← 384edo 385edo 386edo →
Prime factorization 5 × 7 × 11
Step size 3.11688 ¢ 
Fifth 225\385 (701.299 ¢) (→ 45\77)
Semitones (A1:m2) 35:30 (109.1 ¢ : 93.51 ¢)
Consistency limit 7
Distinct consistency limit 7

Template:EDO intro

Theory

385edo has a reasonable approximation to the 11-limit, and perhaps beyond. The equal temperament tempers out 19683/19600, 589824/588245, and 703125/702464 in the 7-limit; 540/539, 8019/8000, 43923/43904, 151263/151250, 160083/160000, 166698/166375, and 172032/171875 in the 11-limit. It supports hemipental and provides the optimal patent val for the 7-limit version thereof. Using the patent val, it tempers out 1575/1573, 1716/1715, 2200/2197, 4096/4095, 6656/6655 and 10648/10647 in the 13-limit; and 936/935, 1275/1274, 1377/1375, and 2601/2600 in the 17-limit.

Prime harmonics

Approximation of prime harmonics in 385edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.66 +0.18 +0.52 +0.37 +1.03 +1.02 -1.41 +1.34 -1.01 -1.14
Relative (%) +0.0 -21.1 +5.8 +16.8 +11.9 +33.1 +32.7 -45.2 +42.9 -32.3 -36.6
Steps
(reduced)
385
(0)
610
(225)
894
(124)
1081
(311)
1332
(177)
1425
(270)
1574
(34)
1635
(95)
1742
(202)
1870
(330)
1907
(367)

Subsets and supersets

Since 385 factors into 5 × 7 × 11, 385edo has subset edos 5, 7, 11, 35, 55, and 77.

Regular temperament properties

Template:Comma basis begin |- | 2.3 | [-122 77 | [385 610]] | +0.2070 | 0.2071 | 6.64 |- | 2.3.5 | [-28 25 -5, [38 -2 -15 | [385 610 894]] | +0.1122 | 0.2158 | 6.92 |- | 2.3.5.7 | 19683/19600, 589824/588245, 703125/702464 | [385 610 894 1081]] | +0.0374 | 0.2274 | 7.30 |- | 2.3.5.7.11 | 540/539, 8019/8000, 151263/151250, 172032/171875 | [385 610 894 1081 1332]] | +0.0085 | 0.2114 | 6.78 |- | 2.3.5.7.11.13 | 540/539, 1575/1573, 2200/2197, 4096/4095, 8019/8000 | [385 610 894 1081 1332 1425]] | −0.0394 | 0.2207 | 7.08 |- | 2.3.5.7.11.13.17 | 540/539, 936/935, 1377/1375, 1575/1573, 2200/2197, 4096/4095 | [385 610 894 1081 1332 1425 1574]] | −0.0693 | 0.2171 | 6.97 Template:Comma basis end

Rank-2 temperaments

Template:Rank-2 begin |- | 1 | 62\385 | 193.25 | 262144/234375 | Luna |- | 1 | 162/385 | 504.94 | 4/3 | Countermeantone |- | 5 | 80\385
(3\385) | 249.35
(9.35) | 81/70
(176/175) | Hemipental |- | 5 | 160\385
(6\385) | 498.70
(18.70) | 4/3
(81/80) | Pental (5-limit) Template:Rank-2 end Template:Orf