229ed169: Difference between revisions
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== Theory == | |||
229ed169 is similar to [[31edo]], but the octave is stretched by 2.23893{{c}}. Since the 13th harmonic is exactly halfway between 114 and 115 steps, this difference is the absolute maximum amount of octave stretch 31edo can tolerate before a discrepancy for the 13th harmonic occurs. | |||
[[Category:31edo]] | |||
Revision as of 22:35, 19 July 2025
| ← 228ed169 | 229ed169 | 230ed169 → |
(semiconvergent)
229 equal divisions of the 169th harmonic (abbreviated 229ed169) is a nonoctave tuning system that divides the interval of 169/1 into 229 equal parts of about 38.8 ¢ each. Each step represents a frequency ratio of 1691/229, or the 229th root of 169.
Theory
229ed169 is similar to 31edo, but the octave is stretched by 2.23893 ¢. Since the 13th harmonic is exactly halfway between 114 and 115 steps, this difference is the absolute maximum amount of octave stretch 31edo can tolerate before a discrepancy for the 13th harmonic occurs.