2ed49/30: Difference between revisions

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{{novelty}}
{{Infobox ET}}
{{Infobox ET}}
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{{Harmonics in equal|2|48|30}}

Latest revision as of 23:21, 3 May 2025

This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

← 1ed49/30 2ed49/30 3ed49/30 →
Prime factorization 2 (prime) (highly composite)
Step size 424.692 ¢ 
Octave 3\2ed49/30 (1274.07 ¢)
(convergent)
Twelfth 4\2ed49/30 (1698.77 ¢) (→ 2\1ed49/30)
Consistency limit 2
Distinct consistency limit 2

2 equal divisions of 49/30 (abbreviated 2ed49/30) is a nonoctave tuning system that divides the interval of 49/30 into 2 equal parts of about 425 ¢ each. Each step represents a frequency ratio of (49/30)1/2, or the square root of 49/30.

Approximation of harmonics in 2ed48/30
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +21 +132 +41 +62 +153 -114 +62 -142 +82 -83 +173
Relative (%) +5.0 +32.5 +10.1 +15.1 +37.6 -28.0 +15.1 -35.0 +20.2 -20.4 +42.6
Steps
(reduced)
3
(1)
5
(1)
6
(0)
7
(1)
8
(0)
8
(0)
9
(1)
9
(1)
10
(0)
10
(0)
11
(1)