User:Aura/Aura's Diatonic Scales: Difference between revisions
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My preferred version of this scale differs from Ptolemy's Intense Diatonic Scale only by having 27/16 as the ratio between the Tonic and the Submediant. Therefore, it consists of notes related to the Tonic by the following ratios: | My preferred version of this scale differs from Ptolemy's Intense Diatonic Scale only by having 27/16 as the ratio between the Tonic and the Submediant. Therefore, it consists of notes related to the Tonic by the following ratios: | ||
*1/1 | * 1/1 | ||
*9/8 | * 9/8 | ||
*5/4 | * 5/4 | ||
*4/3 | * 4/3 | ||
*3/2 | * 3/2 | ||
*27/16 | * 27/16 | ||
*15/8 | * 15/8 | ||
*2/1 | * 2/1 | ||
As for the other modes of this scale, I give them the following names: | As for the other modes of this scale, I give them the following names: | ||
*Ionic Dorian | * Ionic Dorian | ||
*Ionic Phrygian | * Ionic Phrygian | ||
*Ionic Lydian | * Ionic Lydian | ||
*Ionic Mixolydian | * Ionic Mixolydian | ||
*Ionic Aeolian | * Ionic Aeolian | ||
*Ionic Locrian | * Ionic Locrian | ||
=== Dorian === | === Dorian === | ||
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Unlike the version that is present in 12edo- and perhaps even many other Just versions of this scale, my preferred version of this scale is not symmetrical, as having it be symmetrical would result in a less-than-ideal tuning for the interval between the Mediant and the Contramediant- instead, it is the first of two diatonic scales in this set that uses 256/243 as the interval between two of its notes. This scale consists of notes related to the Tonic by the following ratios: | Unlike the version that is present in 12edo- and perhaps even many other Just versions of this scale, my preferred version of this scale is not symmetrical, as having it be symmetrical would result in a less-than-ideal tuning for the interval between the Mediant and the Contramediant- instead, it is the first of two diatonic scales in this set that uses 256/243 as the interval between two of its notes. This scale consists of notes related to the Tonic by the following ratios: | ||
*1/1 | * 1/1 | ||
* 9/8 | |||
*9/8 | * 77/64 | ||
* 4/3 | |||
*77/64 | * 3/2 | ||
*4/3 | * 27/16 | ||
*3/2 | * 16/9 | ||
*27/16 | * 2/1 | ||
*16/9 | |||
*2/1 | |||
As for the other modes of this scale, I give them the following names: | As for the other modes of this scale, I give them the following names: | ||
*Doric Phrygian | * Doric Phrygian | ||
*Doric Lydian | * Doric Lydian | ||
*Doric Mixolydian | * Doric Mixolydian | ||
*Doric Aeolian | * Doric Aeolian | ||
*Doric Locrian | * Doric Locrian | ||
*Doric Ionian | * Doric Ionian | ||
=== Phrygian === | === Phrygian === | ||
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Unlike the version that is present in 12edo- and likely even many other Just versions of this scale, my preferred version actually differs from the inverse of the Ionian scale. A circle progression in this scale requires not only a Suspended-4 chord on the Contramediant, but also both a Suspended-Sharp-4 chord on the Reverse Lead, and, a Half-Diminished chord with added Minor 9th on the Dominant. This scale consists of notes related to the Tonic by the following ratios: | Unlike the version that is present in 12edo- and likely even many other Just versions of this scale, my preferred version actually differs from the inverse of the Ionian scale. A circle progression in this scale requires not only a Suspended-4 chord on the Contramediant, but also both a Suspended-Sharp-4 chord on the Reverse Lead, and, a Half-Diminished chord with added Minor 9th on the Dominant. This scale consists of notes related to the Tonic by the following ratios: | ||
