10afdo: Difference between revisions
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+real-life sonifications as all logarithmic or slide rulers are 10ado in essence |
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{{Infobox ADO|steps=10}} | {{Infobox ADO|steps=10}} | ||
'''10ado''' is the [[ADO|arithmetic equal division of the octave]] into ten parts of 1/10 each. Unlike it's half [[5ado]], 10ado is actually quite an effective scale having a minor and supermajor triad on the root. | '''10ado''' is the [[ADO|arithmetic equal division of the octave]] into ten parts of 1/10 each. Unlike it's 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]]. | |||
== Intervals == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
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[[Category:ADO]] | [[Category:ADO]] | ||
[[Category:Real-life sonifications]] | |||
Revision as of 18:19, 22 March 2023
Template:Infobox ADO 10ado is the arithmetic equal division of the octave into ten parts of 1/10 each. Unlike it's 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 | 1.40000 | 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 |