764edo: Difference between revisions

← Older edit Newer edit →

VisualWikitext

Revision as of 22:02, 4 October 2022

← 763edo

764edo

765edo →

Prime factorization

2² × 191

Step size

1.57068 ¢

Fifth

447\764 (702.094 ¢)

Semitones (A1:m2)

73:57 (114.7 ¢ : 89.53 ¢)

Consistency limit

17

Distinct consistency limit

17

The 764 equal division divides the octave into 764 equal parts of 1.571 cents each. It is a very strong 17-limit system distinctly consistent to the 17-limit, and is the fourteenth zeta integral division. In the 5-limit it tempers out the hemithirds comma, [38 -2 -15⟩; in the 7-limit 4375/4374; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647; and in the 17-limit 2431/2430, 2500/2499, 4914/4913 and 5832/5831. It provides the optimal patent val for abigail temperament in the 11-limit.

Script error: No such module "primes_in_edo".

Revision as of 01:06, 4 July 2022 view source Fredg999 category edits (talk \| contribs) autopatrolled, Bots, emailconfirmed 4,330 edits m Sort key ← Older edit		Revision as of 22:02, 4 October 2022 view source Plumtree (talk \| contribs) autopatrolled, emailconfirmed 1,976 edits m Infobox ET added Newer edit →
Line 1:		Line 1:
			{{Infobox ET}}
	The '''764 equal division''' divides the octave into 764 equal parts of 1.571 cents each. It is a very strong 17-limit system distinctly consistent to the 17-limit, and is the fourteenth [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists\|zeta integral division]]. In the 5-limit it tempers out the hemithirds comma, {{monzo\| 38 -2 -15 }}; in the 7-limit 4375/4374; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647; and in the 17-limit 2431/2430, 2500/2499, 4914/4913 and 5832/5831. It provides the [[optimal patent val]] for [[Ragismic_microtemperaments#Abigail\|abigail temperament]] in the 11-limit.		The '''764 equal division''' divides the octave into 764 equal parts of 1.571 cents each. It is a very strong 17-limit system distinctly consistent to the 17-limit, and is the fourteenth [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists\|zeta integral division]]. In the 5-limit it tempers out the hemithirds comma, {{monzo\| 38 -2 -15 }}; in the 7-limit 4375/4374; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647; and in the 17-limit 2431/2430, 2500/2499, 4914/4913 and 5832/5831. It provides the [[optimal patent val]] for [[Ragismic_microtemperaments#Abigail\|abigail temperament]] in the 11-limit.

764edo: Difference between revisions

Revision as of 22:02, 4 October 2022

Navigation menu

Search