415EDT is the equal division of the third harmonic into 415 parts of 4.5830cents each, corresponding to 261.8358 edo. It is notable for its impressive consistency records in very high no-evens throdd limits.

← 414edt 415edt 416edt →
Prime factorization 5 × 83
Step size 4.58302 ¢ 
Octave 262\415edt (1200.75 ¢)
Consistency limit 7
Distinct consistency limit 7

Harmonics

Approximation of odd harmonics in 415edt
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
Error Absolute (¢) +0.00 +0.16 -0.30 +0.00 +0.90 +0.42 +0.16 -1.12 -1.19 -0.30 -1.97 +0.33 +0.00 +0.03 -0.85
Relative (%) +0.0 +3.6 -6.6 +0.0 +19.7 +9.2 +3.6 -24.4 -26.0 -6.6 -43.1 +7.2 +0.0 +0.6 -18.6
Steps
(reduced)
415
(0)
608
(193)
735
(320)
830
(0)
906
(76)
969
(139)
1023
(193)
1070
(240)
1112
(282)
1150
(320)
1184
(354)
1216
(386)
1245
(0)
1272
(27)
1297
(52)
Approximation of odd harmonics in 415edt (continued)
Harmonic 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67
Error Absolute (¢) +0.90 -0.14 -0.10 +0.42 +0.92 +0.96 +0.16 -1.79 -0.61 -1.12 +1.03 +1.07 -1.19 -1.31 +0.55 -0.30 +0.59 -1.46
Relative (%) +19.7 -3.0 -2.2 +9.2 +20.1 +20.9 +3.6 -39.0 -13.2 -24.4 +22.5 +23.3 -26.0 -28.7 +12.0 -6.6 +12.8 -32.0
Steps
(reduced)
1321
(76)
1343
(98)
1364
(119)
1384
(139)
1403
(158)
1421
(176)
1438
(193)
1454
(209)
1470
(225)
1485
(240)
1500
(255)
1514
(269)
1527
(282)
1540
(295)
1553
(308)
1565
(320)
1577
(332)
1588
(343)
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