Ptolemy's Diatonic Hemiolon

SCL Detail

Degrees: 7 • Period: 1200.00 cents • Source: Murray

Diatonic - Claudius Ptolemy

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Ancient Greek Tuning System Author: Claudius Ptolemy Period: Ancient Greece (c. 100-170 CE) Genus: Diatonic Reference: Table 21, murray_text_02_greek.md The 'sesquialter' diatonic tuning using tones ranging from minimum (11/10) through minor (10/9) and major (9/8). Octave span: E to E Tetrachord structure: Two tetrachords with disjunctive tone B-A (9/8)

Playback

Select a tone, then click Begin. Use Arrow keys to step; Space stops. You can also use 1-0, qwertyuiop, asdfghjkl, zxcvbnm.

Overview (non-12°)

Degrees (now extended to 2 octaves)

#	Raw	Type	Ratio	Cents
2	12/11	ratio	12/11	151.00
3	11/10	ratio	11/10	316.00
4	10/9	ratio	10/9	498.00
5	9/8	ratio	9/8	702.00
6	12/11	ratio	12/11	853.00
7	11/10	ratio	11/10	1018.00
8	10/9	ratio	10/9	1200.00
8		2nd octave		1351.00
9		2nd octave		1516.00
10		2nd octave		1698.00
11		2nd octave		1902.00
12		2nd octave		2053.00
13		2nd octave		2218.00
14		2nd octave		2400.00