54/49: Difference between revisions

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'''54/49'''
{{Infobox Interval
|1 3 0 -2>
| Icon =
| Ratio = 54/49
| Monzo = 1 3 0 -2
| Cents = 168.21319
| Name = Zalzal's mujannab
| Color name = rr1, ruru augmented unison
| Sound = jid_54_49_pluck_adu_dr220.mp3
}}


168.2132 cents
168.2132 cents


[[File:jid_54_49_pluck_adu_dr220.mp3]] [[:File:jid_54_49_pluck_adu_dr220.mp3|sound sample]]
'''Zalzal's mujannab''', the interval of '''54/49''' introduced by [[Mansour Zalzal]], is between [[11/10]] and [[10/9]] in size, being 540/539 sharp of 11/10 and 245/243 flat of 10/9. It is the interval between [[7/6]] and [[9/7]]. Tempering out 540/539 equates it with 11/10 and leads to [[swetismic chords]]. Occurring often in JI scales, it is one of the ways 11-limit harmony gets introduced into [[7-limit]] scales.


Zalzal's mujannab, the interval of 54/49 introduced by Mansour Zalzal, is between 11/10 and 10/9 in size, being 540/539 sharp of [[11/10|11/10]] and 245/243 flat of [[10/9|10/9]]. It is the interval between [[7/6|7/6]] and [[9/7|9/7]]. Tempering out 540/539 equates it with 11/10 and leads to [[swetismic_chords|swetismic chords]]. Occurring often in JI scales, it is one of the ways 11-limit harmony gets introduced into 7-limit scales.
== See also ==
* [[49/27]] - its [[inverse interval]]
* [[Gallery of just intervals]]
 
[[Category:7-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Second]]
[[Category:Second]]

Revision as of 22:45, 31 October 2018

Interval information
Ratio 54/49
Factorization 2 × 33 × 7-2
Monzo [1 3 0 -2
Size in cents 168.2132¢
Name Zalzal's mujannab
Color name rr1, ruru augmented unison
FJS name [math]\displaystyle{ \text{A1}_{7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.3696
Weil norm (log2 max(n, d)) 11.5098
Wilson norm (sopfr(nd)) 25

[sound info]
Open this interval in xen-calc

168.2132 cents

Zalzal's mujannab, the interval of 54/49 introduced by Mansour Zalzal, is between 11/10 and 10/9 in size, being 540/539 sharp of 11/10 and 245/243 flat of 10/9. It is the interval between 7/6 and 9/7. Tempering out 540/539 equates it with 11/10 and leads to swetismic chords. Occurring often in JI scales, it is one of the ways 11-limit harmony gets introduced into 7-limit scales.

See also