14L 22s (12/1-equivalent): Difference between revisions

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''Assume hemipyth[10] nominal names and intervals unless otherwise stated. This article is meant to apply MMTM's theory on this scale, but it is attempted to be explained better here.''
''Assume hemipyth[10] nominal names and intervals unless otherwise stated. This article is meant to apply MMTM's theory on this scale, but it is attempted to be explained better here.''


The [[User:2^67-1/7L 11s (√12-equivalent)|7L 11s (√12-equivalent)]] scale, also '''pochhammeroid''' (see below), '''colianexoid''', '''greater f-enhar electric''' or '''greater f-enhar smitonic''' is a MOS scale. The notation "<√12>" means the period of the MOS is √12, disambiguating it from octave-repeating [[7L 11s]]. The name of this period interval is called the '''oktokaidekatave'''. It is also equivalent to '''14L 22s <12/1>''' and is the notation used in the [[User:2^67-1/7L 11s (√12-equivalent)#Scale tree|scale tree]]. Its basic tuning is 25ed√12 or [[50ed12]].
{{Infobox MOS|Tuning=14L 22s<12/1>}}
 
The [[User:2^67-1/7L 11s (√12-equivalent)|7L 11s (√12-equivalent)]] scale, also '''pochhammeroid''' (see below), '''colianexoid''', '''greater f-enhar electric''' or '''greater f-enhar smitonic''' is a MOS scale. The notation "<√12>" means the period of the MOS is √12, disambiguating it from octave-repeating [[7L 11s]]. The name of this period interval is called the '''oktokaidekatave'''. It is also equivalent to '''14L 22s <12/1>''' and is the notation used in the [[User:2^67-1/7L 11s (√12-equivalent)#Scale tree|scale tree]] and the MOS infobox on the right. Its basic tuning is 25ed√12 or [[50ed12]]. However, the √12-based formulation will be used for most of this article.


The generator range is 597 to 615 cents (5\18<√12> to 2\7<√12>). The dark generator is obviously its √12-complement. Because this is a perfect eighteenth-repeating scale, each tone has an √12 perfect eighteenth above it.
The generator range is 597 to 615 cents (5\18<√12> to 2\7<√12>). The dark generator is obviously its √12-complement. Because this is a perfect eighteenth-repeating scale, each tone has an √12 perfect eighteenth above it.