89edo: Difference between revisions

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Noted that this is a fibonacci number.
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89 has a fifth less than a cent flat and a major third less than five cents sharp, with a 7 two cents sharp and an 11 1.5 cents sharp. It thus delivers reasonably good 11-limit harmony and very good no-fives harmony along with the very useful approximations represented by its commas.
89 has a fifth less than a cent flat and a major third less than five cents sharp, with a 7 two cents sharp and an 11 1.5 cents sharp. It thus delivers reasonably good 11-limit harmony and very good no-fives harmony along with the very useful approximations represented by its commas.


89edo is the 24th [[prime_numbers|prime]] edo, and the 11th in the Fibonacci sequence, which means it's 55th step approximates phi within a fraction of a cent.
89edo is the 24th [[prime_numbers|prime]] edo, and the 11th in the Fibonacci sequence, which means its 55th step approximates logarithmic phi (i.e. (phi-1)*1200 cents) within a fraction of a cent.


== Scales ==
== Scales ==