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An '''IDO''' ('''inverse-arithmetic division of the octave''') or '''ELDO''' ('''equal length division of the octave''') is a [[period]]ic [[tuning system]] which divides the [[octave]] inverse-arithmetically, which means proportional to the length of a string to be divided. The a-th interval in b-IDO is equal to (2b)/(2b-a). All IDOs are subsets of [[just intonation]].
An '''IDO''' ('''inverse-arithmetic division of the octave''') or '''ELDO''' ('''[[equal length division]] of the octave''') is a [[period]]ic [[tuning system]] which divides the [[octave]] inverse-arithmetically, which means proportional to the length of a string to be divided. The a-th interval in b-IDO is equal to (2b)/(2b-a). All IDOs are subsets of [[just intonation]].
== Individual pages for IDOs ==
== Individual pages for IDOs ==
* [[2ido]]
* [[2ido]]

Revision as of 18:05, 21 March 2023

An IDO (inverse-arithmetic division of the octave) or ELDO (equal length division of the octave) is a periodic tuning system which divides the octave inverse-arithmetically, which means proportional to the length of a string to be divided. The a-th interval in b-IDO is equal to (2b)/(2b-a). All IDOs are subsets of just intonation.

Individual pages for IDOs

See also

  • EDL – equal division of length, a similar concept
  • ADO – arithmetic division of the octave
  • EDO – equal division of the octave