11/10: Difference between revisions
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{{Wikipedia|Neutral interval#Second}} | {{Wikipedia|Neutral interval#Second}} | ||
'''11/10''', the '''large undecimal neutral second''' or '''undecimal submajor second''', is an interval favored by Ptolemy. Coincidentally, the interval between the most common tuning frequency (A440) and the second most common AC electrical frequency (50 Hz) is exactly 44/5, or three octaves above an 11/10. | '''11/10''', the '''large undecimal neutral second''' or '''undecimal submajor second''', is an interval favored by Ptolemy. Coincidentally, the interval between the most common tuning frequency (A440) and the second most common AC electrical frequency (50 Hz) is exactly 44/5, or three octaves above an 11/10. It is approximated extremely precisely by [[80edo]] and its multiples, with a chain of 80 11/10's failing to close at the octave by a mere third of a cent, close enough that you could theoretically tune an instrument to 80edo by ear using it if you had the patience. | ||
== Temperaments == | |||
11/10 is treated as a comma in edos 1, 2, 3, 5, and some very low accuracy temperaments such as [[Very_low_accuracy_temperaments#Antietam|Antietam]]. If it is used as a generator instead, it produces [[porcupine]], although it is slightly sharper than the optimal tuning for porcupine and does not fit the 80edo patent val mapping. | |||
== See also == | == See also == | ||
Revision as of 08:57, 1 October 2023
| Interval information |
undecimal submajor second
reduced
[sound info]
11/10, the large undecimal neutral second or undecimal submajor second, is an interval favored by Ptolemy. Coincidentally, the interval between the most common tuning frequency (A440) and the second most common AC electrical frequency (50 Hz) is exactly 44/5, or three octaves above an 11/10. It is approximated extremely precisely by 80edo and its multiples, with a chain of 80 11/10's failing to close at the octave by a mere third of a cent, close enough that you could theoretically tune an instrument to 80edo by ear using it if you had the patience.
Temperaments
11/10 is treated as a comma in edos 1, 2, 3, 5, and some very low accuracy temperaments such as Antietam. If it is used as a generator instead, it produces porcupine, although it is slightly sharper than the optimal tuning for porcupine and does not fit the 80edo patent val mapping.