Harmonics 10–20: Difference between revisions
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CompactStar (talk | contribs) Created page with "{{Infobox ADO|steps=10}} '''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..." |
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{{Infobox | {{Infobox harmonics|10}} | ||
{{Harmonics intro|10}} Unlike its half [[Harmonics 5–10|harmonics 5–10]], this scale is actually quite effective, having a minor and supermajor triad on the root. | |||
== Intervals == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 33: | Line 35: | ||
| 3 | | 3 | ||
| 454.21 | | 454.21 | ||
| [[13/10]] | |||
| 1.3000 | | 1.3000 | ||
| tridecimal semisixth | | tridecimal semisixth | ||
| Line 40: | Line 43: | ||
| 582.51 | | 582.51 | ||
| [[7/5]] | | [[7/5]] | ||
| 1. | | 1.4000 | ||
| narrow tritone | | narrow tritone | ||
| [[File:Jid_7_5_pluck_adu_dr220.mp3]] | | [[File:Jid_7_5_pluck_adu_dr220.mp3]] | ||
| Line 48: | Line 51: | ||
| [[3/2]] | | [[3/2]] | ||
| 1.50000 | | 1.50000 | ||
| just perfect fifth | |||
| [[File:Jid_3_2_pluck_adu_dr220.mp3]] | | [[File:Jid_3_2_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| Line 56: | Line 60: | ||
| just minor sixth | | just minor sixth | ||
| [[File:Jid_8_5_pluck_adu_dr220.mp3]] | | [[File:Jid_8_5_pluck_adu_dr220.mp3]] | ||
|- | |||
| 7 | |||
| 918.64 | |||
| [[17/10]] | |||
| 1.7000 | |||
| septendecimal major sixth | |||
| [[File:Jid_17_10_pluck_adu_dr220.mp3]] | |||
|- | |- | ||
| 8 | | 8 | ||
| Line 63: | Line 74: | ||
| just minor seventh | | just minor seventh | ||
| [[File:Jid_9_5_pluck_adu_dr220.mp3]] | | [[File:Jid_9_5_pluck_adu_dr220.mp3]] | ||
|- | |||
| 9 | |||
| 1111.20 | |||
| [[19/10]] | |||
| 1.9000 | |||
| undevicesimal diminished octave | |||
| [[File:Jid_19_10_pluck_adu_dr220.mp3]] | |||
|- | |- | ||
| 1 | | 1 | ||
| Line 72: | Line 90: | ||
|} | |} | ||
[[ | == Scales == | ||
{{Idiosyncratic terms|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him}} | |||
* 10:12:15:16:18:20 Cyberspace | |||
* 10:12:15:17:18:20 Underpass | |||
{{Navbox harmonics}} | |||
Latest revision as of 00:05, 11 October 2026
| Prime factorization | 2 × 5 |
| Fifth | 15/10 (701.955c) |
The harmonic segment 10::20 (also harmonics 10–20) consists of harmonics 10 through 20 (10:11:…:20) and spans one octave above the root. Used as a scale, it is also called mode 10 of the harmonic series. Unlike its half harmonics 5–10, this scale is actually quite effective, having a minor and supermajor triad on the root.
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 | 1.4000 | 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 |
Scales
|
This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.
Terms: Most of these names were coined, and are solely used, by Budjarn Lambeth - however he was only the first to name many of these scales, others have probably already used them before him |
- 10:12:15:16:18:20 Cyberspace
- 10:12:15:17:18:20 Underpass
| 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 |