48ed10: Difference between revisions
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Created page with "'''48ED10''' is the equal division of the 10th harmonic into 48 parts of 83.0482 cents each. It is related to the Schismatic family|sextilififths temperame..." Tags: Mobile edit Mobile web edit |
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'''48ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 48 parts of 83.0482 [[cent|cents]] each. It is related to the [[Schismatic family| | {{Infobox ET}} | ||
'''48ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 48 parts of 83.0482 [[cent|cents]] each. It is related to the [[Schismatic family#Sextilifourths|sextilifourths temperament]], which tempers out 364/363, 441/440, 676/675, and 10985/10976 in the 13-limit. | |||
{| class="wikitable" | {| class="wikitable" | ||
| Line 170: | Line 171: | ||
| | 32 | | | 32 | ||
| | 2657.5425 | | | 2657.5425 | ||
| | [[22/19|88/19]] | | | [[22/19|88/19]], 65/14 | ||
| | | | | | ||
|- | |- | ||
| Line 180: | Line 181: | ||
| | 34 | | | 34 | ||
| | 2823.6389 | | | 2823.6389 | ||
| | | | | 46/9, 225/44 | ||
| | | | | | ||
|- | |- | ||
| Line 200: | Line 201: | ||
| | 38 | | | 38 | ||
| | 3155.8317 | | | 3155.8317 | ||
| | | | | 130/21 | ||
| | | | | | ||
|- | |- | ||
| Line 210: | Line 211: | ||
| | 40 | | | 40 | ||
| | 3321.9281 | | | 3321.9281 | ||
| | | | | 75/11 | ||
| | | | | | ||
|- | |- | ||
| Line 253: | Line 254: | ||
| | just major third plus three octaves | | | just major third plus three octaves | ||
|} | |} | ||
Latest revision as of 19:23, 1 August 2025
| ← 47ed10 | 48ed10 | 49ed10 → |
48ED10 is the equal division of the 10th harmonic into 48 parts of 83.0482 cents each. It is related to the sextilifourths temperament, which tempers out 364/363, 441/440, 676/675, and 10985/10976 in the 13-limit.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 83.0482 | 21/20 | |
| 2 | 166.0964 | 11/10 | |
| 3 | 249.1446 | 15/13, 52/45 | |
| 4 | 332.1928 | 23/19, 63/52, 40/33 | |
| 5 | 415.2410 | 33/26, 14/11 | |
| 6 | 498.2892 | 4/3 | |
| 7 | 581.3374 | 7/5 | |
| 8 | 664.3856 | 22/15 | |
| 9 | 747.4338 | 20/13 | |
| 10 | 830.4820 | 21/13 | |
| 11 | 913.5302 | 22/13 | |
| 12 | 996.5784 | 16/9 | |
| 13 | 1079.6266 | 28/15 | |
| 14 | 1162.6748 | 88/45, 45/23 | |
| 15 | 1245.7230 | 80/39 | |
| 16 | 1328.7712 | 28/13 | |
| 17 | 1411.8194 | 52/23 | |
| 18 | 1494.8676 | 64/27, 19/8 | |
| 19 | 1577.9158 | 209/84 | |
| 20 | 1660.9640 | 60/23 | |
| 21 | 1744.0122 | 52/19, 63/23 | |
| 22 | 1827.0605 | 66/23, 23/8 | |
| 23 | 1910.1087 | 253/84, 190/63 | |
| 24 | 1993.1569 | 60/19, 256/81, 405/128, 19/6 | |
| 25 | 2076.2051 | 63/19 | |
| 26 | 2159.2533 | 66/19, 80/23 | |
| 27 | 2242.3015 | 84/23 | |
| 28 | 2325.3497 | 88/23, 23/6 | |
| 29 | 2408.3979 | 840/209 | |
| 30 | 2491.4461 | 80/19, 135/32, 38/9 | |
| 31 | 2574.4943 | 84/19 | |
| 32 | 2657.5425 | 88/19, 65/14 | |
| 33 | 2740.5907 | 39/8 | |
| 34 | 2823.6389 | 46/9, 225/44 | |
| 35 | 2906.6871 | 75/14 | |
| 36 | 2989.7353 | 45/8 | |
| 37 | 3072.7835 | 65/11 | |
| 38 | 3155.8317 | 130/21 | |
| 39 | 3238.8799 | 13/2 | |
| 40 | 3321.9281 | 75/11 | |
| 41 | 3404.9763 | 50/7 | |
| 42 | 3488.0245 | 15/2 | |
| 43 | 3571.0727 | 55/7 | |
| 44 | 3654.1209 | 33/4 | |
| 45 | 3737.1691 | 26/3 | |
| 46 | 3820.2173 | 136/15, 100/11 | |
| 47 | 3903.2655 | 200/21 | |
| 48 | 3986.3137 | exact 10/1 | just major third plus three octaves |