# Sensamagic

**Sensamagic** is the rank-3 temperament tempering out 245/243, the sensamagic comma. It has a canonical 11-limit extension adding 385/384 and 896/891 to the comma list.

The temperament was named after the corresponding comma, which was named by Gene Ward Smith in 2010. See 245/243 #Etymology.

See Sensamagic family #Sensamagic for technical data.

## Interval lattice

## Notation

Sensamagic can be notated the same as 2.3.7 just intonation since they share the same lattice structure. One way to do this is to take the conventional circle-of-fifths notation with an additional module of accidentals for the 64/63 comma. In this system, 7/4 is a minor seventh, 5/4 an augmented second, and 11/8 a diminished fifth.

Ratio | Nominal | Example |
---|---|---|

3/2 | Perfect 5th | C-G |

5/4 | Double-up augmented 2nd | C-^^D# |

7/4 | Down minor 7th | C-vBb |

11/8 | Down diminished 5th | C-vGb |

Alternatively, it can be notated the same as full prime-limit just intonation, with a distinct accidental module for each prime harmonic. That makes some intervals more intuitive, at the cost of hiding the structure of sensamagic tempering. For example, it is customary of the 5/4 to be a major third, and 7/4 to be a minor seventh. As a result, the fact that the 5/3 is a stack of two 9/7's is not revealed, and the related chords can be less convenient.

## Chords

Sensamagic enables essentially tempered chords of sensamagic, keenanismic, pentacircle, and undecimal sensamagic.

The sensamagic dominant chord is a dominant seventh chord useful for tonal harmony in this temperament.