Sensi: Difference between revisions
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'''Sensi''', 19 & 27, is a rank-2 temperament generated by a sharpened 9/7 such that two of them are equated to 5/3. It is most accurately extended to add prime 31 (by equating the generator with 31/24), but less accurately prime 13 is canonically added (by equating the generator with 13/10). | '''Sensi''', 19 & 27, is a rank-2 temperament generated by a sharpened 9/7 such that two of them are equated to 5/3. Distinctly from other sensamagic temperaments, 3/2 is also found at 7 generators, or equivalently the octave is found at 125/63. It is most accurately extended to add prime 31 (by equating the generator with 31/24), but less accurately prime 13 is canonically added (by equating the generator with 13/10). | ||
== Interval chain == | == Interval chain == | ||
Latest revision as of 07:01, 14 March 2026
| Sensi |
Sensi, 19 & 27, is a rank-2 temperament generated by a sharpened 9/7 such that two of them are equated to 5/3. Distinctly from other sensamagic temperaments, 3/2 is also found at 7 generators, or equivalently the octave is found at 125/63. It is most accurately extended to add prime 31 (by equating the generator with 31/24), but less accurately prime 13 is canonically added (by equating the generator with 13/10).
Interval chain
In the following table, odd harmonics and subharmonics 1–21 are in bold.
| # | Cents* | Approximate ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 443.4 | 9/7, 13/10 |
| 2 | 886.7 | 5/3, 42/25 |
| 3 | 130.1 | 13/12, 14/13, 15/14, 27/25 |
| 4 | 573.4 | 7/5, 18/13, 25/18 |
| 5 | 1016.8 | 9/5 |
| 6 | 260.1 | 7/6, 15/13 |
| 7 | 703.5 | 3/2 |
| 8 | 1146.9 | 27/14, 35/18 |
| 9 | 390.2 | 5/4 |
| 10 | 833.6 | 13/8, 21/13 |
| 11 | 76.9 | 21/20, 25/24 |
| 12 | 520.3 | 27/20 |
| 13 | 963.7 | 7/4 |
| 14 | 207.0 | 9/8 |
| 15 | 650.4 | 35/24 |
| 16 | 1093.7 | 15/8 |
| 17 | 337.1 | 39/32 |
| 18 | 780.4 | 25/16 |
| 19 | 23.8 | 49/48, 65/64, 81/80 |
| 20 | 467.2 | 21/16 |
* In 2.3.5.7.13 CWE tuning
| View • Talk • EditRegular temperaments | |
|---|---|
| Rank-2 | |
| Acot | Blackwood (1/5-octave) • Whitewood (1/7-octave) • Compton (1/12-octave) |
| Monocot | Meantone • Schismic • Leapday • Archy |
| Complexity 2 | Diaschismic (diploid monocot) • Pajara (diploid monocot) • Injera (diploid monocot) • Rastmatic (dicot) • Mohajira (dicot) • Intertridecimal (dicot) • Interseptimal (alpha-dicot) |
| Complexity 3 | Augmented (triploid) • Misty (triploid) • Slendric (tricot) • Porcupine (omega-tricot) |
| Complexity 4 | Diminished (tetraploid) • Tetracot (tetracot) • Buzzard (alpha-tetracot) • Squares (beta-tetracot) • Negri (omega-tetracot) |
| Complexity 5-6 | Magic (alpha-pentacot) • Amity (gamma-pentacot) • Kleismic (alpha-hexacot) • Miracle (hexacot) |
| Higher complexity | Orwell (alpha-heptacot) • Sensi (beta-heptacot) • Octacot (octacot) • Wurschmidt (beta-octacot) • Valentine (enneacot) • Ammonite (epsilon-enneacot) • Myna (beta-decacot) • Ennealimmal (enneaploid dicot) |
| Straddle-3 | A-Team (alter-tricot) • Machine (alter-monocot) |
| No-3 | Trismegistus (alpha-triseph) • Orgone (trimech) • Didacus (diseph) |
| No-octaves | Sensamagic (monogem) |
| Exotemperament | Dicot • Mavila • Father |
| Higher-rank | |
| Rank-3 | Hemifamity • Marvel • Parapyth |
