Thank you for working out all the details so carefully!
And here is the result, expression at its purest.
https://adage.com/creativity/work/monotune/45562------------------------------
Ed Sutton
ed440@me.com(980) 254-7413
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Original Message:
Sent: 05-11-2019 20:36
From: Roshan Kakiya
Subject: Joke: The Most Harmonious Tuning
1-Limit Just Intonation
Description
The most harmonious tuning.
The justest just intonation.
The purest pure intonation.
The tuning in which each note contains every other note.
Frequency Ratios
C |
1/1 |
C# |
1/1 |
D |
1/1 |
D# |
1/1 |
E |
1/1 |
F |
1/1 |
F# |
1/1 |
G |
1/1 |
G# |
1/1 |
A |
1/1 |
A# |
1/1 |
B |
1/1 |
C |
1/1 |
Cents
1200 × log2(1/1) = 0.00 cents.
C |
0.00 |
C# |
0.00 |
D |
0.00 |
D# |
0.00 |
E |
0.00 |
F |
0.00 |
F# |
0.00 |
G |
0.00 |
G# |
0.00 |
A |
0.00 |
A# |
0.00 |
B |
0.00 |
C |
0.00 |
Offsets in Cents from Pure Octave Equal Temperament
C |
0.00 |
C# |
−100.00 |
D |
−200.00 |
D# |
−300.00 |
E |
−400.00 |
F |
−500.00 |
F# |
−600.00 |
G |
−700.00 |
G# |
−800.00 |
A |
−900.00 |
A# |
−1000.00 |
B |
−1100.00 |
C |
−1200.00 |
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Roshan Kakiya
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