4afdo: Difference between revisions

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[[File:4ado scale.wav|thumb]]
[[File:4ado scale.wav|thumb]]
'''4ado''' is the [[ADO|arithmetic equal division of the octave]] into four parts of 1/4 each. 4ado is perhaps the smallest ADO that contains useful intervals for harmony, containing the major third, perfect fifth, and harmonic seventh. It is just large enough to be usable as a scale.
'''4ado''' is the [[ADO|arithmetic equal division of the octave]] into four parts of 1/4 each. 4ado is perhaps the smallest ADO that contains useful intervals for harmony, containing the major third, perfect fifth, and harmonic seventh. Because 4 is a power of 2, 4ado corresponds to the 1st to 4th harmonics octave-reduced.
 
== Intervals ==
== Intervals ==
{| class="wikitable center-all"
{| class="wikitable center-all"

Revision as of 01:08, 2 March 2023

4ado is the arithmetic equal division of the octave into four parts of 1/4 each. 4ado is perhaps the smallest ADO that contains useful intervals for harmony, containing the major third, perfect fifth, and harmonic seventh. Because 4 is a power of 2, 4ado corresponds to the 1st to 4th harmonics octave-reduced.

Intervals

# Cents Ratio Interval name Audio
0 0 1/1 perfect unison
1 386.3 5/4 just major third
2 702.0 3/2 just perfect fifth
3 968.8 7/4 harmonic seventh
4 1200.0 2/1 perfect octave