Sensi is a regular temperament for the 184.108.40.206.13 subgroup which is generated by an extremely sharp major third of about 443 cents which represents both 9/7 and 13/10. It is so named because the generator is a "semisixth": two generators make a major sixth which approximates 5/3, which cannot occur in 12edo. Equal temperaments that support sensi include 19edo, 27edo, and 46edo.
- 1 Interval chain
- 2 Introduction
- 3 Sensi Visualizations
- 3.1 A Diagram of Sensi, , , and  with intervals named in relation to the L and s of Sensi:
- 3.2 A Diagram relating the Sensi generator chain (horizontal axis) to the steps within the octave (vertical axis) for Sensi and :
- 3.3 A Diagram showing a layout for playing Sensi Temperament on an Isomorphic Keyboard:
- 3.4 A Sensi Guitar (one octave):
- 4 Music
|15||649.829||35/24 (close to 16/11)|
|17||336.473||39/32 (close to 17/14)|
- * in 220.127.116.11.13 POTE tuning
- † 18.104.22.168.13 ratio interpretations
The most common consonant triad in sensi is the 6:10:13 triad, which spans 3 generators. Sensi has five 6:10:13 triads, four 7:9:13 triads, three 5:6:7:9 tetrads and one 5:6:7:9:13 pentad. Having many diminished triads and consonant chords without roots (fundamentals), it is similar to the 12edo diminished scale in some ways. Sensi is interesting mainly because it gives new 13-limit interpretations to fairly familiar (in the sense of extended meantone-like) intervals.
Melodically, sensi sounds fairly familiar because many intervals are either 5-limit or have familiar categorical interpretations, being represented in the meantone tuning 19edo. For example, the small step of about 130 cents categorizes pretty well as a large semitone (except at places in the scale where two of them make a flat subminor third); the large step is a small whole tone representing 10/9.
A Diagram of Sensi, , , and  with intervals named in relation to the L and s of Sensi:
Note that X, M and Z are not standard, but d and A are; they are short for "diminished" and "augmented".
A Diagram relating the Sensi generator chain (horizontal axis) to the steps within the octave (vertical axis) for Sensi and :
A Diagram showing a layout for playing Sensi Temperament on an Isomorphic Keyboard:
The darkest hexagons represent the same note (eg. C), but offset by octaves. The next-darkest hexagons show the notes of Sensi. Imagine stepping from hex to hex as you move across the keyboard from left to right, landing only on the darkest and next-darkest hexes. The light red hexagons show additional notes needed to play Sensi. The Large step of Sensi is represented by a move straight down, so this pattern is a little more zig-zaggy than the pattern for Sensi. Add the white hexes and you have Sensi. The small step of Sensi (indicated in the diagram as "c" for chroma), is represented by a move straight down and down-left. This pattern actually involves moving backward in the horizontal direction, and is therefore more zig-zaggy.
A Sensi Guitar (one octave):
SOMEONE PLEASE MAKE ONE OF THESE AND SEND IT TO DUSTIN SCHALLERT!