Sensamagic: Difference between revisions
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* simply taking the octave as the period instead of the tritave, resulting in a 2.9/7.5/3 subgroup temperament known as "sentry" | * simply taking the octave as the period instead of the tritave, resulting in a 2.9/7.5/3 subgroup temperament known as "sentry" | ||
* equating the octave to a false octave found on the sensamagic generator chain, such as 125/63 (resulting in [[sensi]]) or 49/25 (resulting in an obscure porcupine extension called "hedgehog") | * equating the octave to a false octave found on the sensamagic generator chain, such as 125/63 (resulting in [[sensi]]) or 49/25 (resulting in an obscure porcupine extension called "hedgehog" that splits the octave into two 7/5~10/7 tritones) | ||
* adding the octave as an additional generator, resulting in rank-3 sensamagic | * adding the octave as an additional generator, resulting in rank-3 sensamagic | ||
Revision as of 12:14, 5 March 2026
Sensamagic, sometimes known in a tritave-equivalent context as Bohlen-Pierce-Stearns, is the temperament in the 3.5.7 subgroup equating a stack of two 9/7s with 5/3; this means that the comma 245/243 is tempered out. 9/7 is tuned sharp (about 440 cents) and 5/3 is flattened (about 880 cents). It functions as a tritave analog of meantone, relating the two simplest prime harmonics after the equave with a medium accuracy.
Sensamagic can be used as a temperament with octaves by one of several approaches:
- simply taking the octave as the period instead of the tritave, resulting in a 2.9/7.5/3 subgroup temperament known as "sentry"
- equating the octave to a false octave found on the sensamagic generator chain, such as 125/63 (resulting in sensi) or 49/25 (resulting in an obscure porcupine extension called "hedgehog" that splits the octave into two 7/5~10/7 tritones)
- adding the octave as an additional generator, resulting in rank-3 sensamagic
This page will focus on tritave and rank-3 sensamagic.
TODO: complete page
| View • Talk • EditRegular temperaments | |
|---|---|
| Rank-2 | |
| Acot | Blackwood (1/5-octave) • Whitewood (1/7-octave) • Compton (1/12-octave) |
| Monocot | Meantone • Schismic • Gentle-fifth temperaments • 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 |
