Alpharabian tuning: Difference between revisions
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The '''Alpharabian tuning''' is an [[11-limit]] version of [[just intonation]]- specifically the version that is limited to the 2.3.11 subgroup. Although the core of Alpharabian tuning consists of those intervals with ratios involving integers whose only prime factors are 2 and 11, Alpharabian tuning can also contain powers of | The '''Alpharabian tuning''' is an [[11-limit]] version of [[just intonation]]- specifically the version that is limited to the 2.3.11 subgroup. Although the core of Alpharabian tuning consists of those intervals with ratios involving integers whose only prime factors are 2 and 11, Alpharabian tuning can also contain powers of 3 in their ratios. That said, within Alpharabian tuning, there's a distinction between "Alpharabian" and "Betarabian" intervals, with "Alpharabian" intervals generally either outright belonging to the 2.11 core subgroup or being simpler and or nearer to 3-limit intervals than the nearby "Betarabian" intervals, which often differ from their Alpharabian counterparts by a [[243/242|rastma]]. There are other distinctions as well, but a proper descriptor for these other intervals has yet to be chosen. | ||
As a significant portion of this tuning system is currently being pioneered by [[User:Aura|Aura]], see [[User:Aura/Aura's Ideas on Tonality|Aura's Ideas on Tonality]] for more details. | As a significant portion of this tuning system is currently being pioneered by [[User:Aura|Aura]], see [[User:Aura/Aura's Ideas on Tonality|Aura's Ideas on Tonality]] for more details. | ||
Revision as of 14:45, 22 November 2020
The Alpharabian tuning is an 11-limit version of just intonation- specifically the version that is limited to the 2.3.11 subgroup. Although the core of Alpharabian tuning consists of those intervals with ratios involving integers whose only prime factors are 2 and 11, Alpharabian tuning can also contain powers of 3 in their ratios. That said, within Alpharabian tuning, there's a distinction between "Alpharabian" and "Betarabian" intervals, with "Alpharabian" intervals generally either outright belonging to the 2.11 core subgroup or being simpler and or nearer to 3-limit intervals than the nearby "Betarabian" intervals, which often differ from their Alpharabian counterparts by a rastma. There are other distinctions as well, but a proper descriptor for these other intervals has yet to be chosen.
As a significant portion of this tuning system is currently being pioneered by Aura, see Aura's Ideas on Tonality for more details.