275edt

From Xenharmonic Wiki
Revision as of 14:52, 26 September 2024 by Lériendil (talk | contribs) (Created page with "{{Infobox ET}} '''275EDT''' is the equal division of the third harmonic into 275 parts of 6.916 cents each, corresponding to 173.505 edo. It is notable fo...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
← 274edt 275edt 276edt →
Prime factorization 52 × 11
Step size 6.9162 ¢ 
Octave 174\275edt (1203.42 ¢)
Consistency limit 3
Distinct consistency limit 3

275EDT is the equal division of the third harmonic into 275 parts of 6.916 cents each, corresponding to 173.505 edo. It is notable for its consistency to the 29-throdd limit.

Harmonics

Approximation of odd harmonics in 275edt
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41
Error Absolute (¢) +0.00 +0.91 -0.64 +0.00 -1.60 -0.33 +0.91 -1.37 -0.27 -0.64 +0.94 +1.83 +0.00 +0.78 +2.90 -1.60 +0.28 +0.90 -0.33 +3.00
Relative (%) +0.0 +13.2 -9.2 +0.0 -23.1 -4.7 +13.2 -19.8 -4.0 -9.2 +13.6 +26.5 +0.0 +11.3 +41.9 -23.1 +4.0 +13.0 -4.7 +43.4
Steps
(reduced)
275
(0)
403
(128)
487
(212)
550
(0)
600
(50)
642
(92)
678
(128)
709
(159)
737
(187)
762
(212)
785
(235)
806
(256)
825
(0)
843
(18)
860
(35)
875
(50)
890
(65)
904
(79)
917
(92)
930
(105)