Temperament lattice bases

Below are tabulated bases (temperamental Minkowski bases) of minimal temperamental complexity for the pitch classes of various regular temperaments.

Rank Three

Seven limit

Comma	Name	Gen 1	Length	Gen 2	Length	Angle
686/675	Keema	15/14	0.6977	3/2	1.4208	103.732
64/63	Archytas	3/2	1.0508	5/4	2.3219	90.000
875/864	Keema	6/5	0.8879	3/2	1.3391	77.834
81/80	Didymus	3/2	0.5451	8/7	2.8074	90.000
3125/3087	Gariboh	25/21	0.5928	21/20	1.2018	80.810
2430/2401	Nuwell	7/6	0.6247	9/7	1.1894	94.044
50421/50000	Trimyna	7/5	0.3158	5/4	1.7938	94.101
245/243	Sensamagic	3/2	0.9644	9/7	1.0807	96.914
126/125	Starling	6/5	1.068	5/4	1.206	100.364
4000/3969	Octagar	63/50	0.8966	21/20	1.0605	97.743
1728/1715	Orwellisma	7/6	0.7526	3/2	1.3931	97.508
1029/1024	Gamelisma	8/7	0.5192	5/4	2.3219	90.000
225/224	Marvel	16/15	1.256	3/2	1.369	106.958
3136/3125	Hemimean	28/25	0.5055	3/2	1.5849	90.000
5120/5103	Hemifamity	3/2	0.5670	10/9	1.8063	82.112
6144/6125	Porwell	35/32	0.9584	35/24	1.1877	92.681
65625/65536	Horwell	5/4	0.6213	16/15	1.3863	64.638
703125/702464	Meter	75/56	0.7305	375/224	0.7675	97.289
420175 / 419904	Wizma	245/216	0.5541	324/245	0.9731	79.663
2401/2400	Breedsma	49/40	0.7858	8/7	1.1241	107.367
4375/4374	Ragisma	10/9	0.7890	6/5	0.9208	105.299

Eleven limit

Commas	Name	Gen 1	Length	Gen 2	Length	Angle
225/224&385/384	Marvel	16/15	1.0364	5/4	1.0759	104.028
225/224&441/400	Prodigy	16/15	0.9111	3/2	0.9477	65.933
99/98&176/175	Minerva	16/15	0.8997	5/4	1.0457	98.604
126/125&176/175	Thrush	5/4	0.8576	6/5	0.9314	74.624
56/55&100/99	Thrasher	6/5	0.9089	5/4	1.2007	98.845