Subharmonics 16–32: 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 | {{Infobox subharmonics|16}} | ||
{{Subharmonics intro|16}} | |||
== Intervals == | == Intervals == | ||
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* [https://www.youtube.com/watch?v=xxz798pc7y8 ''Alive with Pleasure Cream Attack''] (2026) | * [https://www.youtube.com/watch?v=xxz798pc7y8 ''Alive with Pleasure Cream Attack''] (2026) | ||
{{Navbox subharmonics}} | |||
Latest revision as of 00:50, 11 October 2026
| Prime factorization | 24 |
| Dual sharp fifth | 32/21 (729.219c) |
| Dual flat fifth | 32/22 (648.682c) |
The subharmonics 16–32 are the subharmonics 16 through 32 of the subharmonic series. Above the root they form the ratios 32/32, 32/31, …, 32/16 and span one octave. Used as a scale, this set is also called mode 16 of the subharmonic series. The inverse consists of harmonics 16–32.
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 |
Music
| View • Talk • EditUndertone scales | |
|---|---|
| Small modes | 3 • 11 • 16 • 18 |
| Families | 3/: 3 • 18 |
| Related | Subharmonic series • Harmonic series • Overtone scale • Ringer scale |