2ed10: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}
{{ED intro}}
==Harmonics==
{{Harmonics in equal | 2 | 10 | 1}}

Latest revision as of 12:23, 24 June 2025

← 1ed10 2ed10 3ed10 →
Prime factorization 2 (prime)
Step size 1993.16 ¢ 
Octave 1\2ed10 (1993.16 ¢)
Twelfth 1\2ed10 (1993.16 ¢)
(convergent)
Consistency limit 3
Distinct consistency limit 2
Special properties

2 equal divisions of the 10th harmonic (abbreviated 2ed10) is a nonoctave tuning system that divides the interval of 10/1 into 2 equal parts of about 1990 ¢ each. Each step represents a frequency ratio of 101/2, or the 2nd root of 10.

Harmonics

Approximation of harmonics in 2ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +793 +91 -407 -793 +884 +617 +386 +182 +0 -165 -316
Relative (%) +39.8 +4.6 -20.4 -39.8 +44.4 +31.0 +19.4 +9.2 +0.0 -8.3 -15.8
Steps
(reduced)
1
(1)
1
(1)
1
(1)
1
(1)
2
(0)
2
(0)
2
(0)
2
(0)
2
(0)
2
(0)
2
(0)