Sensi: Difference between revisions

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| | 1
| | 1
| style="text-align:right;" | 443.322
| style="text-align:right;" | 443.322
| | 9/7~13/10
| | 13/10~22/17~9/7
|-
|-
| | 2
| | 2
| style="text-align:right;" | 886.644
| style="text-align:right;" | 886.644
| | 5/3~42/25
| | 42/25~5/3
|-
|-
| | 3
| | 3
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| | 4
| | 4
| style="text-align:right;" | 573.288
| style="text-align:right;" | 573.288
| | 7/5~18/13
| | 7/5~32/23~25/18~18/13
|-
|-
| | 5
| | 5
| style="text-align:right;" | 1016.610
| style="text-align:right;" | 1016.610
| | 9/5
| | 9/5~70/39
|-
|-
| | 6
| | 6
| style="text-align:right;" | 259.932
| style="text-align:right;" | 259.932
| | 7/6~15/13
| | 7/6~22/19~15/13
|-
|-
| | 7
| | 7
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| | 8
| | 8
| style="text-align:right;" | 1146.576
| style="text-align:right;" | 1146.576
| | 54/28~35/18
| | 35/18~64/33~27/14
|-
|-
| | 9
| | 9
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| | 11
| | 11
| style="text-align:right;" | 76.542
| style="text-align:right;" | 76.542
| | 21/20~25/24
| | 21/20~22/21~25/24
|-
|-
| | 12
| | 12
| style="text-align:right;" | 519.864
| style="text-align:right;" | 519.864
| |  
| | 27/20
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|-
| | 13
| | 13

Revision as of 01:44, 5 December 2018

See Sensipent family for more information.

Interval chain

Generators Cents* Approximate ratios†
0 0.000 1/1
1 443.322 13/10~22/17~9/7
2 886.644 42/25~5/3
3 129.966 13/12~14/13~15/14
4 573.288 7/5~32/23~25/18~18/13
5 1016.610 9/5~70/39
6 259.932 7/6~22/19~15/13
7 703.253 3/2
8 1146.576 35/18~64/33~27/14
9 389.896 5/4
10 833.220 13/8
11 76.542 21/20~22/21~25/24
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
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

Sensi Visualizations

A Diagram of Sensi[5], [8], [11], and [19] with intervals named in relation to the L and s of Sensi[8]:

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".

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].pngmap_of_sensi[11]_correction2.png

A Diagram showing a layout for playing Sensi Temperament on an Isomorphic Keyboard:

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.

A Sensi[19] Guitar (one octave):

sensi[19]in46.jpg

SOMEONE PLEASE MAKE ONE OF THESE AND SEND IT TO DUSTIN SCHALLERT!

Music

Tumbledown Stew and Hypnocloudsmack 3 by Andrew Heathwaite