6650edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Mark stub
Tristanbay (talk | contribs)
Theory: Added links, commas that are tempered out, and mention of 665edo and its fifth, and removed stub tag
Tags: Mobile edit Mobile web edit
Line 3: Line 3:


== Theory ==
== Theory ==
This system is consistent up to the 15-odd-limit.
This system is consistent up to the [[15-odd-limit]] and shares the same super accurate fifth with [[665edo]]. In the 11-limit, it tempers out [[9801/9800]], and in the 13-limit, [[123201/123200]].


{{Harmonics in equal|6650}}
{{Harmonics in equal|6650}}
{{Stub}}

Revision as of 06:57, 5 May 2024

← 6649edo 6650edo 6651edo →
Prime factorization 2 × 52 × 7 × 19
Step size 0.180451 ¢ 
Fifth 3890\6650 (701.955 ¢) (→ 389\665)
Semitones (A1:m2) 630:500 (113.7 ¢ : 90.23 ¢)
Consistency limit 15
Distinct consistency limit 15

Template:EDO intro

Theory

This system is consistent up to the 15-odd-limit and shares the same super accurate fifth with 665edo. In the 11-limit, it tempers out 9801/9800, and in the 13-limit, 123201/123200.


Approximation of prime harmonics in 6650edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 -0.0001 +0.0322 +0.0162 -0.0397 +0.0137 +0.0671 +0.0509 +0.0565 +0.0769 -0.0732
Relative (%) +0.0 -0.1 +17.8 +9.0 -22.0 +7.6 +37.2 +28.2 +31.3 +42.6 -40.5
Steps
(reduced)
6650
(0)
10540
(3890)
15441
(2141)
18669
(5369)
23005
(3055)
24608
(4658)
27182
(582)
28249
(1649)
30082
(3482)
32306
(5706)
32945
(6345)