping|legend=5| 1 0 0 0 15 | 0 0 1 0 -5 }}
Line 475: Line 475:
[[Comma list]]: 26/25
[[Comma list]]: 26/25


{{Mapping|legend=2| 1 2 3 | 0 1 2 }}
{{Mapping|legend=3| 1 2 3 | 0 1 2 }}
: mapping generators, ~2, ~5/4
: mapping generators, ~2, ~5/4


Line 493: Line 493:
[[Comma list]]: 64000000/62748517
[[Comma list]]: 64000000/62748517


{{Mapping|legend=2| 1 -2 0 | 0 7 6 }}
{{Mapping|legend=3| 1 -2 0 | 0 7 6 }}
: mapping generators, ~2, ~20/13
: mapping generators, ~2, ~20/13


Line 523: Line 523:
[[Comma list]]: 5767168/5764801
[[Comma list]]: 5767168/5764801


{{Mapping|legend=2| 1 0 -19 | 0 1 8 }}
{{Mapping|legend=3| 1 0 -19 | 0 1 8 }}
: mapping generators: ~2, ~7
: mapping generators: ~2, ~7


Line 543: Line 543:
[[Comma list]]: 1372/1331
[[Comma list]]: 1372/1331


{{Mapping|legend=2| 3 0 2 | 0 1 1 }}
{{Mapping|legend=3| 3 0 2 | 0 1 1 }}
: mapping generators: ~14/11, ~7
: mapping generators: ~14/11, ~7


Line 565: Line 565:
[[Comma list]]: 343/338, 847/832
[[Comma list]]: 343/338, 847/832


{{Mapping|legend=2| 1 1 3 1 | 0 4 1 6 }}
{{Mapping|legend=3| 1 1 3 1 | 0 4 1 6 }}


{{Mapping|legend=5| 1 0 0 1 3 1 | 0 0 0 4 1 6 }}
{{Mapping|legend=5| 1 0 0 1 3 1 | 0 0 0 4 1 6 }}
Line 587: Line 587:
[[Comma list]]: 214358881/210827008
[[Comma list]]: 214358881/210827008


{{Mapping|legend=2| 1 0 1 | 0 8 7 }}
{{Mapping|legend=3| 1 0 1 | 0 8 7 }}


{{Mapping|legend=5| 1 0 0 0 1 | 0 0 0 8 7 }}
{{Mapping|legend=5| 1 0 0 0 1 | 0 0 0 8 7 }}
Line 626: Line 626:
[[Comma list]]: 28672/28561
[[Comma list]]: 28672/28561


{{Mapping|legend=2| 1 0 3 | 0 4 1 }}
{{Mapping|legend=3| 1 0 3 | 0 4 1 }}


{{Mapping|legend=5| 1 0 0 0 0 3 | 0 0 0 4 0 1 }}
{{Mapping|legend=5| 1 0 0 0 0 3 | 0 0 0 4 0 1 }}
Line 646: Line 646:
[[Comma list]]: 4913/4802
[[Comma list]]: 4913/4802


{{Mapping|legend=2| 1 2 3 | 0 3 4 }}
{{Mapping|legend=3| 1 2 3 | 0 3 4 }}
: mapping generators, ~2, ~17/14
: mapping generators, ~2, ~17/14


Line 664: Line 664:
[[Comma list]]: 2024782584832/2015993900449
[[Comma list]]: 2024782584832/2015993900449


{{Mapping|legend=2| 1 0 1 | 0 10 11 }}
{{Mapping|legend=3| 1 0 1 | 0 10 11 }}
: mapping generators, ~2, ~17/14
: mapping generators, ~2, ~17/14


Line 682: Line 682:
[[Comma list]]: 1048576/1042139
[[Comma list]]: 1048576/1042139


{{Mapping|legend=2| 1 0 6 | 0 3 -1 }}]
{{Mapping|legend=3| 1 0 6 | 0 3 -1 }}]
: mapping generators, ~2, ~64/53
: mapping generators, ~2, ~64/53


Line 704: Line 704:
[[Comma list]]: 1352/1331
[[Comma list]]: 1352/1331


{{Mapping|legend=2| 1 3 3 | 0 2 3 }}
{{Mapping|legend=3| 1 3 3 | 0 2 3 }}


{{Mapping|legend=5| 1 0 0 0 3 3 | 0 0 0 0 2 3 }}
{{Mapping|legend=5| 1 0 0 0 3 3 | 0 0 0 0 2 3 }}
Line 727: Line 727:
[[Comma list]]: 265837/262144
[[Comma list]]: 265837/262144


{{Mapping|legend=2| 1 0 6 | 0 3 -2 }}
{{Mapping|legend=3| 1 0 6 | 0 3 -2 }}


{{Mapping|legend=5| 1 0 0 0 3 4 | 0 0 0 0 3 -2 }}
{{Mapping|legend=5| 1 0 0 0 3 4 | 0 0 0 0 3 -2 }}
Line 751: Line 751:
[[Comma list]]: 29282/28561
[[Comma list]]: 29282/28561


{{Mapping|legend=2| 4 0 1 | 0 1 1 }}
{{Mapping|legend=3| 4 0 1 | 0 1 1 }}


{{Mapping|legend=5| 4 0 0 0 12 13 | 0 0 0 0 1 1 }}
{{Mapping|legend=5| 4 0 0 0 12 13 | 0 0 0 0 1 1 }}
Line 773: Line 773:
[[Comma list]]: 209/208, 2057/2048, 83521/83486
[[Comma list]]: 209/208, 2057/2048, 83521/83486


{{Mapping|legend=2| 1 1 8 9 11 | 0 4 -7 -8 -11 }}
{{Mapping|legend=3| 1 1 8 9 11 | 0 4 -7 -8 -11 }}
: mapping generators: ~2, ~26/17
: mapping generators: ~2, ~26/17


Line 791: Line 791:
[[Comma list]]: 2432/2431, 7086244/7054567, 33698267/33554432
[[Comma list]]: 2432/2431, 7086244/7054567, 33698267/33554432


{{Mapping|legend=2| 33 0 8 249 26 | 0 1 1 -1 1 }}
{{Mapping|legend=3| 33 0 8 249 26 | 0 1 1 -1 1 }}
: mapping generators: ~247/242, ~11
: mapping generators: ~247/242, ~11


Line 811: Line 811:
[[Comma list]]: 1874161/1874048
[[Comma list]]: 1874161/1874048


{{Mapping|legend=2| 4 0 7 | 0 1 1 }}
{{Mapping|legend=3| 4 0 7 | 0 1 1 }}
: mapping generators: ~44/37, ~11
: mapping generators: ~44/37, ~11


Line 829: Line 829:
[[Comma list]]: 47525504/47045881
[[Comma list]]: 47525504/47045881


{{Mapping|legend=2| 1 1 2 | 0 6 5 }}
{{Mapping|legend=3| 1 1 2 | 0 6 5 }}
: mapping generators: ~2, ~26/19
: mapping generators: ~2, ~26/19


Line 847: Line 847:
[[Comma list]]: 209/208, 2057/2048
[[Comma list]]: 209/208, 2057/2048


{{Mapping|legend=2| 1 0 0 11 4 | 0 1 0 -2 -1 | 0 0 1 0 1 }}
{{Mapping|legend=3| 1 0 0 11 4 | 0 1 0 -2 -1 | 0 0 1 0 1 }}
: mapping generators: ~2, ~11, ~13
: mapping generators: ~2, ~11, ~13