7L 6s 7L 13s and 13L 7s
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This MOS is the chromatic and enharmonic scale of the family of temperaments which represent 81:80 (the syntonic comma) by +7 or -13 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo.
Generator | cents | Syntonic comma | cents | Generator | |||||
---|---|---|---|---|---|---|---|---|---|
1/7 | 171.429 | 0 | 184.615 | 2/13 | |||||
6/41 | 175.61 | 29.268 | 20.339 | 183.051 | 9/59 | ||||
23/157 | 175.796 | 30.573 | 21.525 | 182.96 | 34/223 | ||||
17/116 | 175.862 | 31.0345 | 21.951 | 182.927 | 25/164 | ||||
11/75 | 176 | 32 | 22.857 | 182.857 | 16/105 | ||||
16/109 | 176.147 | 33.0275 | 23.841 | 182.7815 | 23/151 | ||||
21/143 | 176.224 | 33.5665 | 24.3655 | 182.721 | 30/197 | ||||
26/177 | 176.271 | 33.8983 | 24.691 | 182.741 | 37/243 | ||||
31/211 | 176.303 | 34.171 | 24.9135 | 182.72 | 44/289 | ||||
36/245 | 176.3265 | 34.286 | 25.075 | 182.687 | 51/335 | ||||
176.328 | 34.294 | 25.083 | 182.686 | ||||||
5/34 | 176.471 | 35.294 | 26.0345 | 182.609 | 7/46 | ||||
24/163 | 176.687 | 36.872 | 27.843 | 182.4885 | 33/217 | ||||
19/129 | 176.744 | 37.209 | 28.07 | 182.456 | 26/171 | ||||
176.781 | 37.467 | 28.344 | 182.435 | ||||||
14/95 | 176.842 | 37.895 | 28.8 | 182.4 | 19/125 | ||||
176.901 | 38.3065 | 29.244 | 182.366 | ||||||
23/156 | 176.923 | 38.4615 | 29.412 | 182.353 | 31/204 | ||||
9/61 | 177.049 | 39.344 | 30.38 | 182.2875 | 12/79 | ||||
22/149 | 177.181 | 40.2685 | 31.414 | 182.199 | 29/191 | ||||
13/88 | 177.273 | 40.909 | 32.143 | 182.143 | 17/112 | ||||
17/115 | 177.391 | 41.739 | 33.103 | 182.069 | 22/145 | ||||
21/142 | 177.465 | 42.2535 | 33.708 | 182.0225 | 27/178 | ||||
25/169 | 177.515 | 42.604 | 33.825 | 181.9905 | 32/211 | ||||
29/196 | 177.551 | 42.857 | 34.426 | 181.967 | 37/244 | ||||
177.553 | 42.871 | 34.542 | 181.958 | ||||||
33/223 | 177.5785 | 43.049 | 34.657 | 181.9495 | 42/277 | ||||
37/250 | 177.6 | 43.2 | 34.839 | 181.9355 | 47/310 | ||||
41/277 | 177.617 | 43.321 | 34.985 | 181.924 | 52/343 | ||||
45/304 | 177.632 | 43.421 | 35.106 | 181.915 | 57/376 | ||||
4/27 | 177.778 | 44.444 | 36.364 | 181.818 | 5/33 | ||||
39/263 | 177.947 | 45.585 | 37.539 | 181.7035 | 48/317 | ||||
35/236 | 177.966 | 45.763 | 38.028 | 181.69 | 43/284 | ||||
31/209 | 177.99 | 45.933 | 38.247 | 181.673 | 38/251 | ||||
27/182 | 178.022 | 46.154 | 38.514 | 181.651 | 33/218 | ||||
23/155 | 178.0645 | 46.452 | 38.919 | 181.621 | 28/185 | ||||
19/128 | 178.125 | 46.875 | 39.474 | 181.579 | 23/152 | ||||
15/101 | 178.218 | 47.525 | 40.336 | 181.513 | 18/119 | ||||
178.252 | 47.762 | 40.655 | 181.488 | ||||||
11/74 | 178.378 | 48.649 | 41.8605 | 181.395 | 13/86 | ||||
29/195 | 178.4615 | 49.231 | 42.667 | 181.333 | 34/225 | ||||
178.476 | 49.3295 | 42.8045 | 181.323 | ||||||
18/121 | 178.512 | 49.587 | 43.1655 | 181.295 | 21/139 | ||||
25/168 | 178.571 | 50 | 43.75 | 181.25 | 29/192 | ||||
178.573 | 50.009 | 43.763 | 181.249 | ||||||
32/215 | 178.605 | 50.233 | 44.082 | 181.2245 | 37/245 | ||||
7/47 | 178.723 | 51.063 | 45.283 | 181.132 | 8/53 | ||||
24/161 | 178.882 | 52.174 | 46.927 | 181.006 | 27/179 | ||||
17/114 | 178.947 | 52.632 | 47.619 | 180.952 | 19/126 | ||||
27/181 | 179.0055 | 53.039 | 48.241 | 180.814 | 30/199 | ||||
10/67 | 179.1045 | 53.732 | 49.315 | 180.575 | 11/73 | ||||
23/154 | 179.221 | 54.5455 | 50.602 | 180.506 | 25/166 | ||||
13/87 | 179.31 | 55.172 | 51.613 | 180.452 | 14/93 | ||||
3/20 | 180 | 60 | 180 | 3/20 |