10afdo: Difference between revisions
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{{Infobox AFDO|steps=10}} | {{Infobox AFDO|steps=10}} | ||
'''10afdo''' ([[AFDO|arithmetic division of the octave]]), or '''10odo''' ([[otonal division]] of the octave), divides the octave into ten parts of 1/10 each. As a scale it may be known as [[Harmonic mode|mode 10 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-10]] scale. Unlike its half [[5afdo]], 10afdo is actually quite an effective scale having a minor and supermajor triad on the root. | '''10afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''10odo''' ([[otonal division]] of the octave), divides the octave into ten parts of 1/10 each. As a scale it may be known as [[Harmonic mode|mode 10 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-10]] scale. Unlike its half [[5afdo]], 10afdo is actually quite an effective scale having a minor and supermajor triad on the root. | ||
If the base frequency is 1 Hz (or any other unit), the resulting values are 2, 3, 4, 5, 6, 7, 8, 9, 10 times bigger than the base, followed by 20, 30, 40, 50, 60, 70, 80, 90, then 200, 300, 400, 500, etc. From this perspective, 10afdo constitutes the numerical layout of a [[wikipedia: Slide rule|logarithmic ruler]]. | If the base frequency is 1 Hz (or any other unit), the resulting values are 2, 3, 4, 5, 6, 7, 8, 9, 10 times bigger than the base, followed by 20, 30, 40, 50, 60, 70, 80, 90, then 200, 300, 400, 500, etc. From this perspective, 10afdo constitutes the numerical layout of a [[wikipedia: Slide rule|logarithmic ruler]]. | ||
Revision as of 07:19, 11 April 2023
10afdo (arithmetic frequency division of the octave), or 10odo (otonal division of the octave), divides the octave into ten parts of 1/10 each. As a scale it may be known as mode 10 of the harmonic series or the Over-10 scale. Unlike its half 5afdo, 10afdo is actually quite an effective scale having a minor and supermajor triad on the root.
If the base frequency is 1 Hz (or any other unit), the resulting values are 2, 3, 4, 5, 6, 7, 8, 9, 10 times bigger than the base, followed by 20, 30, 40, 50, 60, 70, 80, 90, then 200, 300, 400, 500, etc. From this perspective, 10afdo constitutes the numerical layout of a logarithmic ruler.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0.00 | 1/1 | 1.0000 | perfect unison | |
| 1 | 165.00 | 11/10 | 1.1000 | large undecimal neutral second | |
| 2 | 315.64 | 6/5 | 1.2000 | just minor third | |
| 3 | 454.21 | 13/10 | 1.3000 | tridecimal semisixth | |
| 4 | 582.51 | 7/5 | 1.4000 | narrow tritone | |
| 5 | 701.96 | 3/2 | 1.50000 | just perfect fifth | |
| 6 | 813.68 | 8/5 | 1.6000 | just minor sixth | |
| 7 | 918.64 | 17/10 | 1.7000 | septendecimal major sixth | |
| 8 | 1017.60 | 9/5 | 1.8000 | just minor seventh | |
| 9 | 1111.20 | 19/10 | 1.9000 | undevicesimal diminished octave | |
| 1 | 1200.00 | 2/1 | 2.0000 | perfect octave |