*1/1 | * 1/1 | ||
*16/15 | * 16/15 | ||
*77/64 | * 77/64 | ||
*4/3 | * 4/3 | ||
*3/2 | * 3/2 | ||
*8/5 | * 8/5 | ||
*16/9 | * 16/9 | ||
*2/1 | * 2/1 | ||
As for the other modes of this scale, I give them the following names: | As for the other modes of this scale, I give them the following names: | ||
*Phrygic Lydian | * Phrygic Lydian | ||
*Phrygic Mixolydian | * Phrygic Mixolydian | ||
*Phrygic Aeolian | * Phrygic Aeolian | ||
*Phrygic Locrian | * Phrygic Locrian | ||
*Phrygic Ionian | * Phrygic Ionian | ||
*Phrygic Dorian | * Phrygic Dorian | ||
=== Lydian === | === Lydian === | ||
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This scale is the one most closely associated with Ptolemy's Intense Diatonic Scale; in fact, Ptolemy's Intense Diatonic scale occurs as "Lydic Ionian"- the fifth mode of this scale. If you use the Sycophant Antitonic harmony, you are forced to follow it up with the Lead harmony if you want to maintain this tonality. Likewise, using the full Supertonic harmony is generally ill-advised unless you swiftly follow it up with the Tonic- otherwise, you need to omit the third of this chord if you want to maintain this tonality. This scale consists of notes related to the Tonic by the following ratios: | This scale is the one most closely associated with Ptolemy's Intense Diatonic Scale; in fact, Ptolemy's Intense Diatonic scale occurs as "Lydic Ionian"- the fifth mode of this scale. If you use the Sycophant Antitonic harmony, you are forced to follow it up with the Lead harmony if you want to maintain this tonality. Likewise, using the full Supertonic harmony is generally ill-advised unless you swiftly follow it up with the Tonic- otherwise, you need to omit the third of this chord if you want to maintain this tonality. This scale consists of notes related to the Tonic by the following ratios: | ||
*1/1 | * 1/1 | ||
*9/8 | * 9/8 | ||
*5/4 | * 5/4 | ||
*45/32 | * 45/32 | ||
*3/2 | * 3/2 | ||
*27/16 | * 27/16 | ||
*15/8 | * 15/8 | ||
*2/1 | * 2/1 | ||
The other modes of this scale are as follows: | The other modes of this scale are as follows: | ||
*Lydic Mixolydian | * Lydic Mixolydian | ||
*Lydic Aeolian | * Lydic Aeolian | ||
*Lydic Locrian (only ever distinct from Locrian proper if the Keenanisma is not tempered out) | * Lydic Locrian (only ever distinct from Locrian proper if the Keenanisma is not tempered out) | ||
*Lydic Ionian (otherwise known as Ptolemy's Intense Diatonic Scale) | * Lydic Ionian (otherwise known as Ptolemy's Intense Diatonic Scale) | ||
*Lydic Dorian | * Lydic Dorian | ||
*Lydic Phrygian | * Lydic Phrygian | ||
=== Mixolydian === | === Mixolydian === | ||
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This scale is the second of two diatonic scales in this set that uses 256/243 as the interval between two of its notes. It consists of notes related to the Tonic by the following ratios: | This scale is the second of two diatonic scales in this set that uses 256/243 as the interval between two of its notes. It consists of notes related to the Tonic by the following ratios: | ||
*1/1 | * 1/1 | ||
*9/8 | * 9/8 | ||
*5/4 | * 5/4 | ||
*4/3 | * 4/3 | ||
*3/2 | * 3/2 | ||
*27/16 | * 27/16 | ||
*16/9 | * 16/9 | ||
*2/1 | * 2/1 | ||
As for the other modes of this scale, I give them the following names: | As for the other modes of this scale, I give them the following names: | ||
*Myxic Aeolian | * Myxic Aeolian | ||
*Myxic Locrian | * Myxic Locrian | ||
*Myxic Ionian | * Myxic Ionian | ||
*Myxic Dorian | * Myxic Dorian | ||
*Myxic Phrygian | * Myxic Phrygian | ||
*Myxic Lydian | * Myxic Lydian | ||
=== Aeolian === | === Aeolian === | ||