| 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.
|
