108edo: Difference between revisions

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Aside from tuning, 108 is the smallest number with a prime factorization of the form <math>p^p \cdot q^q</math>. Being close to 100, it is a good substitute for a relative cent if you desire the measure to have such a property. Also, multiplying it by 12 gives the fourth power of an integer.
Aside from tuning, 108 is the smallest number with a prime factorization of the form <math>p^p \cdot q^q</math>. Being close to 100, it is a good substitute for a relative cent if you desire the measure to have such a property. Also, multiplying it by 12 gives the fourth power of an integer.


Since 108edo has a step of 11.111 cents, it also allows one to use its MOS scales as circulating temperaments.  
Since 108edo has a step of 11.111 cents, it also allows one to use its MOS scales as circulating temperaments.  
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[[Category:valentine]]
 
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
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