55/49: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
ArrowHead294 (talk | contribs)
mNo edit summary
ArrowHead294 (talk | contribs)
mNo edit summary
 
Line 5: Line 5:
}}
}}


'''55/49''', the '''werckismic tone''', is 0.02{{c}} flat of the 200 cent tone of [[12edo]], and 441/440 (3.9¢) flat of the major whole tone, [[9/8]]. It is identified with the 200 cent tone by the [[spoob]] comma, which sets 6 instances of this interval to be equal to the octave. 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¢. It arises in [[11-limit]] scales as the interval from [[7/5]] to [[11/7]].
'''55/49''', the '''werckismic tone''', is 0.02{{cent}} flat of the 200 cent tone of [[12edo]], and 441/440 (3.9¢) flat of the major whole tone, [[9/8]]. It is identified with the 200 cent tone by the [[spoob]] comma, which sets 6 instances of this interval to be equal to the octave. 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{{c}}. It arises in [[11-limit]] scales as the interval from [[7/5]] to [[11/7]].


In [[Functional Just System]] and [[Helmholtz–Ellis notation]], this interval is represented by an augmented unison.  
In [[Functional Just System]] and [[Helmholtz–Ellis notation]], this interval is represented by an augmented unison.  

Latest revision as of 16:29, 15 January 2025

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 ¢ flat of the 200 cent tone of 12edo, and 441/440 (3.9¢) flat of the major whole tone, 9/8. It is identified with the 200 cent tone by the spoob comma, which sets 6 instances of this interval to be equal to the octave. 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 ¢. It arises in 11-limit scales as the interval from 7/5 to 11/7.

In Functional Just System and Helmholtz–Ellis notation, this interval is represented by an augmented unison.

See also