15afdo: Difference between revisions
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{{Infobox AFDO|steps=15}} | {{Infobox AFDO|steps=15}} | ||
'''15afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''15odo''' ([[otonal division]] of the octave), divides the octave into 15 parts of 1/15 each. As a scale it may be known as [[Harmonic mode|mode 15 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-15]] scale. | '''15afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''15odo''' ([[otonal division]] of the octave), divides the octave into 15 parts of 1/15 each. It is a superset of [[14afdo]] and a subset of [[16afdo]]. As a scale it may be known as [[Harmonic mode|mode 15 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-15]] scale. | ||
== Intervals == | |||
{| class="wikitable center-all" | |||
! # | |||
! Cents | |||
! Ratio | |||
! Decimal | |||
! Interval name | |||
! Audio | |||
|- | |||
| 0 | |||
| 0.00 | |||
| [[1/1]] | |||
| 1.0000 | |||
| perfect unison | |||
| | |||
|- | |||
| 1 | |||
| 111.73 | |||
| [[16/15]] | |||
| 1.0667 | |||
| just diatonic semitone | |||
| [[File:Jid_16_15_pluck_adu_dr220.mp3]] | |||
|- | |||
| 2 | |||
| 216.69 | |||
| [[17/15]] | |||
| 1.1333 | |||
| septendecimal whole tone | |||
| [[File:Jid_17_15_pluck_adu_dr220.mp3]] | |||
|- | |||
| 3 | |||
| 315.64 | |||
| [[6/5]] | |||
| 1.2000 | |||
| just minor third | |||
| [[File:Jid_6_5_pluck_adu_dr220.mp3]] | |||
|- | |||
| 4 | |||
| 409.24 | |||
| [[19/15]] | |||
| 1.2667 | |||
| large undevicesimal major third | |||
| [[File:Jid_19_15_pluck_adu_dr220.mp3]] | |||
|- | |||
| 5 | |||
| 498.04 | |||
| [[4/3]] | |||
| 1.3333 | |||
| just perfect fourth | |||
| [[File:Jid_4_3_pluck_adu_dr220.mp3]] | |||
|- | |||
| 6 | |||
| 582.51 | |||
| [[7/5]] | |||
| 1.4000 | |||
| narrow tritone | |||
| [[File:Jid_7_5_pluck_adu_dr220.mp3]] | |||
|- | |||
| 7 | |||
| 663.05 | |||
| [[22/15]] | |||
| 1.4667 | |||
| undecimal diminished fifth | |||
| [[File:Jid_22_15_pluck_adu_dr220.mp3]] | |||
|- | |||
| 8 | |||
| 740.01 | |||
| [[23/15]] | |||
| 1.5333 | |||
| vicesimotertial ultraminor sixth | |||
| [[File:Ji-23-15-csound-foscil-220hz.mp3]] | |||
|- | |||
| 9 | |||
| 813.68 | |||
| [[8/5]] | |||
| 1.6000 | |||
| just minor sixth | |||
| [[File:Jid_8_5_pluck_adu_dr220.mp3]] | |||
|- | |||
| 10 | |||
| 884.36 | |||
| [[5/3]] | |||
| 1.6667 | |||
| just major sixth | |||
| [[File:Jid_5_3_pluck_adu_dr220.mp3]] | |||
|- | |||
| 11 | |||
| 952.26 | |||
| [[26/15]] | |||
| 1.7333 | |||
| tridecimal semitwelfth | |||
| [[File:Jid_26_15_pluck_adu_dr220.mp3]] | |||
|- | |||
| 12 | |||
| 1017.60 | |||
| [[9/5]] | |||
| 1.8000 | |||
| just minor seventh | |||
| [[File:Jid_9_5_pluck_adu_dr220.mp3]] | |||
|- | |||
| 13 | |||
| 1080.55 | |||
| [[28/15]] | |||
| 1.8667 | |||
| septimal grave major seventh | |||
| [[File:Jid_28_15_pluck_adu_dr220.mp3]] | |||
|- | |||
| 14 | |||
| 1141.31 | |||
| 29/15 | |||
| 1.9333 | |||
| | |||
| | |||
|- | |||
| 15 | |||
| 1200.00 | |||
| [[2/1]] | |||
| 2.0000 | |||
| perfect octave | |||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | |||
|} | |||