15afdo: Difference between revisions

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'''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. 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 ==
== Intervals ==
WIP
{| class="wikitable center-all"
{| class="wikitable center-all"
! #
! #
Line 24: Line 23:
| 1.0667
| 1.0667
| just diatonic semitone
| just diatonic semitone
|  
| [[File:Jid_16_15_pluck_adu_dr220.mp3]]
|-
| 2
| 216.69
| [[17/15]]
| 1.1333
| septendecimal whole tone
|  [[File:Jid_16_15_pluck_adu_dr220.mp3]]
|-
|-
| 3
| 3
Line 32: Line 38:
| just minor third
| just minor third
| [[File:Jid_6_5_pluck_adu_dr220.mp3]]
| [[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
| 6
Line 39: Line 59:
| narrow tritone
| narrow tritone
| [[File:Jid_7_5_pluck_adu_dr220.mp3]]
| [[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
| undecimal diminished fifth
| [[File:Ji-23-15-csound-foscil-220hz.mp3]]
|-
|-
| 9
| 9
Line 46: Line 80:
| just minor sixth
| just minor sixth
| [[File:Jid_8_5_pluck_adu_dr220.mp3]]
| [[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
| 12
Line 53: Line 101:
| just minor seventh
| just minor seventh
| [[File:Jid_9_5_pluck_adu_dr220.mp3]]
| [[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
| enneavigesimal supermajor seventh(?)
|
|-
|-
| 15
| 15

Revision as of 02:42, 18 April 2023

← 14afdo 15afdo 16afdo →
Prime factorization 3 × 5
Dual sharp fifth 23/15 (740.005c)
Dual flat fifth 22/15 (663.049c)

15afdo (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 mode 15 of the harmonic series or the Over-15 scale.

Intervals

# 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
2 216.69 17/15 1.1333 septendecimal whole tone
3 315.64 6/5 1.2000 just minor third
4 409.24 19/15 1.2667 large undevicesimal major third
5 498.04 4/3 1.3333 just perfect fourth
6 582.51 7/5 1.4000 narrow tritone
7 663.05 22/15 1.4667 undecimal diminished fifth
8 740.01 23/15 1.5333 undecimal diminished fifth
9 813.68 8/5 1.6000 just minor sixth
10 884.36 5/3 1.6667 just major sixth
11 952.26 26/15 1.7333 tridecimal semitwelfth
12 1017.60 9/5 1.8000 just minor seventh
13 1080.55 28/15 1.8667 septimal grave major seventh
14 1141.31 29/15 1.9333 enneavigesimal supermajor seventh(?)
15 1200.00 2/1 2.0000 perfect octave
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