Norman,
Mathematically, an Equal Temperament can be defined as a musical temperament based on the division of an interval into semitones of equal size.
In Pure Octave Equal Temperament, the size of the Pure Octave is 1200 × log
2(2) = 1200.00 cents. The Pure Octave is divided into 12 equal semitones, which means that the size of each semitone is 1200.00 cents / 12 = 100.00 cents.
In Pure Twelth Equal Temperament, the size of the Pure Twelfth is 1200 × log
2(3) = 1901.96 cents. The Pure Twelfth is divided into 19 equal semitones, which means that the size of each semitone is 1901.96 cents / 19 = 100.10 cents.
In Pure Fifth Equal Temperament, the size of the Pure Fifth is 1200 × log
2(3 / 2) = 701.96 cents. The Pure Fifth is divided into 7 equal semitones, which means that the size of each semitone is 701.96 cents / 7 = 100.28 cents.
All three of these Equal Temperaments are different. Therefore, there is not one Equal Temperament. There are numerous different Equal Temperaments, all of which are part of the Equal Temperament tuning system.
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Roshan Kakiya
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Original Message:
Sent: 06-11-2021 13:37
From: Norman Brickman
Subject: Which Equal Temperaments and Unequal Temperaments are requested the most by your customers?
Roshan,
I only wish that I would have customers ask about historic temperaments. I have never been successful in generating such interest.
BTW, by definition of "equal temperament" there is only one equal temperament. It is mathematically defined. Regards. Norman
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Norman Brickman
Potomac Piano Service
Potomac, Maryland
potomacpiano@verizon.net
https://potomacpiano.com
(301) 983.9321
Original Message:
Sent: 06-09-2021 14:10
From: Roshan Kakiya
Subject: Which Equal Temperaments and Unequal Temperaments are requested the most by your customers?
There are many different Equal Temperaments, and there are many different Unequal Temperaments.
In your experience, which Equal Temperaments are requested the most by your customers?
In your experience, which Unequal Temperaments are requested the most by your customers?
What are the reasons your customers have given for their choices?
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Roshan Kakiya
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