Harmonics 17–34

Harmonics 17–34
Prime factorization	17 (prime)
Dual sharp fifth	26/17 (735.572c)
Dual flat fifth	25/17 (667.672c)

The harmonic segment 17::34 (also harmonics 17–34) consists of harmonics 17 through 34 (17:18:…:34) and spans one octave above the root. Used as a scale, it is also called mode 17 of the harmonic series.

Intervals

#	Cents	Ratio	Decimal	Interval name
0	0.00	1/1	1.0000	Perfect unison
1	98.96	18/17	1.0588	Small septendecimal semitone
2	192.56	19/17	1.1176	Large undevicesimal whole tone
3	281.36	20/17	1.1765	Diatismic minor third
4	365.83	21/17	1.2353	Septendecimal submajor third
5	446.36	22/17	1.2941	Septendecimal supermajor third
6	523.32	23/17	1.3529	Vicesimotertial acute fourth
7	597.00	24/17	1.4118	Small septendecimal tritone
8	667.67	25/17	1.4706	Vengeance subfifth
9	735.57	26/17	1.5294	Septendecimal superfifth
10	800.91	27/17	1.5882	Septendecimal quasi-tempered minor sixth
11	863.87	28/17	1.6471	Septendecimal submajor sixth
12	924.62	29/17	1.7059	Vicesimononal supermajor sixth
13	983.31	30/17	1.7647	Diatismic minor seventh
14	1040.08	31/17	1.8235	Untrigesimal submajor seventh
15	1095.04	32/17	1.8824	Septendecimal major seventh
16	1148.31	33/17	1.9412	Septendecimal ultramajor seventh
17	1200.00	2/1	2.0000	Perfect octave

Todo: add sound example, expand

Add audio examples to the table, and write some more page body text about this scale.

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Small modes	2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24
Larger modes	30 • 32 • 36 • 48 • 60 • 128
Families	/2: 2 • 4 • 8 • 16 • 32 • 128 /3: 3 • 6 • 9 • 12 • 15 • 18 • 21 • 24 /5: 5 • 10 • 15 • 20 • 25 • 30 • 35 • 60 • 80 /7: 7 • 14 • 21 • 28 • 35 • 56 /11: 11 • 22 • 33 /13: 13 • 26
Related	Harmonic series • Subharmonic series • Carlos harmonic scale • Ringer scale • Primodality