49/44: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 49/44
| Monzo = -2 0 0 2 -1
| Cents = 186.33387
| Name = mothwellsmic major second
| Name = mothwellsmic major second
| Color name = 1uzz3, luzozo 3rd
| Color name = 1uzz3, luzozo 3rd
| FJS name = m3<sup>49</sup><sub>11</sub>
| Sound = jid_49_44_pluck_adu_dr220.mp3
| Sound = jid_49_44_pluck_adu_dr220.mp3
}}
}}
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== Terminology ==
== Terminology ==
It could also be called ''werckismic major second'' if viewed as [[fudging]] from [[10/9]] instead. But that name more appropriately refers to [[55/49]]. ''Undecimal minor whole tone'' is attested in [https://www.huygens-fokker.org/docs/intervals.html Scala].  
It could also be called ''werckismic major second'' if viewed as [[fudging]] from [[10/9]] instead. But that name more appropriately refers to [[55/49]]. ''Undecimal minor whole tone'' is attested in [https://www.huygens-fokker.org/docs/intervals.html Scala].  
 
== Approximation ==
{{Interval edo approximation|49/44}}
== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:11-limit]]
[[Category:Second]]
[[Category:Second]]
[[Category:Whole tone]]
[[Category:Whole tone]]
[[Category:Mothwellsmic]]
[[Category:Mothwellsmic]]
[[Category:Pages with internal sound examples]]

Latest revision as of 13:03, 3 November 2025

Interval information
Ratio 49/44
Factorization 2-2 × 72 × 11-1
Monzo [-2 0 0 2 -1
Size in cents 186.3339¢
Name mothwellsmic major second
Color name 1uzz3, luzozo 3rd
FJS name [math]\displaystyle{ \text{m3}^{7,7}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.0741
Weil norm (log2 max(n, d)) 11.2294
Wilson norm (sopfr(nd)) 29

[sound info]
Open this interval in xen-calc

49/44, the mothwellsmic major second, is 99/98 flat of 9/8. It arises in 11-limit JI scales as the interval between 8/7 and 14/11, or between 11/7 and 7/4.

Terminology

It could also be called werckismic major second if viewed as fudging from 10/9 instead. But that name more appropriately refers to 55/49. Undecimal minor whole tone is attested in Scala.

Approximation

Edo approximations for 49/44 (186.33 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
6 1\6 200.00 +13.67 +6.83
7 1\7 171.43 -14.91 -8.69
13 2\13 184.62 -1.72 -1.86
19 3\19 189.47 +3.14 +4.97
26 4\26 184.62 -1.72 -3.72
32 5\32 187.50 +1.17 +3.11
38 6\38 189.47 +3.14 +9.94
39 6\39 184.62 -1.72 -5.59
45 7\45 186.67 +0.33 +1.25
51 8\51 188.24 +1.90 +8.08
52 8\52 184.62 -1.72 -7.45
58 9\58 186.21 -0.13 -0.61
64 10\64 187.50 +1.17 +6.22
65 10\65 184.62 -1.72 -9.31
71 11\71 185.92 -0.42 -2.48
77 12\77 187.01 +0.68 +4.36

See also