1065edo: Difference between revisions

Revision as of 06:49, 9 July 2023

Prime factorization

3 × 5 × 71

Step size

1.12676 ¢

Fifth

623\1065 (701.972 ¢)

Semitones (A1:m2)

101:80 (113.8 ¢ : 90.14 ¢)

Consistency limit

21

Distinct consistency limit

21

Some 19-limit commas it tempers out:

Monzisma
Squarschmidt ([61, 4, -29⟩)
Landscape comma (250047/250000)
[3, 3, -3, 0, 1, 0, 0, -1⟩ (2376/2375)
[-3, 2, -2, 0, 0, -1, 2, 0⟩ (2601/2600)
[1, -2, -2, 1, 1, -1, 0, 1⟩ (2926/2925)
[-4, -3, 2, -1, 2, 0, 0, 0⟩ (3025/3024)
[1, 1, 1, -2, 0, -1, -1, 2⟩ (10830/10829)
[8, -1, 1, 0, 1, -1, 0, -2⟩ (14080/14079)
[-2, -3, 1, -1, 0, 2, 1, -1⟩ (14365/14364)

Approximation of prime harmonics in 1065edo
Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	+0.0168	+0.1652	+0.1882	-0.3320	+0.0357	-0.1667	-0.0482	+0.4580	+0.2820	-0.2468
Error	Relative (%)	+0.0	+1.5	+14.7	+16.7	-29.5	+3.2	-14.8	-4.3	+40.7	+25.0	-21.9
Steps (reduced)		1065 (0)	1688 (623)	2473 (343)	2990 (860)	3684 (489)	3941 (746)	4353 (93)	4524 (264)	4818 (558)	5174 (914)	5276 (1016)

Revision as of 05:22, 9 July 2023 view source BudjarnLambeth (talk \| contribs) autopatrolled 18,200 edits mNo edit summary ← Older edit		Revision as of 06:49, 9 July 2023 view source BudjarnLambeth (talk \| contribs) autopatrolled 18,200 edits mNo edit summary Newer edit →
Line 1:		Line 1:
	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1065}} It is [[consistent]] to the 21-odd-limit and is a [[zeta peak integer edo]].		{{EDO intro\|1065}} It is [[consistent]] to the 21-odd-limit and is a [[zeta peak integer edo]].