11/10: Difference between revisions

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'''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.

'''11/10''', the '''large undecimal neutral second''' or '''undecimal submajor second''', is an interval favored by Ptolemy.

== Approximation ==

11/10 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.

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.

== Trivia ==

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.

== See also ==

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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&nbsp;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.
+'''11/10''', the '''large undecimal neutral second''' or '''undecimal submajor second''', is an interval favored by Ptolemy.
+== Approximation ==
+/10 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 ==
-/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.
+/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.
+== Trivia ==
+Coincidentally, the interval between the most common tuning frequency (A440) and the second most common AC electrical frequency (50&nbsp;Hz) is exactly 44/5, or three octaves above an 11/10.
 == See also ==