Diatonic range

The diatonic range is a size range of the fifth interval defined by the bounds 4\7 and 3\5.

Stacked (octave-reduced) fifths (R5) within this range build scales with distinguishable

• "diatonic whole tones" (M2 := 2*R5 - P8),
• "diatonic semitones" (m2 := 3*P8 - 5*R5), and
• "chromatic semitones" (A1 := M2 - m2)

of a non-negative size. Some examples:

5th definition	Interval sizes (cents)				Comments
	R5	M2	m2	A1
4\7	686	171	171	0	lower limit
11\19	695	189	126	63	3:2 (L:s)
7\12	700	200	100	100	2:1 (L:s)
10\17	706	212	71	141	3:1 (L:s)
3\5	720	240	0	240	upper limit

See also

• 5L 2s
• Circle-of-fifths notation
• List of interesting fifths