16ifdo: Difference between revisions
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Created page with "{{Infobox IFDO|steps=16}} '''16ifdo''' (inverse-arithmetic frequency division of the octave), or '''16udo''' (utonal division of the octave), if the attempt is made to use it as an actual tuning system, would divide the octave into sixteen inverse-arithmetically equal parts. It is a superset of 15ifdo and a subset of 17ifdo, its inverse is 16afdo. As a scale it may also be known as mode 16 of the subharmonic series or the Under-16 sca..." |
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{{Infobox IFDO|steps=16}} | {{Infobox IFDO|steps=16}} | ||
'''16ifdo''' ([[IFDO|inverse-arithmetic frequency division of the octave]]), or '''16udo''' ([[utonal division]] of the octave) | '''16ifdo''' ([[IFDO|inverse-arithmetic frequency division of the octave]]), or '''16udo''' ([[utonal division]] of the octave) would divide the [[octave]] into sixteen inverse-arithmetically equal parts. It is a superset of [[15ifdo]] and a subset of [[17ifdo]], its inverse is [[16afdo]]. As a [[scale]] it may also be known as mode 16 of the subharmonic series or the Under-16 scale | ||
== Intervals == | == Intervals == | ||
Latest revision as of 12:50, 28 August 2026
| ← 15ifdo 16ifdo 17ifdo → | |
|---|---|
| Prime factors | 2 |
| Fifth | 32 / 21 (729.2 cents) |
16ifdo (inverse-arithmetic frequency division of the octave), or 16udo (utonal division of the octave) would divide the octave into sixteen inverse-arithmetically equal parts. It is a superset of 15ifdo and a subset of 17ifdo, its inverse is 16afdo. As a scale it may also be known as mode 16 of the subharmonic series or the Under-16 scale
Intervals
| # | Cents | Ratio | Interval name | Audio |
|---|---|---|---|---|
| 0 | 0.00 | 1/1 | perfect unison | |
| 1 | 54.964 | 32/31 | small tricesimoprimal quartertone | |
| 2 | 111.731 | 16/15 | just diatonic semitone | |
| 3 | 170.423 | 32/29 | vicesimononal submajor second | |
| 4 | 231.174 | 8/7 | septimal major second | |
| 5 | 294.135 | 32/27 | Pythagorean minor third | |
| 6 | 359.472 | 16/13 | (greater) tridecimal neutral third | |
| 7 | 427.373 | 32/25 | classic(al) diminished fourth | |
| 8 | 498.045 | 4/3 | just perfect fourth | |
| 9 | 571.726 | 32/23 | vicesimotertial narrow tritone | |
| 10 | 648.682 | 16/11 | undecimal subfifth | |
| 11 | 729.219 | 32/21 | septimal superfifth | |
| 12 | 813.686 | 8/5 | just minor sixth | |
| 13 | 902.487 | 32/19 | utonal major sixth | |
| 14 | 996.090 | 16/9 | Pythagorean minor seventh | |
| 15 | 1095.045 | 32/17 | septendecimal major seventh | |
| 16 | 1200.000 | 2/1 | octave |