Iceface tuning: Difference between revisions

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'''Ice-face tuning''' is a method of performing quarter ~~tones~~ on a standard piano or harp by tuning the black notes or accidentals 50 cents higher than normal. The result is an uneven 12-tone scale that consists of the formula: LsLsMLsLsLM where the L consists of 150 cents, the M of 100 cents, and the s of 50 cents. The scale may be referred to as Ice-face[12] and consists of three sizes of tones. It can be notated as:

'''Ice-face tuning''' is a method of performing [[quarter tone]]s on a standard [[:Category:Piano|piano]] or harp by tuning the black notes or accidentals 50 [[cents]] higher than normal.

The result is an uneven [[:Category:12-tone scales|12-tone scale]] that consists of the formula: LsLsMLsLsLM where the L consists of 150 cents, the M of 100 cents, and the s of 50 cents. It is a subset of [[24edo]].

The scale may be referred to as Ice-face[12] and consists of three sizes of tones. It can be notated as:

C Dd D Ed E F Gd G Ad A Bd B C.

The idea of Ice-face came from Hidekazu Wakabayashi in a dream he had. Wakabayashi claimed that he saw a woman playing a piano that was presumably tuned in the same way that Ice-face[12] is tuned.

The idea of Ice-face came from [[Hidekazu Wakabayashi]] in a dream he had. Wakabayashi claimed that he saw a woman playing a piano that was presumably tuned in the same way that Ice-face[12] is tuned.

"Iced" is a way to refer to a neutral interval to describe the quality it has. Unlike "neutral", iced sounds much less ambiguous and gives the impression that it has a distinct quality rather than just sticking it between major and minor as neutral intervals sound like neither major or minor but in fact sound unique.

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The scale can be thought of as [[Mohajira]][7] superimposed over a diatonic major scale. >Take for example, C major C D E F G A B C, and combine it with the Mohajira[7] mode "Iced Major" C D Ed F G Ad Bd C. This gives a scale of C D Ed E F G Ad A Bd B C, a 10-element subset of Iceface[12] as described above.

The scale can be thought of as [[Mohajira]][7] superimposed over a [[diatonic scale|diatonic major scale]]. >Take for example, C major C D E F G A B C, and combine it with the Mohajira[7] mode "Iced Major" C D Ed F G Ad Bd C. This gives a scale of C D Ed E F G Ad A Bd B C, a 10-element subset of Iceface[12] as described above.

Iceface[12] contains 2 separate Mohajira[7] pitch class sets, one "Iced Major" mode starting on C (C D Ed F G Ad Bd C) and one on Ad (Ad Bd C Dd Ed F G Ad).

Iceface is related to the Arabic Maqam system, including 9 popular Jins, allowing the creation of multiple Maqamat, including Rast on C and Bayati on A. Those Jins are Ajam on C and G, Ajam Murassa on F, Nahawand on D and A, Rast on C and G, Bayati on D and A, Kurd on E and B, Lami on B, Sikah on Ed and Bd, and Musta’ar on Ad.

Iceface is related to the Arabic [[Maqam]] system, including 9 popular Jins, allowing the creation of multiple Maqamat, including Rast on C and Bayati on A. Those Jins are Ajam on C and G, Ajam Murassa on F, Nahawand on D and A, Rast on C and G, Bayati on D and A, Kurd on E and B, Lami on B, Sikah on Ed and Bd, and Musta’ar on Ad.

==Generalization==

A way to generalize Iceface to [[EDO]] systems besides 24edo would be starting with the linear diatonic scale of the given temperament for the white keys, and for the black keys, using the note a parachromatic quartertone (usually representing [[33/32]]) beneath the next highest white key, or in other words, black keys should be a white key flattened by half of a pythagorean chromatic semitone. In 31edo, this would be:

A way to generalize Iceface to [[EDO]] systems besides 24edo would be starting with the linear diatonic scale of the given temperament for the white keys, and for the black keys, using the note a [[parachromatic]] quartertone (usually representing [[33/32]]) beneath the next highest white key, or in other words, black keys should be a white key flattened by half of a pythagorean chromatic semitone. In [[31edo]], this would be:

