IFDO: Difference between revisions

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== 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 "[[numerary nexus]]".

== Properties ==

* ''n''-ifdo has [[maximum variety]] ''n''.

* Except for 1ifdo and 2ifdo, IFDOs 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 ==

=== By size ===

{| class="wikitable center-all"

@@ Line 44: / Line 44: @@
 == 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 "[[numerary nexus]]".
+== Properties ==
+* ''n''-ifdo has [[maximum variety]] ''n''.
+* Except for 1ifdo and 2ifdo, IFDOs 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 ==
 === By size ===
 {| class="wikitable center-all"