3/2: Difference between revisions

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Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
introduced infobox interval; added some links
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
fixed monzo
Line 2: Line 2:
| Icon = [[File:perfect_fifth.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>
| Icon = [[File:perfect_fifth.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>
| Ratio = 3/2
| Ratio = 3/2
| Monzo = 0 1
| Monzo = -1 1
| Cents = 701.95500  
| Cents = 701.95500  
| Name = just perfect fifth
| Name = just perfect fifth

Revision as of 11:20, 22 October 2018

Interval information
Ratio 3/2
Factorization 2-1 × 3
Monzo [-1 1⟩
Size in cents 701.955¢
Name just perfect fifth
FJS name [math]\displaystyle{ \text{P5} }[/math]
Special properties superparticular,
reduced,
reduced harmonic
Tenney height (log2 nd) 2.58496
Weil height (log2 max(n, d)) 3.16993
Wilson height (sopfr(nd)) 5

[sound info]
Open this interval in xen-calc

3/2 is the frequency ratio of the just perfect fifth. What tunes it well, is one of variants of 12edo or 17edo (such as 24edo, 34edo and 36edo). Other edos tune it well too (5, 7, 29, 41, 53, 200). But not all edos are like this. 35edo is great for 2, 5, 7, 9, 11 and 17 but fails on 3.

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