Hemimage comma

Interval information

Ratio	10976/10935
Factorization	25 × 3-7 × 5-1 × 73
Monzo	[5 -7 -1 3⟩
Size in cents	6.478999¢
Name	hemimage
FJS name	[math]\displaystyle{ \text{dd3}^{7,7,7}_{5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	26.8387
Weil height (log2 max(n, d))	26.8441
Wilson height (sopfr(nd))	57
Comma size	small
S-expression	S282 × S29
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The hemimage, 10976/10935, is a 7-limit comma measuring about 6.5 cents. It marks the difference between a classic diatonic semitone (16/15) and a stack of three septimal major thirds (9/7) octave reduced, or between a classic whole tone (10/9) and a stack of three septimal third tones (28/27), therefore interesting to those who work extensively with third tones. It is also the difference between 245/243 and 225/224, the two simplest commas to define the 7-limit magic temperament. Tempering it out leads to the hemimage family of temperaments.

See also

• Hemimage family
• Hemimage temperaments
• Small comma