Latest revision as of 18:21, 16 December 2024

Todo: improve synopsis, clarify, link

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

Rank three

Comma	Name	Gen 1	Length	Gen 2	Length	Angle
686/675	senga	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

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, 441/440	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

Revision as of 10:17, 19 November 2024 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 23,995 edits m Recategorize ← Older edit		Latest revision as of 18:21, 16 December 2024 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 23,995 edits m FloraC moved page Temperament lattice bases to Table of rank-3 temperament lattice bases without leaving a redirect: Adopt a more precise title
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	{{Todo\|inline=1\|~~expand\|intro~~\|clarify\|link\|comments=Expand the intro to more thoroughly explain what this is. Link to here from other relevant pages.}}		{{Todo\|inline=1\|improve synopsis\|clarify\|link\|comments=Expand the intro to more thoroughly explain what this is. Link to here from other relevant pages.}}

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