17afdo: Difference between revisions

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{{Infobox AFDO|steps=17}}
{{Infobox AFDO|steps=17}}


'''17afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''17odo''' ([[otonal division]] of the octave), divides the octave into 17 parts of 1/17 each. As a scale it may be known as [[Harmonic mode|mode 17 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-17]] scale.
'''17afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''17odo''' ([[otonal division]] of the octave), divides the octave into 17 parts of 1/17 each. It is a superset of [[16afdo]] and a subset of [[18afdo]]. As a scale it may be known as [[Harmonic mode|mode 17 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-17]] scale.
 


== Intervals ==
== Intervals ==
TBA
{| class="wikitable center-all"
{| class="wikitable center-all"
! #
! #
Line 13: Line 11:
! Interval name
! Interval name
! Audio
! Audio
|-
| 0
| 0.00
| 1/1
| 1.0000
| Perfect unison
|
|-
| 1
| 98.96
| 18/17
| 1.0588
| Small septendecimal semitone
|
|-
| 2
| 192.56
| 19/17
| 1.1176
| Large undevicesimal whole tone
|
|-
| 3
| 281.36
| 20/17
| 1.1765
| Diatismic minor third
|
|-
| 4
| 365.83
| 21/17
| 1.2353
| Septendecimal submajor third
|
|-
| 5
| 446.36
| 22/17
| 1.2941
| Septendecimal supermajor third
|
|-
| 6
| 523.32
| 23/17
| 1.3529
| Vicesimotertial acute fourth
|
|-
| 7
| 597.00
| 24/17
| 1.4118
| Small septendecimal tritone
|
|-
| 8
| 667.67
| 25/17
| 1.4706
| Vengeance subfifth
|
|-
| 9
| 735.57
| 26/17
| 1.5294
| Septendecimal superfifth
|
|-
| 10
| 800.91
| 27/17
| 1.5882
| Septendecimal quasi-tempered minor sixth
|
|-
| 11
| 863.87
| 28/17
| 1.6471
| Septendecimal submajor sixth
|
|-
| 12
| 924.62
| 29/17
| 1.7059
| Vicesimononal supermajor sixth
|
|-
| 13
| 983.31
| 30/17
| 1.7647
| Diatismic minor seventh
|
|-
| 14
| 1040.08
| 31/17
| 1.8235
| Untrigesimal submajor seventh
|
|-
| 15
| 1095.04
| 32/17
| 1.8824
| Septendecimal major seventh
|
|-
| 16
| 1148.31
| 33/17
| 1.9412
| Septendecimal ultramajor seventh
|
|-
| 17
| 1200.00
| 2/1
| 2.0000
| Perfect octave
|
|}
|}


{{stub}}
 
{{todo|complete table}}
{{todo|inline=1|add sound example|expand|text=Add audio examples to the table, and write some more page body text about 17afdo.}}

Latest revision as of 11:19, 23 February 2025

← 16afdo 17afdo 18afdo →
Prime factorization 17 (prime)
Dual sharp fifth 26/17 (735.572c)
Dual flat fifth 25/17 (667.672c)

17afdo (arithmetic frequency division of the octave), or 17odo (otonal division of the octave), divides the octave into 17 parts of 1/17 each. It is a superset of 16afdo and a subset of 18afdo. As a scale it may be known as mode 17 of the harmonic series or the Over-17 scale.

Intervals

# Cents Ratio Decimal Interval name Audio
0 0.00 1/1 1.0000 Perfect unison
1 98.96 18/17 1.0588 Small septendecimal semitone
2 192.56 19/17 1.1176 Large undevicesimal whole tone
3 281.36 20/17 1.1765 Diatismic minor third
4 365.83 21/17 1.2353 Septendecimal submajor third
5 446.36 22/17 1.2941 Septendecimal supermajor third
6 523.32 23/17 1.3529 Vicesimotertial acute fourth
7 597.00 24/17 1.4118 Small septendecimal tritone
8 667.67 25/17 1.4706 Vengeance subfifth
9 735.57 26/17 1.5294 Septendecimal superfifth
10 800.91 27/17 1.5882 Septendecimal quasi-tempered minor sixth
11 863.87 28/17 1.6471 Septendecimal submajor sixth
12 924.62 29/17 1.7059 Vicesimononal supermajor sixth
13 983.31 30/17 1.7647 Diatismic minor seventh
14 1040.08 31/17 1.8235 Untrigesimal submajor seventh
15 1095.04 32/17 1.8824 Septendecimal major seventh
16 1148.31 33/17 1.9412 Septendecimal ultramajor seventh
17 1200.00 2/1 2.0000 Perfect octave


Todo: add sound example, expand

Add audio examples to the table, and write some more page body text about 17afdo.

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