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 Re: Understanding Chromatic Tuner Readings
Author: Luuk ★2017
Date:   2018-10-22 16:31

In just intonation (see https://en.wikipedia.org/wiki/Just_intonation) the frequency of a major third is 1.25 times the root frequency, that of the minor third is 1.2 times the root frequency. Thus:
root : major third = 1 : 1.25
root : minor third = 1 : 1.2

In equal temperament this is (see https://en.wikipedia.org/wiki/Equal_temperament
root : major third = 1 : 1.259921
root : minor third = 1 : 1.189207

Please note that just intonation thirds are beat free, due to their 'clean' ratios. An equal tempered major third appears about 1% too high (+13.69 cents), and a minor third about 1% too low (-15.64 cents) to be beat free.

-13.69 and +15.64 cents are exactly the locations of the arrows on your tuner, so they can be used to locate just intonation thirds as was explained by Burt and JohnP.

In parallel, the equal tempered minor sixth will be 13.69 cents too low and the major sixth will be 15.64 cents too high. The same arrows but swapped ...

Regards,

Luuk
Philips Symphonic Band
The Netherlands
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 Topics Author  Date
 Understanding Chromatic Tuner Readings  new
Dan Shusta 2018-10-20 04:44 
 Re: Understanding Chromatic Tuner Readings  new
Burt 2018-10-20 17:26 
 Re: Understanding Chromatic Tuner Readings  new
Arnoldstang 2018-10-20 18:22 
 Re: Understanding Chromatic Tuner Readings  new
Burt 2018-10-20 23:39 
 Re: Understanding Chromatic Tuner Readings  new
Caroline Smale 2018-10-21 01:26 
 Re: Understanding Chromatic Tuner Readings  new
Dan Shusta 2018-10-21 02:39 
 Re: Understanding Chromatic Tuner Readings  new
Arnoldstang 2018-10-21 07:18 
 Re: Understanding Chromatic Tuner Readings  new
JohnP 2018-10-21 12:56 
 Re: Understanding Chromatic Tuner Readings  new
Chris P 2018-10-21 16:47 
 Re: Understanding Chromatic Tuner Readings  new
Dan Shusta 2018-10-22 00:18 
 Re: Understanding Chromatic Tuner Readings  new
JohnP 2018-10-22 11:54 
 Re: Understanding Chromatic Tuner Readings  new
Luuk 2018-10-22 16:31 
 Re: Understanding Chromatic Tuner Readings  new
Dibbs 2018-10-22 19:18 
 Re: Understanding Chromatic Tuner Readings  new
gatto 2018-10-22 19:42 
 Re: Understanding Chromatic Tuner Readings  new
gatto 2018-10-23 00:40 
 Re: Understanding Chromatic Tuner Readings  new
Dan Shusta 2018-10-23 01:49 
 Re: Understanding Chromatic Tuner Readings  new
Dibbs 2018-10-24 16:02 
 Re: Understanding Chromatic Tuner Readings  new
gatto 2018-10-24 17:44 
 Re: Understanding Chromatic Tuner Readings  new
Dan Shusta 2018-10-24 22:01 
 Re: Understanding Chromatic Tuner Readings  new
Mojo 2018-10-25 17:13 
 Re: Understanding Chromatic Tuner Readings  new
gatto 2018-10-25 17:52 
 Re: Understanding Chromatic Tuner Readings  new
Mojo 2018-10-26 16:46 
 Re: Understanding Chromatic Tuner Readings  new
Burt 2018-10-26 01:27 
 Re: Understanding Chromatic Tuner Readings  new
Arnoldstang 2018-10-27 17:54 


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