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'''13afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''13odo''' ([[otonal division]] of the octave), divides the octave into thirteen parts of 1/13 each. As a scale it may be known as [[Harmonic mode|mode 13 of the harmonic series]] or the [[Overtone scale#Over-n%20scales|Over-13]] scale. | {{Infobox AFDO|steps=13}} | ||
'''13afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''13odo''' ([[otonal division]] of the octave), divides the octave into thirteen parts of 1/13 each. It is a superset of [[12afdo]] and a subset of [[14afdo]]. As a scale it may be known as [[Harmonic mode|mode 13 of the harmonic series]] or the [[Overtone scale#Over-n%20scales|Over-13]] scale. Due to being odd, it does not contain a perfect fifth above the root. | |||
== Intervals == | |||
{| class="wikitable center-all" | |||
! # | |||
! Cents | |||
! Ratio | |||
! Decimal | |||
! Interval name | |||
! Audio | |||
|- | |||
| 0 | |||
| 0.00 | |||
| [[1/1]] | |||
| 1.0000 | |||
| perfect unison | |||
| | |||
|- | |||
| 1 | |||
| 128.30 | |||
| [[14/13]] | |||
| 1.0769 | |||
| tridecimal supraminor second | |||
| [[File:Jid_14_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 2 | |||
| 247.74 | |||
| [[15/13]] | |||
| 1.1538 | |||
| subminor third | |||
| [[File:Jid_15_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 3 | |||
| 359.47 | |||
| [[16/13]] | |||
| 1.23077 | |||
| (greater) tridecimal neutral third | |||
| [[File:Jid_16_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 4 | |||
| 464.42 | |||
| [[17/13]] | |||
| 1.3077 | |||
| septendecimal subfourth | |||
| [[File:Jid_17_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 5 | |||
| 563.38 | |||
| [[18/13]] | |||
| 1.3846 | |||
| tridecimal augmented fourth | |||
| [[File:Jid_18_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 6 | |||
| 656.99 | |||
| [[19/13]] | |||
| 1.4615 | |||
| undevicesimal subfifth | |||
| [[File:Jid_19_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 7 | |||
| 745.79 | |||
| [[20/13]] | |||
| 1.53846 | |||
| tridecimal semitenth | |||
| [[File:Jid_20_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 8 | |||
| 830.25 | |||
| [[21/13]] | |||
| 1.61539 | |||
| tridecimal supraminor sixth | |||
| [[File:ji-21-13-csound-foscil-220hz.mp3]] | |||
|- | |||
| 9 | |||
| 910.79 | |||
| [[22/13]] | |||
| 1.69231 | |||
| tridecimal major sixth | |||
| [[File:Jid_22_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 10 | |||
| 987.75 | |||
| [[23/13]] | |||
| 1.76923 | |||
| vicesimotertial minor seventh | |||
| [[File:Jid_23_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 11 | |||
| 1061.43 | |||
| [[24/13]] | |||
| 1.84615 | |||
| tridecimal neutral seventh | |||
| [[File:Jid_24_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 12 | |||
| 1132.09 | |||
| [[25/13]] | |||
| 1.92308 | |||
| lesser tridecimal diminished octave | |||
| [[File:Ji-25-13-csound-foscil-220hz.mp3]] | |||
|- | |||
| 13 | |||
| 1200.0 | |||
| [[2/1]] | |||
| 2.0000 | |||
| perfect octave | |||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | |||
|} | |||
Latest revision as of 03:58, 30 July 2025
| ← 12afdo | 13afdo | 14afdo → |
13afdo (arithmetic frequency division of the octave), or 13odo (otonal division of the octave), divides the octave into thirteen parts of 1/13 each. It is a superset of 12afdo and a subset of 14afdo. As a scale it may be known as mode 13 of the harmonic series or the Over-13 scale. Due to being odd, it does not contain a perfect fifth above the root.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0.00 | 1/1 | 1.0000 | perfect unison | |
| 1 | 128.30 | 14/13 | 1.0769 | tridecimal supraminor second | |
| 2 | 247.74 | 15/13 | 1.1538 | subminor third | |
| 3 | 359.47 | 16/13 | 1.23077 | (greater) tridecimal neutral third | |
| 4 | 464.42 | 17/13 | 1.3077 | septendecimal subfourth | |
| 5 | 563.38 | 18/13 | 1.3846 | tridecimal augmented fourth | |
| 6 | 656.99 | 19/13 | 1.4615 | undevicesimal subfifth | |
| 7 | 745.79 | 20/13 | 1.53846 | tridecimal semitenth | |
| 8 | 830.25 | 21/13 | 1.61539 | tridecimal supraminor sixth | |
| 9 | 910.79 | 22/13 | 1.69231 | tridecimal major sixth | |
| 10 | 987.75 | 23/13 | 1.76923 | vicesimotertial minor seventh | |
| 11 | 1061.43 | 24/13 | 1.84615 | tridecimal neutral seventh | |
| 12 | 1132.09 | 25/13 | 1.92308 | lesser tridecimal diminished octave | |
| 13 | 1200.0 | 2/1 | 2.0000 | perfect octave |