Ptolemy's Diatonic Ditoniaion

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 19, murray_text_02_greek.md The 'ditonic' tuning - identical to Eratosthenes' Diatonic and the classic Pythagorean tuning. Named for its major third (ditone) consisting of two equal tones (9/8). Octave span: E to E Tetrachord structure: Two tetrachords with disjunctive tone B-A (9/8)
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Overview (non-12°)
Degrees (now extended to 2 octaves)
# Raw Type Ratio Cents
2 256/243 ratio 256/243 90.00
3 9/8 ratio 9/8 294.00
4 9/8 ratio 9/8 498.00
5 9/8 ratio 9/8 702.00
6 256/243 ratio 256/243 792.00
7 9/8 ratio 9/8 996.00
8 9/8 ratio 9/8 1200.00
8 2nd octave 1290.00
9 2nd octave 1494.00
10 2nd octave 1698.00
11 2nd octave 1902.00
12 2nd octave 1992.00
13 2nd octave 2196.00
14 2nd octave 2400.00