A-team: Difference between revisions

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'''A-Team''' is an [[oneirotonic]]-based temperament or harmonic framework, based on the oneirotonic [[MOS]] with period 1\1 and a generator chain with generator a subfourth between 13edo's 5\13 (461.5¢) and 18edo's 7\18 (466.7¢).

== Notation==

The notation used in this article is J Ultharian (LsLLsLsL) = JKLMNOPQJ, with reference pitch N = 261.6255653 Hz, unless specified otherwise. We denote raising and lowering by a chroma (L − s) by & "amp" and @ "at". (Mnemonics: & "and" means additional pitch. @ "at" rhymes with "flat".) Ultharian has been chosen as the default mode because we want to carry over the diatonic idea of sharpening the second-to-last degree to get the leading tone for minor keys and the sharpened "Vmaj", and we also have the "sharp V" for the oneiromajor tonality by default.

The chain of oneirofourths becomes: ... P@ K@ N@ Q L O J M P K N Q& L& O& ...

Thus the [[13edo]] gamut is as follows:

'''J/Q&''' J&/K@ '''K/L@''' '''L/K&''' L&/M@ '''M''' M&/N@ '''N/O@''' '''O/N&''' O&/P@ '''P''' '''Q''' Q&/J@ '''J'''

The [[18edo]] gamut is notated as follows:

'''J''' Q&/K@ J&/L@ '''K''' '''L''' K&/M@ L& '''M''' N@ M&/O@ '''N''' '''O''' P@ O& '''P''' '''Q''' P&/J@ Q@ '''J'''

== Tuning range ==

A-Team tunings (with generator between 5\13 and 7\18) have step ratios between 2/1 and 3/1. Hence A-Team tunings have [[5L 8s]] chromatic MOSes and [[13L 5s]] superchromatic MOSes.

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 '''A-Team''' is an [[oneirotonic]]-based temperament or harmonic framework, based on the oneirotonic [[MOS]] with period 1\1 and a generator chain with generator a subfourth between 13edo's 5\13 (461.5¢) and 18edo's 7\18 (466.7¢).
+== Notation==
+The notation used in this article is J Ultharian (LsLLsLsL) = JKLMNOPQJ, with reference pitch N = 261.6255653 Hz, unless specified otherwise. We denote raising and lowering by a chroma (L &minus; s) by & "amp" and @ "at". (Mnemonics: & "and" means additional pitch. @ "at" rhymes with "flat".) Ultharian has been chosen as the default mode because we want to carry over the diatonic idea of sharpening the second-to-last degree to get the leading tone for minor keys and the sharpened "Vmaj", and we also have the "sharp V" for the oneiromajor tonality by default.
+The chain of oneirofourths becomes: ... P@ K@ N@ Q L O J M P K N Q& L& O& ...
+Thus the [[13edo]] gamut is as follows:
+'''J/Q&''' J&/K@ '''K/L@''' '''L/K&''' L&/M@ '''M''' M&/N@ '''N/O@''' '''O/N&''' O&/P@ '''P''' '''Q''' Q&/J@ '''J'''
+The [[18edo]] gamut is notated as follows:
+'''J''' Q&/K@ J&/L@ '''K''' '''L''' K&/M@ L& '''M''' N@ M&/O@ '''N''' '''O''' P@ O& '''P''' '''Q''' P&/J@ Q@ '''J'''
 == Tuning range ==
 A-Team tunings (with generator between 5\13 and 7\18) have step ratios between 2/1 and 3/1. Hence A-Team tunings have [[5L 8s]] chromatic MOSes and [[13L 5s]] superchromatic MOSes.