7afdo: Difference between revisions

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include OD term and correct implications of links
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{{Infobox ADO|steps=7}}
{{Infobox AFDO|steps=7}}
'''7ado''' ([[ADO|arithmetic division of the octave]]), or '''7-ODO''' ([[otonal division]] of the octave), divides the octave into seven parts of 1/7 each. As a scale it may be known as [[Harmonic mode|mode 7 of the harmonic series]] or the [[Overtone_scale#Over-n_scales|Over-7]] scale. As 7 is a small odd number, this ADO does not contain a perfect fifth or any reasonable approximation to it, and it is relatively poor for its size at creating traditional tonal music.
'''7afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''7odo''' ([[otonal division]] of the octave), divides the octave into seven parts of 1/7 each. It is a superset of [[6afdo]] and a subset of [[8afdo]]. As a scale it may be known as [[Harmonic mode|mode 7 of the harmonic series]] or the [[Overtone scale#Over-7 scales|Over-7]] scale. As 7 is a small odd number, 7afdo does not contain a perfect fifth or any reasonable approximation to one in its root position. This makes 7afdo relatively poor for its size at creating traditional tonal music unless rotated.


== Intervals ==
== Intervals ==
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[[Category:ADO]]
== Scala files ==
* [[Harmd-mix]]
* [[Oheptad]] – same, but starts with 8/7

Latest revision as of 11:08, 23 February 2025

← 6afdo 7afdo 8afdo →
Prime factorization 7 (prime)
Dual sharp fifth 11/7 (782.492c)
Dual flat fifth 10/7 (617.487c)

7afdo (arithmetic frequency division of the octave), or 7odo (otonal division of the octave), divides the octave into seven parts of 1/7 each. It is a superset of 6afdo and a subset of 8afdo. As a scale it may be known as mode 7 of the harmonic series or the Over-7 scale. As 7 is a small odd number, 7afdo does not contain a perfect fifth or any reasonable approximation to one in its root position. This makes 7afdo relatively poor for its size at creating traditional tonal music unless rotated.

Intervals

# Cents Ratio Decimal Interval name Audio
0 0 1/1 1.0000 perfect unison
1 231.2 8/7 1.1429 supermajor second
2 435.1 9/7 1.2857 supermajor third
3 617.5 10/7 1.4286 high tritone
4 782.4 11/7 1.5714 undecimal minor sixth
5 933.1 12/7 1.7143 supermajor sixth
6 1071.7 13/7 1.8571 tridecimal submajor seventh
7 1200.0 2/1 2.0000 perfect octave

Scala files