15afdo: Difference between revisions

Revision as of 02:35, 18 April 2023

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.

WIP

#	Cents	Ratio	Decimal	Interval name
0	0.00	1/1	1.0000	perfect unison
1	111.73	16/15]	1.0667	just diatonic semitone
3	315.64	6/5	1.2000	just minor third
6	582.51	7/5	1.4000	narrow tritone
9	813.68	8/5	1.6000	just minor sixth
12	1017.60	9/5	1.8000	just minor seventh
15	1200.00	2/1	2.0000	perfect octave

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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.
+== Intervals ==
+WIP
+{| 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
+|
+|-
+| 3
+| 315.64
+| [[6/5]]
+| 1.2000
+| just minor third
+| [[File:Jid_6_5_pluck_adu_dr220.mp3]]
+|-
+| 6
+| 582.51
+| [[7/5]]
+| 1.4000
+| narrow tritone
+| [[File:Jid_7_5_pluck_adu_dr220.mp3]]
+|-
+| 9
+| 813.68
+| [[8/5]]
+| 1.6000
+| just minor sixth
+| [[File:Jid_8_5_pluck_adu_dr220.mp3]]
+|-
+| 12
+| 1017.60
+| [[9/5]]
+| 1.8000
+| just minor seventh
+| [[File:Jid_9_5_pluck_adu_dr220.mp3]]
+|-
+| 15
+| 1200.00
+| [[2/1]]
+| 2.0000
+| perfect octave
+| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
+|}