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

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'''14L 22s <12/1>''', also '''pochhammeroid''' (see below), '''colianexoid''', '''greater f-enhar electric''' or '''greater f-enhar smitonic''' is a MOS scale. The notation "<12/1>" means the period of the MOS is 12/1, disambiguating it from octave-repeating [[14L 22s]]. The name of the period interval of this scale is called the '''oktokaidekatave'''~~, and the~~ . It is also equivalent to '''7L 11s <√12>'''. Its basic tuning is [[50ed12]] or 25ed√12. However, the √12-based form will be used for most of this article as it is far more practical and is the original form of the scale when it was discovered.

'''14L 22s <12/1>''', also '''pochhammeroid''' (see below), '''colianexoid''', '''hemipythic octadecatonic''', '''greater f-enhar electric''' or '''greater f-enhar smitonic''' is a MOS scale. The notation "<12/1>" means the period of the MOS is 12/1, disambiguating it from octave-repeating [[14L 22s]]. The name of the period interval of this scale is called the '''oktokaidekatave'''. It is also equivalent to '''7L 11s <√12>'''. Its basic tuning is [[50ed12]] or 25ed√12. However, the √12-based form will be used for most of this article as it is far more practical and is the original form of the scale when it was discovered.

The generator range is 597 to 615 cents (5\18<√12> to 2\7<√12>, or 5\36<12/1> to 1\7<12/1>) . The dark generator is its √12-complement. Because this is a perfect eighteenth-repeating scale, each tone has an √12 perfect eighteenth above it.

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The period 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 '''pochhammeroid'''.

==Standing assumptions==

== Standing assumptions ==

The notation used in this article is ''0'' Pacific-Hemipyth = 0123456789ABCDEFGH (see the section on modes below), unless specified otherwise. (Alternatively, one can use any octodecimal or niftimal/triacontaheximal digit set as the numbers, as long as it is clear which set one is using.) Octodecimal digitsets will be used for naming notes as it more practical. We denote raising and lowering by a chroma (L − s, about √(256/243) using the hemipyth interpretation) by # and ♭.

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''Assume 36-nominal notation for this section.''

=== Intervals ===

=== Generator chain ===

=== Modes ===

===Modes===

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| A1 || A6 || A11 || A16 || A3 || A8 || AA13 ||

|}

==Simple tunings==

==Scale tree==

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 {{Infobox MOS|Tuning = 14L 22s <12/1>}}
-'''14L 22s <12/1>''', also '''pochhammeroid''' (see below), '''colianexoid''', '''greater f-enhar electric''' or '''greater f-enhar smitonic''' is a MOS scale. The notation "<12/1>" means the period of the MOS is 12/1, disambiguating it from octave-repeating [[14L 22s]]. The name of the period interval of this scale is called the '''oktokaidekatave''', and the . It is also equivalent to '''7L 11s <√12>'''. Its basic tuning is [[50ed12]] or 25ed√12. However, the √12-based form will be used for most of this article as it is far more practical and is the original form of the scale when it was discovered.
+'''14L 22s <12/1>''', also '''pochhammeroid''' (see below), '''colianexoid''', '''hemipythic octadecatonic''', '''greater f-enhar electric''' or '''greater f-enhar smitonic''' is a MOS scale. The notation "<12/1>" means the period of the MOS is 12/1, disambiguating it from octave-repeating [[14L 22s]]. The name of the period interval of this scale is called the '''oktokaidekatave'''. It is also equivalent to '''7L 11s <√12>'''. Its basic tuning is [[50ed12]] or 25ed√12. However, the √12-based form will be used for most of this article as it is far more practical and is the original form of the scale when it was discovered.
 The generator range is 597 to 615 cents (5\18<√12> to 2\7<√12>, or 5\36<12/1> to 1\7<12/1>) . The dark generator is its √12-complement. Because this is a perfect eighteenth-repeating scale, each tone has an √12 perfect eighteenth above it.
@@ Line 11: / Line 11: @@
 The period 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 '''pochhammeroid'''.
-==Standing assumptions==
+== Standing assumptions ==
 The notation used in this article is ''0'' Pacific-Hemipyth = 0123456789ABCDEFGH (see the section on modes below), unless specified otherwise. (Alternatively, one can use any octodecimal or niftimal/triacontaheximal digit set as the numbers, as long as it is clear which set one is using.) Octodecimal digitsets will be used for naming notes as it more practical. We denote raising and lowering by a chroma (L − s, about √(256/243) using the hemipyth interpretation) by # and ♭.
@@ Line 18: / Line 17: @@
 ''Assume 36-nominal notation for this section.''
 {{TAMNAMS use}}
-{{MOS data}}
+=== Intervals ===
+{{MOS intervals}}
+=== Generator chain ===
+{{MOS genchain}}
+=== Modes ===
+{{MOS mode degrees}}
 ===Modes===
@@ Line 167: / Line 174: @@
 | A1 || A6 || A11 || A16 || A3 || A8 || AA13 ||
 |}
+==Simple tunings==
+{{MOS tunings}}
 ==Scale tree==