Sunblind

Fuchsia

Experiments with a 22-note unequal temperament scale.

A tetrahedral number is the sum of a series of triangular numbers in sequence order.

The sum of the first 22 triangular numbers is 2024.

The current Gregorian Calendar year is 2024; the first time since 1771 the year was a tetrahedral number.

About the scale and tuning:
The values between each of the first 23 tetrahedral numbers determine the 22-note tetrahedral scale.

The 23rd tetrahedral number is the point at which the octave repeats.

The first 23 tetrahedral numbers are:
1, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364, 455, 560, 680, 816, 969, 1140, 1330, 1540, 1771, 2024, 2300.

This numerical series is then converted into cents and truncated to a single 1200-cent octave while retaining their ratios between each other.

After conversion, the scale becomes:
A(Root)
A(+13)
A(+26)
A(+43)
Bb(-35)
Bb(-9)
Bb(+22)
B(-43)
B(-4) - M2
B(+39)
C(-13)
C(+39)
C#(-4) - M3
D(-43)
D(+22)
Eb(-9)
E(-35)
E(+43)
F(+26)
F#(+13)
G(+4) - m7
Ab(0) - M7
A(Octave)

17 notes to reach the 5th;
and a perfect equal-tempered major 7th!

The major 2nd, major 3rd, and minor 7th;
all within 4/100th of an equal-tempered semitone!

Fun stuff!

If you wish to experiment with this tuning, I have made it available for export from Sevish’s Scale Workshop:
https://sevish.com/scaleworkshop/?n=T...

To nerd out on Tetrahedral Numbers:
https://en.wikipedia.org/wiki/Tetrahe...

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Composed and Produced by Shawn Michael
© 2024 Ambient Esoterica

#microtonal  #drone  #steinberg  #cubase  #nativeinstruments  #kontakt  #lofispace  #raum  #flair  #deelay #maserati  #ozone  #waves  #2024  

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