13afdo: Difference between revisions
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{{Infobox AFDO|steps=13}} | {{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. 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. | '''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 == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 20: | Line 20: | ||
| 128.30 | | 128.30 | ||
| [[14/13]] | | [[14/13]] | ||
| 1. | | 1.0769 | ||
| tridecimal supraminor second | | tridecimal supraminor second | ||
| [[File:Jid_14_13_pluck_adu_dr220.mp3]] | | [[File:Jid_14_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 247. | | 247.74 | ||
| [[15/13]] | | [[15/13]] | ||
| 1. | | 1.1538 | ||
| subminor third | | subminor third | ||
| [[File:Jid_15_13_pluck_adu_dr220.mp3]] | | [[File:Jid_15_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 3 | | 3 | ||
| | | 359.47 | ||
| [[ | | [[16/13]] | ||
| 1. | | 1.23077 | ||
| | | (greater) tridecimal neutral third | ||
| [[File: | | [[File:Jid_16_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 4 | | 4 | ||
| | | 464.42 | ||
| [[ | | [[17/13]] | ||
| 1. | | 1.3077 | ||
| | | septendecimal subfourth | ||
| [[File: | | [[File:Jid_17_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 5 | | 5 | ||
| | | 563.38 | ||
| [[ | | [[18/13]] | ||
| 1. | | 1.3846 | ||
| | | tridecimal augmented fourth | ||
| [[File: | | [[File:Jid_18_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 6 | | 6 | ||
| | | 656.99 | ||
| [[ | | [[19/13]] | ||
| 1. | | 1.4615 | ||
| | | undevicesimal subfifth | ||
| [[File: | | [[File:Jid_19_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 7 | | 7 | ||
| | | 745.79 | ||
| [[ | | [[20/13]] | ||
| 1. | | 1.53846 | ||
| | | tridecimal semitenth | ||
| [[File: | | [[File:Jid_20_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 8 | | 8 | ||
| | | 830.25 | ||
| [[ | | [[21/13]] | ||
| 1. | | 1.61539 | ||
| | | tridecimal supraminor sixth | ||
| [[File: | | [[File:ji-21-13-csound-foscil-220hz.mp3]] | ||
|- | |- | ||
| 9 | | 9 | ||
| | | 910.79 | ||
| [[ | | [[22/13]] | ||
| 1. | | 1.69231 | ||
| | | tridecimal major sixth | ||
| [[File: | | [[File:Jid_22_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 10 | | 10 | ||
| | | 987.75 | ||
| [[ | | [[23/13]] | ||
| 1. | | 1.76923 | ||
| | | vicesimotertial minor seventh | ||
| [[File: | | [[File:Jid_23_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 11 | | 11 | ||
| | | 1061.43 | ||
| [[ | | [[24/13]] | ||
| 1. | | 1.84615 | ||
| | | tridecimal neutral seventh | ||
| [[File: | | [[File:Jid_24_13_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 12 | | 12 | ||
| 1132.09 | |||
| [[25/13]] | |||
| 1.92308 | |||
| lesser tridecimal diminished octave | |||
| [[File:Ji-25-13-csound-foscil-220hz.mp3]] | |||
|- | |||
| 13 | |||
| 1200.0 | | 1200.0 | ||
| [[2/1]] | | [[2/1]] | ||
| Line 101: | Line 108: | ||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | | [[File:Jid_2_1_pluck_adu_dr220.mp3]] | ||
|} | |} | ||