Ploidacot/Tetracot/Generator tunings: Difference between revisions
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Revision as of 20:31, 2 February 2019
For most of its generator range, this MOS is the chromatic scale of the family of temperaments which divide the perfect fifth into four equal parts, thus representing 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 | |||||