Harmonics 11–22: Difference between revisions
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CompactStar (talk | contribs) Created page with "{{Infobox ADO|steps=11}} '''11ado''' is the arithmetic equal division of the octave into nine parts of 1/9 each. As 9 is a small odd number, this ADO does not contain..." |
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{{Infobox | {{Infobox harmonics|11}} | ||
{{Harmonics intro|11}} As 11 is a small odd number, this scale does not contain a perfect fifth above the root, although it does contain a [[16/11]] subfifth and a [[17/11]] ultrafifth / inframinor sixth. | |||
== Intervals == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 18: | Line 19: | ||
|- | |- | ||
| 1 | | 1 | ||
| | | 150.63 | ||
| [[ | | [[12/11]] | ||
| 1. | | 1.0909 | ||
| small whole tone | | small whole tone | ||
| [[File:Jid_10_9_pluck_adu_dr220.mp3]] | | [[File:Jid_10_9_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 2 | | 2 | ||
| | | 289.21 | ||
| [[11 | | [[13/11]] | ||
| 1. | | 1.1818 | ||
| | | tridecimal minor third | ||
| [[File: | | [[File:Jid_13_11_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 3 | | 3 | ||
| | | 417.51 | ||
| [[ | | [[14/11]] | ||
| 1. | | 1.2727 | ||
| undecimal | | undecimal major third | ||
| [[File: | | [[File:Jid_14_11_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 4 | | 4 | ||
| | | 536.95 | ||
| [[ | | [[15/11]] | ||
| 1. | | 1.3636 | ||
| | | undecimal augmented fourth | ||
| [[File: | | [[File:Jid_15_11_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 5 | | 5 | ||
| | | 648.68 | ||
| [[ | | [[16/11]] | ||
| 1. | | 1.4545 | ||
| | | undecimal subfifth | ||
| [[File: | | [[File:Jid_16_11_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 6 | | 6 | ||
| | | 753.64 | ||
| [[ | | [[17/11]] | ||
| 1. | | 1.5455 | ||
| | | septendecimal subminor sixth | ||
| [[File: | | [[File:Jid_17_11_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 7 | | 7 | ||
| | | 852.59 | ||
| [[ | | [[18/11]] | ||
| 1. | | 1.6364 | ||
| | | undecimal neutral sixth | ||
| [[File: | | [[File:Jid_18_11_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 8 | | 8 | ||
| | | 946.20 | ||
| [[ | | [[19/11]] | ||
| 1. | | 1.7273 | ||
| | | undevicesimal semitwelfth | ||
| [[File: | | [[File:Jid_19_11_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 9 | | 9 | ||
| 1200. | | 1035.00 | ||
| [[20/11]] | |||
| 1.8182 | |||
| undecimal supraminor seventh | |||
| [[File:Jid_20_11_pluck_adu_dr220.mp3]] | |||
|- | |||
| 10 | |||
| 1119.46 | |||
| [[21/11]] | |||
| 1.9091 | |||
| undecimal major seventh | |||
| [[File:Jid_21_11_pluck_adu_dr220.mp3]] | |||
|- | |||
| 11 | |||
| 1200.00 | |||
| [[2/1]] | | [[2/1]] | ||
| 2. | | 2.000 | ||
| perfect octave | | perfect octave | ||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | | [[File:Jid_2_1_pluck_adu_dr220.mp3]] | ||
|} | |} | ||
{{Navbox harmonics}} | |||
Latest revision as of 00:06, 11 October 2026
| Prime factorization | 11 (prime) |
| Dual sharp fifth | 17/11 (753.637c) |
| Dual flat fifth | 16/11 (648.682c) |
The harmonic segment 11::22 (also harmonics 11–22) consists of harmonics 11 through 22 (11:12:…:22) and spans one octave above the root. Used as a scale, it is also called mode 11 of the harmonic series. The inverse consists of subharmonics 11–22. As 11 is a small odd number, this scale does not contain a perfect fifth above the root, although it does contain a 16/11 subfifth and a 17/11 ultrafifth / inframinor sixth.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 150.63 | 12/11 | 1.0909 | small whole tone | |
| 2 | 289.21 | 13/11 | 1.1818 | tridecimal minor third | |
| 3 | 417.51 | 14/11 | 1.2727 | undecimal major third | |
| 4 | 536.95 | 15/11 | 1.3636 | undecimal augmented fourth | |
| 5 | 648.68 | 16/11 | 1.4545 | undecimal subfifth | |
| 6 | 753.64 | 17/11 | 1.5455 | septendecimal subminor sixth | |
| 7 | 852.59 | 18/11 | 1.6364 | undecimal neutral sixth | |
| 8 | 946.20 | 19/11 | 1.7273 | undevicesimal semitwelfth | |
| 9 | 1035.00 | 20/11 | 1.8182 | undecimal supraminor seventh | |
| 10 | 1119.46 | 21/11 | 1.9091 | undecimal major seventh | |
| 11 | 1200.00 | 2/1 | 2.000 | perfect octave |
| View • Talk • EditOvertone scales | |
|---|---|
| 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 |