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-'''Ice-face tuning''' is a method of performing quarter tones on a standard piano or harp by tuning the black notes or accidentals 50 cents higher than normal. The result is an uneven 12-tone scale that consists of the formula: LsLsMLsLsLM where the L consists of 150 cents, the M of 100 cents, and the s of 50 cents. The scale may be referred to as Ice-face[12] and consists of three sizes of tones. It can be notated as:
+'''Ice-face tuning''' is a method of performing [[quarter tone]]s on a standard [[:Category:Piano|piano]] or harp by tuning the black notes or accidentals 50 [[cents]] higher than normal.
+The result is an uneven [[:Category:12-tone scales|12-tone scale]] that consists of the formula: LsLsMLsLsLM where the L consists of 150 cents, the M of 100 cents, and the s of 50 cents. It is a subset of [[24edo]].
+The scale may be referred to as Ice-face[12] and consists of three sizes of tones. It can be notated as:
 C Dd D Ed E F Gd G Ad A Bd B C.
-The idea of Ice-face came from Hidekazu Wakabayashi in a dream he had. Wakabayashi claimed that he saw a woman playing a piano that was presumably tuned in the same way that Ice-face[12] is tuned.
+The idea of Ice-face came from [[Hidekazu Wakabayashi]] in a dream he had. Wakabayashi claimed that he saw a woman playing a piano that was presumably tuned in the same way that Ice-face[12] is tuned.
 "Iced" is a way to refer to a neutral interval to describe the quality it has. Unlike "neutral", iced sounds much less ambiguous and gives the impression that it has a distinct quality rather than just sticking it between major and minor as neutral intervals sound like neither major or minor but in fact sound unique.
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-The scale can be thought of as [[Mohajira]][7] superimposed over a diatonic major scale. >Take for example, C major C D E F G A B C, and combine it with the Mohajira[7] mode "Iced Major" C D Ed F G Ad Bd C. This gives a scale of C D Ed E F G Ad A Bd B C, a 10-element subset of Iceface[12] as described above.
+The scale can be thought of as [[Mohajira]][7] superimposed over a [[diatonic scale|diatonic major scale]]. >Take for example, C major C D E F G A B C, and combine it with the Mohajira[7] mode "Iced Major" C D Ed F G Ad Bd C. This gives a scale of C D Ed E F G Ad A Bd B C, a 10-element subset of Iceface[12] as described above.
 Iceface[12] contains 2 separate Mohajira[7] pitch class sets, one "Iced Major" mode starting on C (C D Ed F G Ad Bd C) and one on Ad (Ad Bd C Dd Ed F G Ad).
-Iceface is related to the Arabic Maqam system, including 9 popular Jins, allowing the creation of multiple Maqamat, including Rast on C and Bayati on A. Those Jins are Ajam on C and G, Ajam Murassa on F, Nahawand on D and A, Rast on C and G, Bayati on D and A, Kurd on E and B, Lami on B, Sikah on Ed and Bd, and Musta’ar on Ad.
+Iceface is related to the Arabic [[Maqam]] system, including 9 popular Jins, allowing the creation of multiple Maqamat, including Rast on C and Bayati on A. Those Jins are Ajam on C and G, Ajam Murassa on F, Nahawand on D and A, Rast on C and G, Bayati on D and A, Kurd on E and B, Lami on B, Sikah on Ed and Bd, and Musta’ar on Ad.
 ==Generalization==
-A way to generalize Iceface to [[EDO]] systems besides 24edo would be starting with the linear diatonic scale of the given temperament for the white keys, and for the black keys, using the note a parachromatic quartertone (usually representing [[33/32]]) beneath the next highest white key, or in other words, black keys should be a white key flattened by half of a pythagorean chromatic semitone. In 31edo, this would be:
+A way to generalize Iceface to [[EDO]] systems besides 24edo would be starting with the linear diatonic scale of the given temperament for the white keys, and for the black keys, using the note a [[parachromatic]] quartertone (usually representing [[33/32]]) beneath the next highest white key, or in other words, black keys should be a white key flattened by half of a pythagorean chromatic semitone. In [[31edo]], this would be:
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