Ploidacot/Tetracot/Generator tunings

For most of its generator range, 7L 6s, 7L 13s, and 13L 7s are the chromatic scales 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 inflated to as much as 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