IFDO: Difference between revisions
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== Relation to utonality and subharmonic series == | == Relation to utonality and subharmonic series == | ||
We can consider an IFDO system as a [[Otonality and utonality|utonal system]]. ''Utonality'' is a term introduced by [[Harry Partch]] to describe chords whose notes are the undertones (divisors) of a given fixed tone. Considering IFDO, a utonality is a collection of pitches which can be expressed in ratios that have the same numerators. For example, 7/4, 7/5, 7/6 form an utonality in which 7 as the numerator is called a "[http://tonalsoft.com/enc/n/nexus.aspx Numerary nexus]". | We can consider an IFDO system as a [[Otonality and utonality|utonal system]]. ''Utonality'' is a term introduced by [[Harry Partch]] to describe chords whose notes are the undertones (divisors) of a given fixed tone. Considering IFDO, a utonality is a collection of pitches which can be expressed in ratios that have the same numerators. For example, 7/4, 7/5, 7/6 form an utonality in which 7 as the numerator is called a "[http://tonalsoft.com/enc/n/nexus.aspx Numerary nexus]". | ||
== Properties == | |||
* ''n''-ifdo has [[maximum variety]] ''n''. | |||
* Except for 1ifdo and 2ifdo, AFDOs are [[chiral]]. The inverse of ''n''-ifdo is ''n''-afdo. | |||
** 1ifdo is equivalent to 1afdo and 1edo; | |||
** 2ifdo is equivalent to 2afdo. | |||
== Individual pages for IFDOs == | == Individual pages for IFDOs == | ||
=== By size === | === By size === | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||