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Most time signatures consist of two numerals, one stacked above the other: The lower numeral indicates the note value that the signature is counting. This number is always a power of 2 (unless the time signature is irrational), usually 2, 4 or 8, but less often 16 is also used, usually in Baroque music. 2 corresponds to the half note (minim), 4 to the quarter note (crotchet), 8 to the eighth ...
This is a list of musical compositions or pieces of music that have unusual time signatures. "Unusual" is here defined to be any time signature other than simple time signatures with top numerals of 2, 3, or 4 and bottom numerals of 2, 4, or 8, and compound time signatures with top numerals of 6, 9, or 12 and bottom numerals 4, 8, or 16.
In music, a tuplet (also irrational rhythm or groupings, artificial division or groupings, abnormal divisions, irregular rhythm, gruppetto, extra-metric groupings, or, rarely, contrametric rhythm) is "any rhythm that involves dividing the beat into a different number of equal subdivisions from that usually permitted by the time-signature (e.g., triplets, duplets, etc.)" [1] This is indicated ...
Retrieved from "https://en.wikipedia.org/w/index.php?title=Odd_time_signatures&oldid=715272755"
The article says that only for compound time signatures, like 6/8, 9/8, and 12/8. Notice that in these cases the upper number is divisible by 3. Double sharp 06:26, 15 September 2023 (UTC) "The time signature is a notational device representing the meter, which is an auditory feature of the music." (my italics) ...
(2003) "She's My Rushmore" by Every Time I Die - alternates with 9/8 and 4/4. (2002) "Gravity Eyelids" by Porcupine Tree - the second half of the instrumental part starting at 5:12 is partially in 10/8 timing as well as a few other time signatures. (2005) "Music for a Nurse" by Oceansize (2003) "III Ways to Epica" by Kamelot
Searching within the wiki for "irrational meter" turns up a section in Time signature along with mentions in Tuplet and Polyrhythm, perhaps relevant. I know less than diddly about the prevalence of written signatures such as 9/12.
With regards to which time signatures are unusual, the Time signature article already mentions a number of time signatures (3/4, 4/4, 6/8 et al.) as 'most common', leading to the implication that other time sigs are unusual. Moreover, a number of time signatures is explicitly mentioned as being unusual afterwards, again without sourcing.