User:Aura/Aura's Melodic Scales: Difference between revisions

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Continuing the work of deriving new information from old information
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=== Phrygidorian ===
=== Phrygidorian ===


This scale is not very well known, but it consists of a lower tetrachord resembling that of Phrygian .  This scale consists of notes related to the Tonic by the following ratios:
This scale is not very well known, but it consists of a lower tetrachord resembling that of Phrygian and an upper tetrachord resembling that of Dorian, hence the Diatonic-derived apposite name Phrygidorian.  This scale consists of notes related to the Tonic by the following ratios:


* [[1/1]]
* [[1/1]]
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* Phrygidoric Dorionian
* Phrygidoric Dorionian


=== Phrygian ===
=== Lydian Augmented ===


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.  This scale consists of notes related to the Tonic by the following ratios:
My preferred tuning of this scale utilizes the 25/16 for the augmented fifth, with this augmented fifth being the only note that distinguishes this scale from my preferred tuning of Lydian.  Do note that for the Diatonic-derived apposite name, I've coined a prefix "auxo-" from Ancient Greek [[Wiktionary: αὔξω #Ancient Greek|''aúxō'']] (to make grow or increase) and tacked it onto Lydian to make the name Auxolydian, and it is from this that I've decided derive the names of the other modes of this scale.  This scale consists of notes related to the Tonic by the following ratios:


* [[1/1]]
* [[1/1]]
* [[16/15]]
* [[9/8]]
* [[77/64]]
* [[5/4]]
* [[4/3]]
* [[45/32]]
* [[3/2]]
* [[25/16]]
* [[8/5]]
* [[27/16]]
* [[16/9]]
* [[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:


* Phrygic Lydian
* Auxolydic Lydomyxian
* Phrygic Mixolydian
* Auxolydic Myxaeolian
* Phrygic Aeolian
* Auxolydic Aeolocrian
* Phrygic Locrian
* Auxolydic Meiolocrian
* Phrygic Ionian
* Auxolydic Dorionian
* Phrygic Dorian
* Auxolydic Phrygidorian


=== Lydian ===
=== Lydian Dominant ===


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.  This scale consists of notes related to the Tonic by the following ratios:
This scale, unlike some of the other Melodic scales, is likely to see some use, and it consists of a lower tetrachord resembling that of Lydian and an upper tetrachord resembling that of Mixolydian, hence the Diatonic-derived apposite name Lydomyxian.  This scale consists of notes related to the Tonic by the following ratios:


* [[1/1]]
* [[1/1]]
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* [[3/2]]
* [[3/2]]
* [[27/16]]
* [[27/16]]
* [[15/8]]
* [[16/9]]
* [[2/1]]
* [[2/1]]


The other modes of this scale are as follows:
The other modes of this scale are as follows:


* Lydic Mixolydian
* Lydomyxic Myxaeolian
* Lydic Aeolian
* Lydomyxic Aeolocrian
* Lydic Locrian (only ever distinct from Locrian proper if the Keenanisma is not tempered out)
* Lydomyxic Meiolocrian
* Lydic Ionian (otherwise known as Ptolemy's Intense Diatonic Scale)
* Lydomyxic Dorionian
* Lydic Dorian
* Lydomyxic Phrygidorian
* Lydic Phrygian
* Lydomyxic Auxolydian


=== Mixolydian ===
=== Mixolydian ===