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 == | ||
| Line 12: | Line 12: | ||
! Audio | ! Audio | ||
|- | |- | ||
|0 | | 0 | ||
|0.00 | | 0.00 | ||
|1/1 | | 1/1 | ||
|1.0000 | | 1.0000 | ||
|Perfect | | Perfect unison | ||
| | | | ||
|- | |- | ||
|1 | | 1 | ||
|98.96 | | 98.96 | ||
|18/17 | | 18/17 | ||
|1.0588 | | 1.0588 | ||
|Small | | Small septendecimal semitone | ||
| | | | ||
|- | |- | ||
|2 | | 2 | ||
|192.56 | | 192.56 | ||
|19/17 | | 19/17 | ||
|1.1176 | | 1.1176 | ||
|Large | | Large undevicesimal whole tone | ||
| | | | ||
|- | |- | ||
|3 | | 3 | ||
|281.36 | | 281.36 | ||
|20/17 | | 20/17 | ||
|1.1765 | | 1.1765 | ||
|Diatismic | | Diatismic minor third | ||
| | | | ||
|- | |- | ||
|4 | | 4 | ||
|365.83 | | 365.83 | ||
|21/17 | | 21/17 | ||
|1.2353 | | 1.2353 | ||
|Septendecimal | | Septendecimal submajor third | ||
| | | | ||
|- | |- | ||
|5 | | 5 | ||
|446.36 | | 446.36 | ||
|22/17 | | 22/17 | ||
|1.2941 | | 1.2941 | ||
|Septendecimal | | Septendecimal supermajor third | ||
| | | | ||
|- | |- | ||
|6 | | 6 | ||
|523.32 | | 523.32 | ||
|23/17 | | 23/17 | ||
|1.3529 | | 1.3529 | ||
|Vicesimotertial | | Vicesimotertial acute fourth | ||
| | | | ||
|- | |- | ||
|7 | | 7 | ||
|597.00 | | 597.00 | ||
|24/17 | | 24/17 | ||
|1.4118 | | 1.4118 | ||
|Small | | Small septendecimal tritone | ||
| | | | ||
|- | |- | ||
|8 | | 8 | ||
|667.67 | | 667.67 | ||
|25/17 | | 25/17 | ||
|1.4706 | | 1.4706 | ||
|Vengeance | | Vengeance subfifth | ||
| | | | ||
|- | |- | ||
|9 | | 9 | ||
|735.57 | | 735.57 | ||
|26/17 | | 26/17 | ||
|1.5294 | | 1.5294 | ||
|Septendecimal | | Septendecimal superfifth | ||
| | | | ||
|- | |- | ||
|10 | | 10 | ||
|800.91 | | 800.91 | ||
|27/17 | | 27/17 | ||
|1.5882 | | 1.5882 | ||
|Septendecimal | | Septendecimal quasi-tempered minor sixth | ||
| | | | ||
|- | |- | ||
|11 | | 11 | ||
|863.87 | | 863.87 | ||
|28/17 | | 28/17 | ||
|1.6471 | | 1.6471 | ||
|Septendecimal | | Septendecimal submajor sixth | ||
| | | | ||
|- | |- | ||
|12 | | 12 | ||
|924.62 | | 924.62 | ||
|29/17 | | 29/17 | ||
|1.7059 | | 1.7059 | ||
|Vicesimononal supermajor sixth | | Vicesimononal supermajor sixth | ||
| | | | ||
|- | |- | ||
|13 | | 13 | ||
|983.31 | | 983.31 | ||
|30/17 | | 30/17 | ||
|1.7647 | | 1.7647 | ||
|Diatismic | | Diatismic minor seventh | ||
| | | | ||
|- | |- | ||
|14 | | 14 | ||
|1040.08 | | 1040.08 | ||
|31/17 | | 31/17 | ||
|1.8235 | | 1.8235 | ||
|Untrigesimal | | Untrigesimal submajor seventh | ||
| | | | ||
|- | |- | ||
|15 | | 15 | ||
|1095.04 | | 1095.04 | ||
|32/17 | | 32/17 | ||
|1.8824 | | 1.8824 | ||
|Septendecimal | | Septendecimal major seventh | ||
| | | | ||
|- | |- | ||
|16 | | 16 | ||
|1148.31 | | 1148.31 | ||
|33/17 | | 33/17 | ||
|1.9412 | | 1.9412 | ||
|Septendecimal | | Septendecimal ultramajor seventh | ||
| | | | ||
|- | |- | ||
|17 | | 17 | ||
|1200.00 | | 1200.00 | ||
|2/1 | | 2/1 | ||
|2.0000 | | 2.0000 | ||
|Perfect | | Perfect octave | ||
| | | | ||
|} | |} | ||
{{todo|inline=1|add sound example|expand|text=Add audio examples to the table, and write some more page body text about 17afdo.}} | {{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 → |
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. |