49/36: Difference between revisions

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'''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-limit [[swetismic chords]] such as the tempering of <span style="white-space:nowrap">[[28:36:42:49|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{{cent}}) flat of [[15/11]]. Tempering out 540/539 leads to 11-limit [[swetismic chords]], such as the tempering of <span style="white-space:nowrap">[[28:36:42:49|1–9/7–3/2–7/4]]</span>.


== Approximation ==
== Approximation ==

Revision as of 18:19, 14 March 2026

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 norm (log2 nd) 10.7846
Weil norm (log2 max(n, d)) 11.2294
Wilson norm (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-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.