This is a very harmonious tuning. Here is a breakdown of its intervals from Scala (a program for creating musical scales):
C (Ratio: 1/1) = Unison, perfect prime.
C# (Ratio: 18/17) = Arabic lute index finger.
D (Ratio: 9/8) = Major whole tone.
D# (Ratio: 19/16) = 19th harmonic.
E (Ratio: 24/19) = Smaller undevicesimal major third.
F (Ratio: 4/3) = Perfect fourth.
F# (Ratio: 17/12) = 2nd septendecimal tritone.
G (Ratio: 3/2) = Perfect fifth.
G# (Ratio: 27/17) = Septendecimal minor sixth.
A (Ratio: 27/16) = Pythagorean major sixth.
A# (Ratio: 16/9) = Pythagorean minor seventh.
B (Ratio: 17/9) = Septendecimal major seventh.
C (Ratio: 2/1) = Octave.
Further Breakdown of Intervals
Unison and Octave
1/1 and 2/1.
3-Limit Just Intonation (Pythagorean Tuning)
3/2, 4/3, 9/8, 16/9 and 27/16.
Source:
https://en.wikipedia.org/wiki/Pythagorean_tuning#Method17-Limit Just Intonation
17/9, 17/12 and 18/17.
Source:
http://xenharmonic.wikispaces.com/17-limit27/17 because 3
3 / 17 = 27/17.
19-Limit Just Intonation
19/16 and 24/19.
Source:
http://xenharmonic.wikispaces.com/19-limit------------------------------
Roshan Kakiya
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Original Message:
Sent: 08-13-2018 04:28
From: Roshan Kakiya
Subject: Roshan Kakiya's Practical Just Intonation (Alternative Tritone)
Roshan Kakiya's Practical Just Intonation (Alternative Tritone)
Unison (C, Ratio: 1/1) = 0.00 cents
Minor Second (C#, Ratio: 18/17) = 98.95 cents
Major Second (D, Ratio: 9/8) = 203.91 cents
Minor Third (D#, Ratio: 19/16) = 297.51 cents
Major Third (E, Ratio: 24/19) = 404.44 cents
Perfect Fourth (F, Ratio: 4/3) = 498.04 cents
Tritone (F#, Ratio: 17/12) = 603.00 cents
Perfect Fifth (G, Ratio: 3/2) = 701.96 cents
Minor Sixth (G#, Ratio: 27/17) = 800.91 cents
Major Sixth (A, Ratio: 27/16) = 905.87 cents
Minor Seventh (A#, Ratio: 16/9) = 996.09 cents
Major Seventh (B, Ratio: 17/9) = 1101.05 cents
Octave (C, Ratio: 2/1) = 1200.00 cents
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Roshan Kakiya
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