531441/262144: Difference between revisions

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Created page with "{{Infobox Interval | Name = hexatone }} The '''hexatone''', 531441/262144, is the interval found by stacking six (Pythagorean whole) tones (9/8). The Medieval music t..."
 
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The '''hexatone''', 531441/262144, is the interval found by stacking six (Pythagorean whole) [[tone]]s ([[9/8]]). The Medieval music theorist Jacobus of Liège described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[pentatone]], and noted that the hexatone was a rough discord, not equivalent to a pure octave.<ref>http://www.medieval.org/emfaq/harmony/pyth4.html</ref>
The '''hexatone''', 531441/262144, is the interval found by stacking six (Pythagorean whole) [[tone]]s ([[9/8]]). The Medieval music theorist Jacobus of Liège described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[pentatone]], and noted that the hexatone was a rough discord, not equivalent to a pure octave;<ref>http://www.medieval.org/emfaq/harmony/pyth4.html</ref> it is wider than the octave by one [[Pythagorean comma]].

Revision as of 05:38, 24 June 2024

Interval information
Ratio 531441/262144
Factorization 2-18 × 312
Monzo [-18 12
Size in cents 1223.46¢
Name hexatone
FJS name [math]\displaystyle{ \text{A7} }[/math]
Tenney norm (log2 nd) 37.0196
Weil norm (log2 max(n, d)) 38.0391
Wilson norm (sopfr(nd)) 72
Open this interval in xen-calc

The hexatone, 531441/262144, is the interval found by stacking six (Pythagorean whole) tones (9/8). The Medieval music theorist Jacobus of Liège described it along with the ditone, tritone, tetratone, and pentatone, and noted that the hexatone was a rough discord, not equivalent to a pure octave;[1] it is wider than the octave by one Pythagorean comma.