60ed6: Difference between revisions
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Add detailed comparison with 23edo |
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{{Infobox ET}} | {{Infobox ET}} | ||
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It is similar to [[23edo]], but with the octave (2/1) being [[octave shrinking|compressed]] by 10.9 cents, and with the interval [[6/1]] being [[just]], instead of 2/1 being just. | |||
== Harmonics == | == Harmonics == | ||
23edo’s 3/1, 5/1, 7/1 and 11/1 are all more than 20 cents away from just, causing them to exhibit very little [[consonance]]. 60ed6 improves upon all of their tunings, bringing all of them within 16 cents of just, and bringing 3, 5 and 7 within 11 cents of just. This dramatically increases the number of consonant intervals and chords available in the tuning. | |||
The trade-off is that 60ed6’s octave - 2/1 - is significantly worse than 23edo. It has almost 11 cents of error, compared to 0. For some composers, 11 cents error on the octave may be unacceptable. But for others, it may be considered still close enough for consonance and [[octave equivalence]] to be well preserved, and they may see it a worthwhile sacrifice to unlock so many warm [[11-limit]] harmonies. | |||
{{Harmonics in equal|60|6|1|intervals=prime}} | {{Harmonics in equal|60|6|1|intervals=prime}} | ||
{{ | 23edo for comparison: | ||
{{Harmonics in equal|23|2|1|intervals=prime}} | |||
== Intervals == | |||
{{Interval table}} | |||
{{todo|expand}} | |||