471edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}
==== Odd harmonics ====
{{Harmonics in equal|471}}
{{Stub}}

Latest revision as of 06:44, 20 February 2025

← 470edo 471edo 472edo →
Prime factorization 3 × 157
Step size 2.54777 ¢ 
Fifth 276\471 (703.185 ¢) (→ 92\157)
Semitones (A1:m2) 48:33 (122.3 ¢ : 84.08 ¢)
Dual sharp fifth 276\471 (703.185 ¢) (→ 92\157)
Dual flat fifth 275\471 (700.637 ¢)
Dual major 2nd 80\471 (203.822 ¢)
Consistency limit 5
Distinct consistency limit 5

471 equal divisions of the octave (abbreviated 471edo or 471ed2), also called 471-tone equal temperament (471tet) or 471 equal temperament (471et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 471 equal parts of about 2.55 ¢ each. Each step represents a frequency ratio of 21/471, or the 471st root of 2.

Odd harmonics

Approximation of odd harmonics in 471edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +1.23 +0.95 -0.67 -0.09 -1.00 +0.24 -0.37 -0.50 +0.58 +0.56 +1.03
Relative (%) +48.3 +37.2 -26.4 -3.5 -39.2 +9.3 -14.5 -19.5 +22.6 +21.8 +40.2
Steps
(reduced)
747
(276)
1094
(152)
1322
(380)
1493
(80)
1629
(216)
1743
(330)
1840
(427)
1925
(41)
2001
(117)
2069
(185)
2131
(247)


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