55/49: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 55/49
| Ratio = 55/49
| Monzo = 0 0 1 -2 1
| Monzo = 0 0 1 -2 1
| Cents = 199.97984
| Cents = 199.97984
| Name = werckismic tone
| Name = werckismic tone
| Color name =  
| Color name = 1orry1, loruruyo unison
| FJS name =  
| FJS name = A1<sup>5,11</sup><sub>7,7</sub>
| Sound = jid_55_49_pluck_adu_dr220.mp3
| Sound = jid_55_49_pluck_adu_dr220.mp3
}}
}}


'''55/49''', the werckismic tone, is 0.02 cents flat of the 200 cent tone of [[12edo|12et]], and 441/440 (3.9 cents) flat of the major whole tone, [[9/8]]. This is related to the fact that two schismas are very nearly 441/440, differing only by the comma {{Monzo|27 -14 -3 2 -1}} of 0.02 cents. It arises in [[11-limit]] scales as the interval from [[7/5]] to [[11/7]].
'''55/49''', the '''werckismic tone''', is 0.02 cents flat of the 200 cent tone of [[12edo|12et]], and 441/440 (3.9 cents) flat of the major whole tone, [[9/8]]. This is related to the fact that two schismas ([[32805/32768]] each) are very nearly [[441/440]], differing only by the comma {{Monzo|27 -14 -3 2 -1}} of 0.02 cents. It arises in [[11-limit]] scales as the interval from [[7/5]] to [[11/7]].


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

Revision as of 04:53, 21 December 2021

Interval information
Ratio 55/49
Factorization 5 × 7-2 × 11
Monzo [0 0 1 -2 1
Size in cents 199.9798¢
Name werckismic tone
Color name 1orry1, loruruyo unison
FJS name [math]\displaystyle{ \text{A1}^{5,11}_{7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 11.3961
Weil height (log2 max(n, d)) 11.5627
Wilson height (sopfr(nd)) 30

[sound info]
Open this interval in xen-calc

55/49, the werckismic tone, is 0.02 cents flat of the 200 cent tone of 12et, and 441/440 (3.9 cents) flat of the major whole tone, 9/8. This is related to the fact that two schismas (32805/32768 each) are very nearly 441/440, differing only by the comma [27 -14 -3 2 -1 of 0.02 cents. It arises in 11-limit scales as the interval from 7/5 to 11/7.