139ed5: Difference between revisions
→Theory: expand a bit |
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== Theory == | == Theory == | ||
139ed5 is similar to [[60edo]], but with the 5th harmonic being [[just]], instead of the [[ | 139ed5 is similar to [[60edo]], but with the 5th harmonic being [[just]], instead of the [[octave]] being just. The octave is [[stretched and compressed tuning|stretched]] by about 2.73 cents. Like 60edo, 139ed5 is [[consistent]] to the [[integer limit|10-integer-limit]]. | ||
On the harmonics 2, [[3/1|3]], 5, [[7/1|7]], [[11/1|11]], 60edo has 0%, -10%, -32%, -44% and +43% relative error. On those same harmonics, 139ed5 has +14%, +12%, 0%, -6% and -10% relative error. This is a large improvement relative to the step size of the tuning if the focus is on the higher [[prime harmonic|primes]], and is the main reason why a composer might choose to use 139ed5. | On the harmonics 2, [[3/1|3]], 5, [[7/1|7]], [[11/1|11]], 60edo has 0%, -10%, -32%, -44% and +43% relative error. On those same harmonics, 139ed5 has +14%, +12%, 0%, -6% and -10% relative error. This is a large improvement relative to the step size of the tuning if the focus is on the higher [[prime harmonic|primes]], and is the main reason why a composer might choose to use 139ed5. | ||