700edo: Difference between revisions

Revision as of 04:19, 7 January 2025

Prime factorization

2² × 5² × 7

Step size

1.71429 ¢

Fifth

409\700 (701.143 ¢)

Semitones (A1:m2)

63:55 (108 ¢ : 94.29 ¢)

Dual sharp fifth

410\700 (702.857 ¢) (→ 41\70)

Dual flat fifth

409\700 (701.143 ¢)

Dual major 2nd

119\700 (204 ¢) (→ 17\100)

Consistency limit

7

Distinct consistency limit

7

Approximation of odd harmonics in 700edo
Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.812	-0.599	-0.254	+0.090	+0.682	-0.528	+0.303	-0.384	+0.773	+0.648	-0.846
Error	Relative (%)	-47.4	-35.0	-14.8	+5.2	+39.8	-30.8	+17.7	-22.4	+45.1	+37.8	-49.3
Steps (reduced)		1109 (409)	1625 (225)	1965 (565)	2219 (119)	2422 (322)	2590 (490)	2735 (635)	2861 (61)	2974 (174)	3075 (275)	3166 (366)

Todo: explain its xenharmonic value

Revision as of 21:57, 14 December 2024 view source BudjarnLambeth (talk \| contribs) autopatrolled, emailconfirmed 18,605 edits m Intro harmonics stub ← Older edit		Revision as of 04:19, 7 January 2025 view source BudjarnLambeth (talk \| contribs) autopatrolled, emailconfirmed 18,605 edits m Todo Newer edit →
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