49/36: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 49/36
| Monzo = -2 -2 0 2
| Cents = 533.74181
| Name = Arabic lute acute fourth
| Name = Arabic lute acute fourth
| Color name = zz5, zozo 5th
| Color name = zz5, zozo 5th
| FJS name = d5<sup>49</sup>
| Sound = jid_49_36_pluck_adu_dr220.mp3
| Sound = jid_49_36_pluck_adu_dr220.mp3
}}
}}
'''49/36''', the '''Arabic lute acute fourth''', is composed of two subminor thirds of [[7/6]], and is the interval between [[9/7]] and [[7/4]]. It is [[540/539]] (~4{{cent}}) flat of [[15/11]]. Tempering out 540/539 leads to 11-odd-limit [[swetismic chords]] such as the tempering of <span style="white-space:nowrap">1-9/7-3/2-7/4</span>.


'''49/36''', the '''Arabic lute acute fourth''', is composed of two subminor thirds of [[7/6]], and is the interval between [[9/7]] and [[7/4]]. It is 540/539 (~4 cents) flat of [[15/11]]. Tempering out [[540/539]] leads to 15-limit [[swetismic chords]] such as the tempering of 1-9/7-3/2-7/4.
== Approximation ==
 
This interval is especially near the 4th step of [[9edo]].
This interval is especially near the 4th step of [[9edo]].


[[Category:7-limit]]
[[Category:Interval ratio]]
[[Category:Fourth]]
[[Category:Fourth]]
[[Category:Listen]]
[[Category:Todo:add color name]]
[[Category:Todo:expand]]
[[Category:Superfourth]]
[[Category:Superfourth]]

Latest revision as of 16:01, 25 October 2022

Interval information
Ratio 49/36
Factorization 2-2 × 3-2 × 72
Monzo [-2 -2 0 2⟩
Size in cents 533.7418¢
Name Arabic lute acute fourth
Color name zz5, zozo 5th
FJS name [math]\displaystyle{ \text{d5}^{7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.7846
Weil height (log2 max(n, d)) 11.2294
Wilson height (sopfr(nd)) 24

[sound info]
Open this interval in xen-calc

49/36, the Arabic lute acute fourth, is composed of two subminor thirds of 7/6, and is the interval between 9/7 and 7/4. It is 540/539 (~4 ¢) flat of 15/11. Tempering out 540/539 leads to 11-odd-limit swetismic chords such as the tempering of 1-9/7-3/2-7/4.

Approximation

This interval is especially near the 4th step of 9edo.

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