Sensi: Difference between revisions
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'''Sensi''' is a [[regular | '''Sensi''' is a [[regular temperament]] for the 2.3.5.7.13 subgroup. EDOs that support sensi include [[19edo]], [[27edo]], and [[46edo]]. | ||
See [[ | See [[Sensipent family #Sensi]] for more information. | ||
==Interval chain== | == Interval chain == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | Generators | ! style="text-align:right" | Generators | ||
! | Cents* | ! | Cents<sup>*</sup> | ||
! | < | ! | Approximate ratios<sup>†</sup> | ||
|- | |- | ||
| | 0 | | | 0 | ||
| Line 99: | Line 99: | ||
| | 21/16 | | | 21/16 | ||
|} | |} | ||
< | : <sup>*</sup> in 2.3.5.7.13 POTE tuning | ||
: <sup>†</sup> 2.3.5.7.13 ratio interpretations | |||
==Harmony in sensi== | == Harmony in sensi == | ||
The most common consonant triad in sensi is the 5:6:13 triad, which spans 3 generators. Sensi[8] has five 5:6:13 triads, four 7:9:13 triads, three 5:6:7:9 tetrads and one 5:6:7:9:13 pentad. | The most common consonant triad in sensi is the 5:6:13 triad, which spans 3 generators. Sensi[8] has five 5:6:13 triads, four 7:9:13 triads, three 5:6:7:9 tetrads and one 5:6:7:9:13 pentad. | ||
==Sensi Visualizations== | == Sensi Visualizations == | ||
===A Diagram of Sensi[5], [8], [11], and [19] with intervals named in relation to the L and s of Sensi[8]:=== | === A Diagram of Sensi[5], [8], [11], and [19] with intervals named in relation to the L and s of Sensi[8]: === | ||
[[File:steps_of_sensi.png|alt=steps_of_sensi.png|steps_of_sensi.png]] | [[File:steps_of_sensi.png|alt=steps_of_sensi.png|steps_of_sensi.png]] | ||
Note that X, M and Z are not standard, but d and A are; they are short for "diminished" and "augmented". | 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[8] and [11]:=== | === A Diagram relating the Sensi generator chain (horizontal axis) to the steps within the octave (vertical axis) for Sensi[8] and [11]: === | ||
[[File:map_of_sensi-8-.png|alt=map_of_sensi[8].png|map_of_sensi[8].png]][[File:map_of_sensi-11-_correction2.png|alt=map_of_sensi[11]_correction2.png|map_of_sensi[11]_correction2.png]] | [[File:map_of_sensi-8-.png|alt=map_of_sensi[8].png|map_of_sensi[8].png]][[File:map_of_sensi-11-_correction2.png|alt=map_of_sensi[11]_correction2.png|map_of_sensi[11]_correction2.png]] | ||
===A Diagram showing a layout for playing Sensi Temperament on an Isomorphic Keyboard:=== | === A Diagram showing a layout for playing Sensi Temperament on an Isomorphic Keyboard: === | ||
[[File:sensi_isomorphic_layout.png|alt=sensi_isomorphic_layout.png|sensi_isomorphic_layout.png]] | [[File:sensi_isomorphic_layout.png|alt=sensi_isomorphic_layout.png|sensi_isomorphic_layout.png]] | ||
The darkest hexagons represent the same note (eg. C), but offset by octaves. The next-darkest hexagons show the notes of Sensi[5]. 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[8]. The Large step of Sensi[8] is represented by a move straight down, so this pattern is a little more zig-zaggy than the pattern for Sensi[5]. Add the white hexes and you have Sensi[11]. The small step of Sensi[11] (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. | The darkest hexagons represent the same note (eg. C), but offset by octaves. The next-darkest hexagons show the notes of Sensi[5]. 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[8]. The Large step of Sensi[8] is represented by a move straight down, so this pattern is a little more zig-zaggy than the pattern for Sensi[5]. Add the white hexes and you have Sensi[11]. The small step of Sensi[11] (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[19] Guitar (one octave):=== | === A Sensi[19] Guitar (one octave): === | ||
[[File:sensi-19-in46.jpg|alt=sensi[19]in46.jpg|sensi[19]in46.jpg]] | [[File:sensi-19-in46.jpg|alt=sensi[19]in46.jpg|sensi[19]in46.jpg]] | ||
SOMEONE PLEASE MAKE ONE OF THESE AND SEND IT TO DUSTIN SCHALLERT! | SOMEONE PLEASE MAKE ONE OF THESE AND SEND IT TO DUSTIN SCHALLERT! | ||
=Music= | == Music == | ||
[[ | * [[Technical Notes for Newbeams #Tumbledown Stew]] by [[Andrew Heathwaite]] | ||
* [[Technical Notes for Newbeams #Hypnocloudsmack 3]] by [[Andrew Heathwaite]] | |||
[[Category:soft_redirect]] | [[Category:soft_redirect]] | ||
Revision as of 17:43, 18 May 2020
Sensi is a regular temperament for the 2.3.5.7.13 subgroup. EDOs that support sensi include 19edo, 27edo, and 46edo.
See Sensipent family #Sensi for more information.
Interval chain
| Generators | Cents* | Approximate ratios† |
|---|---|---|
| 0 | 0.000 | 1/1 |
| 1 | 443.322 | 13/10~9/7 |
| 2 | 886.644 | 42/25~5/3 |
| 3 | 129.966 | 13/12~14/13~15/14 |
| 4 | 573.288 | 7/5~25/18~18/13 |
| 5 | 1016.610 | 9/5~70/39 |
| 6 | 259.932 | 7/6~15/13 |
| 7 | 703.253 | 3/2 |
| 8 | 1146.576 | 35/18~27/14 |
| 9 | 389.896 | 5/4 |
| 10 | 833.220 | 13/8~21/13 |
| 11 | 76.542 | 21/20~25/24 |
| 12 | 519.864 | 27/20 |
| 13 | 963.185 | 7/4 |
| 14 | 206.507 | 9/8 |
| 15 | 649.829 | 35/24 (close to 16/11) |
| 16 | 1093.151 | 15/8 |
| 17 | 336.473 | 39/32 (close to 17/14) |
| 18 | 779.795 | 25/16 |
| 19 | 23.117 | 49/48~65/64~81/80 |
| 20 | 466.439 | 21/16 |
- * in 2.3.5.7.13 POTE tuning
- † 2.3.5.7.13 ratio interpretations
Harmony in sensi
The most common consonant triad in sensi is the 5:6:13 triad, which spans 3 generators. Sensi[8] has five 5:6:13 triads, four 7:9:13 triads, three 5:6:7:9 tetrads and one 5:6:7:9:13 pentad.
Sensi Visualizations
A Diagram of Sensi[5], [8], [11], and [19] with intervals named in relation to the L and s of Sensi[8]:
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[8] and [11]:
![map_of_sensi[8].png](/w/File:Map_of_sensi-8-.png)
![map_of_sensi[11]_correction2.png](/w/File:Map_of_sensi-11-_correction2.png)
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[5]. 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[8]. The Large step of Sensi[8] is represented by a move straight down, so this pattern is a little more zig-zaggy than the pattern for Sensi[5]. Add the white hexes and you have Sensi[11]. The small step of Sensi[11] (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[19] Guitar (one octave):
![sensi[19]in46.jpg](/w/File:Sensi-19-in46.jpg)
SOMEONE PLEASE MAKE ONE OF THESE AND SEND IT TO DUSTIN SCHALLERT!