In Pythagorean tuning, all pitches are generated from a series of justly tuned perfect fifths, each with a frequency ratio of 3 to 2.
22.
To calculate the frequency of a note in a scale given in terms of ratios, the frequency ratio is multiplied by the tonic frequency.
23.
In just intonation, a minor chord is often ( but not exclusively ) tuned in the frequency ratio 10 : 12 : 15 ( ).
24.
In Pythagorean tuning, the size of a seventeenth is defined using a stack of four justly tuned fifths ( frequency ratio 3 : 2 ):
25.
Letting " x " be the frequency ratio of the flattened fifth, it is desired that four fifths have a ratio of 5 : 1,
26.
Thus, in Pythagorean tuning, where sequences of frequency ratio 3 : 2 ) and octaves are used to produce the other intervals, a whole tone is
27.
Where f d / f n represents frequency ratio ( frequency due to dynamic force, f d, and natural frequency of the unit, f n ).
28.
In Pythagorean tuning, a major tone has a size of about 203.9 cents ( frequency ratio 9 : 8 ), thus a Pythagorean ditone is about 407.8 cents.
29.
It is used in Pythagorean tuning, together with the octave, as a yardstick to define, with respect to a given initial note, the frequency ratio of any other note.
30.
Many different but similar ratios are proposed for the frequency ratios of the tones of each row and performance practice, as of 1996, has not been investigated using electronic measurements.
