Pythagorean tuning
Pythagorean intervals

Pythagorean tuning

Section Title: Pythagorean intervals
Table Section Text: None

Number of semitones	Generic names	Specific names

Quality and number	Other naming conventions	Pythagorean tuning	5-limit tuning	1/4-comma meantone

Full	Short

0	comma	Pythagorean comma (524288:531441)	diesis (128:125)

0	diminished second	d2	(531441:524288)

1	minor second	m2	semitone, half tone, half step	diatonic semitone, minor semitone	limma (256:243)

1	augmented unison	A1	chromatic semitone, major semitone	apotome (2187:2048)

2	diminished third	d3	tone, whole tone, whole step

2	major second	M2	sesquioctavum (9:8)

3	minor third	m3	semiditone (32:27)	sesquiquintum (6:5)

4	major third	M3	ditone (81:64)	sesquiquartum (5:4)

5	perfect fourth	P4	diatessaron	sesquitertium (4:3)

6	diminished fifth	d5	tritone

6	augmented fourth	A4

7	perfect fifth	P5	diapente	sesquialterum (3:2)

12	(perfect) octave	P8	diapason	duplex (2:1)

Sentence(s)

The Pythagorean comma's size (524288:531441) is the reciprocal of the Pythagorean diminished second's size (531441:524288).

final_sentence: The Pythagorean comma's size (524288:531441) is the reciprocal of the Pythagorean diminished second's size (531441:524288).