10afdo: Difference between revisions
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{{Infobox ADO|steps=10}} | {{Infobox ADO|steps=10}} | ||
'''10ado''' | '''10ado''' ([[ADO|arithmetic division of the octave]]), or '''10-ODO''' ([[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 [[5ado]], 10ado 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, 10ado 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, 10ado constitutes the numerical layout of a [[wikipedia:Slide rule|logarithmic ruler]]. | ||
Revision as of 18:36, 30 March 2023
Template:Infobox ADO 10ado (arithmetic division of the octave), or 10-ODO (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 5ado, 10ado 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, 10ado 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 |