3ed49/30

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Revision as of 18:18, 4 May 2025 by MisterShafXen (talk | contribs) (Created page with "{{Infobox ET}} {{ED intro}} 6 steps of this tuning is very close to 8/3. {{Harmonics in equal|3|49|30}}")
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← 2ed49/30 3ed49/30 4ed49/30 →
Prime factorization 3 (prime)
Step size 283.128 ¢ 
Octave 4\3ed49/30 (1132.51 ¢)
(semiconvergent)
Twelfth 7\3ed49/30 (1981.89 ¢)
Consistency limit 2
Distinct consistency limit 2

3 equal divisions of 49/30 (abbreviated 3ed49/30) is a nonoctave tuning system that divides the interval of 49/30 into 3 equal parts of about 283 ¢ each. Each step represents a frequency ratio of (49/30)1/3, or the 3rd root of 49/30. 6 steps of this tuning is very close to 8/3.

Approximation of harmonics in 3ed49/30
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -67 +80 -135 +45 +12 +29 +81 -123 -23 +96 -55
Relative (%) -23.8 +28.2 -47.7 +15.9 +4.4 +10.1 +28.5 -43.5 -8.0 +33.8 -19.4
Steps
(reduced)
4
(1)
7
(1)
8
(2)
10
(1)
11
(2)
12
(0)
13
(1)
13
(1)
14
(2)
15
(0)
15
(0)