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 == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! # | ! # | ||
| Line 24: | Line 24: | ||
| 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_17_15_pluck_adu_dr220.mp3]] | |||
|- | |- | ||
| 3 | | 3 | ||
| Line 32: | Line 39: | ||
| 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 60: | ||
| 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 | |||
| vicesimotertial ultraminor sixth | |||
| [[File:Ji-23-15-csound-foscil-220hz.mp3]] | |||
|- | |- | ||
| 9 | | 9 | ||
| Line 46: | Line 81: | ||
| 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 102: | ||
| 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 | |||
| | |||
| | |||
|- | |- | ||
| 15 | | 15 | ||
Latest revision as of 11:14, 23 February 2025
| ← 14afdo | 15afdo | 16afdo → |
15afdo (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 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 | vicesimotertial ultraminor sixth | |
| 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 | ||
| 15 | 1200.00 | 2/1 | 2.0000 | perfect octave |