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

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''Assume hemipyth[10] nominal names and intervals unless otherwise stated.''

The [[User:2^67-1/7L 11s (√12-equivalent)|7L 11s (√12-equivalent)]] scale, also '''greater pochhammeroid''' (see below), '''greater colianexoid''', '''greater ~~electra~~''' 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>''' and is the notation used in the [[User:2^67-1/7L 11s (√12-equivalent)#Scale tree|scale tree]].

The [[User:2^67-1/7L 11s (√12-equivalent)|7L 11s (√12-equivalent)]] scale, also '''greater pochhammeroid''' (see below), '''greater 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]].

The generator range is 597 to 615 cents (5\18<√12> to 2\7<√12>). The dark generator is obviously its √12-complement.

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.

~~Because this hemipyth is a perfect eighteenth-repeating scale, each tone has an √12 perfect eighteenth above it.~~

The equave can range from [[24/7]] to [[7/2]], including the pure-hemipyth √12 and 1/QPochhammer[1/2]. It is because of the latter constant that [[User:2^67-1|Cole]] proposes naming this scale '''greater pochhammeroid'''.

The equave can range from 24/7 to 7/2, including the pure-hemipyth √12 and 1/QPochhammer[1/2]. It is because of the latter constant that [[User:2^67-1|Cole]] proposes naming this scale '''greater pochhammeroid'''.

==Standing assumptions==

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 ''Assume hemipyth[10] nominal names and intervals unless otherwise stated.''
-The [[User:2^67-1/7L 11s (√12-equivalent)|7L 11s (√12-equivalent)]] scale, also '''greater pochhammeroid''' (see below), '''greater colianexoid''', '''greater electra''' 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>''' and is the notation used in the [[User:2^67-1/7L 11s (√12-equivalent)#Scale tree|scale tree]].
+The [[User:2^67-1/7L 11s (√12-equivalent)|7L 11s (√12-equivalent)]] scale, also '''greater pochhammeroid''' (see below), '''greater 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]].
-The generator range is 597 to 615 cents (5\18<√12> to 2\7<√12>). The dark generator is obviously its √12-complement.
+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.
-Because this hemipyth is a perfect eighteenth-repeating scale, each tone has an √12 perfect eighteenth above it.
+The equave can range from [[24/7]] to [[7/2]], including the pure-hemipyth √12 and 1/QPochhammer[1/2]. It is because of the latter constant that [[User:2^67-1|Cole]] proposes naming this scale '''greater pochhammeroid'''.
-The equave can range from 24/7 to 7/2, including the pure-hemipyth √12 and 1/QPochhammer[1/2]. It is because of the latter constant that [[User:2^67-1|Cole]] proposes naming this scale '''greater pochhammeroid'''.
 ==Standing assumptions==