Sensamagic

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")
• 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