Semiditonus

$\{2\; \backslash over\; \{1\; \backslash over\; 1:1\}\; +\; \{1\; \backslash over\; 3:2\}\}\; =\; \{2\; \backslash over\; 1:1\; +\; 2:3\}\; =\; \{2\; \backslash over\; 5:3\}\; =\; 6:5\; \backslash \; .$

$\{3:2\; \backslash over\; 5:4\}\; =\; \{3\; \backslash cdot\; 4\; \backslash over\; 5\; \backslash cdot\; 2\}\; =\; \{3\; \backslash cdot\; 2\; \backslash over\; 5\}\; =\; 6:5\; \backslash \; .$

$\{2:1\; \backslash over\; 5:3\}\; =\; \{2\; \backslash cdot\; 3\; \backslash over\; 5\; \backslash cdot\; 1\}\; =\; 6:5\; \backslash \; .$

$\{1\; \backslash over\; 1\}\; +\; \{1\; \backslash over\; 3\}\; +\; \{1\; \backslash over\; 6\}\; +\; \{1\; \backslash over\; 10\}\; +\; \{1\; \backslash over\; 15\}\; =\; \{5\; \backslash over\; 3\}\; .$

External links

• Pythagorean tuning (Contemporary text in English.)
• Johannes Tinctoris Liber de arte contrapuncti, Liber secundus (The text is in Latin.)

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