13afdo: Difference between revisions
Jump to navigation
Jump to search
No edit summary Tags: Mobile edit Mobile web edit |
CompactStar (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
{{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. | '''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. | ||
== Intervals == | |||
{| class="wikitable center-all" | |||
! # | |||
! Cents | |||
! Ratio | |||
! Decimal | |||
! Interval name | |||
! Audio | |||
|- | |||
| 0 | |||
| 0.00 | |||
| [[1/1]] | |||
| 1.0000 | |||
| perfect unison | |||
| | |||
|- | |||
| 1 | |||
| 128.30 | |||
| [[14/13]] | |||
| 1.0833 | |||
| tridecimal supraminor second | |||
| [[File:Jid_14_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 2 | |||
| 247.7 | |||
| [[15/13]] | |||
| 1.1667 | |||
| subminor third | |||
| [[File:Jid_15_13_pluck_adu_dr220.mp3]] | |||
|- | |||
| 3 | |||
| 386.3 | |||
| [[5/4]] | |||
| 1.2500 | |||
| just major third | |||
| [[File:Jid_5_4_pluck_adu_dr220.mp3]] | |||
|- | |||
| 4 | |||
| 498.0 | |||
| [[4/3]] | |||
| 1.3333 | |||
| just perfect fourth | |||
| [[File:Jid_4_3_pluck_adu_dr220.mp3]] | |||
|- | |||
| 5 | |||
| 603.0 | |||
| [[17/12]] | |||
| 1.41667 | |||
| larger septendecimal tritone | |||
| [[File:Jid_17_12_pluck_adu_dr220.mp3]] | |||
|- | |||
| 6 | |||
| 702.0 | |||
| [[3/2]] | |||
| 1.50000 | |||
| just perfect fifth | |||
| [[File:Jid_3_2_pluck_adu_dr220.mp3]] | |||
|- | |||
| 7 | |||
| 792.6 | |||
| [[19/12]] | |||
| 1.58333 | |||
| large undevicesimal minor sixth | |||
| [[File:Jid_19_12_pluck_adu_dr220.mp3]] | |||
|- | |||
| 8 | |||
| 884.4 | |||
| [[5/3]] | |||
| 1.66667 | |||
| just major sixth | |||
| [[File:Jid_5_3_pluck_adu_dr220.mp3]] | |||
|- | |||
| 9 | |||
| 968.8 | |||
| [[7/4]] | |||
| 1.75000 | |||
| harmonic seventh | |||
| [[File:Jid_7_4_pluck_adu_dr220.mp3]] | |||
|- | |||
| 10 | |||
| 1049.3 | |||
| [[11/6]] | |||
| 1.83333 | |||
| undecimal neutral sixth | |||
| [[File:Jid_11_6_pluck_adu_dr220.mp3]] | |||
|- | |||
| 11 | |||
| 1126.3 | |||
| [[23/12]] | |||
| 1.91667 | |||
| vicesimotertial major seventh | |||
| [[File:Ji-23-12-csound-foscil-220hz.mp3]] | |||
|- | |||
| 12 | |||
| 1200.0 | |||
| [[2/1]] | |||
| 2.0000 | |||
| perfect octave | |||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | |||
|} | |||
[[Category:AFDO]] | |||
Revision as of 23:05, 13 April 2023
| ← 12afdo | 13afdo | 14afdo → |
13afdo (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 mode 13 of the harmonic series or the Over-13 scale. Due to being odd, it does not contain a perfect fifth above the root.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0.00 | 1/1 | 1.0000 | perfect unison | |
| 1 | 128.30 | 14/13 | 1.0833 | tridecimal supraminor second | |
| 2 | 247.7 | 15/13 | 1.1667 | subminor third | |
| 3 | 386.3 | 5/4 | 1.2500 | just major third | |
| 4 | 498.0 | 4/3 | 1.3333 | just perfect fourth | |
| 5 | 603.0 | 17/12 | 1.41667 | larger septendecimal tritone | |
| 6 | 702.0 | 3/2 | 1.50000 | just perfect fifth | |
| 7 | 792.6 | 19/12 | 1.58333 | large undevicesimal minor sixth | |
| 8 | 884.4 | 5/3 | 1.66667 | just major sixth | |
| 9 | 968.8 | 7/4 | 1.75000 | harmonic seventh | |
| 10 | 1049.3 | 11/6 | 1.83333 | undecimal neutral sixth | |
| 11 | 1126.3 | 23/12 | 1.91667 | vicesimotertial major seventh | |
| 12 | 1200.0 | 2/1 | 2.0000 | perfect octave |