Major third (diatonic interval category): Difference between revisions

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Being an abstract mos degree, and not a specific interval, the diatonic major third does not have a fixed tuning, but instead has a range of ways it can be tuned, based on the tuning of the generator used in making the scale.
Being an abstract mos degree, and not a specific interval, the diatonic major third does not have a fixed tuning, but instead has a range of ways it can be tuned, based on the tuning of the generator used in making the scale.


The tuning range of the diatonic major third ranges from 342.8 cents to 480 cents. The generator for a given tuning in cents, n, for the diatonic major third can be found by (''n'' + 2400)/4. For example, the third 384c gives us (384 + 2400)/4 = 2784/4 = 696{{c}}, corresponding to 50edo.
The tuning range of the diatonic major third ranges from 342.8 to 480{{c}}. The generator for a given tuning in cents, ''n'', for the diatonic major third can be found by {{sfrac|''n'' + 2400|4}}. For example, the third 384{{c}} gives us {{nowrap|{{sfrac|384 + 2400|4}} {{=}} {{sfrac|2784|4}} {{=}} 696{{c}}}}, corresponding to 50edo.


Several example tunings are provided below:
Several example tunings are provided below: