User:Aura/Aura's Melodic Scales - Revision history

Aura at 04:48, 16 January 2025

2025-01-16T04:48:36Z

← Older revision		Revision as of 04:48, 16 January 2025
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	=== Semilocrian ===		=== Semilocrian ===

	So named due to having only one of the traditional modifications common to Locrian mode when compared to Natural Minor, and its structure is a cross between that of Aeolian and that of ~~MLocrian~~, hence the Diatonic-derived apposite name "'''Aeolocrian'''". It consists of notes related to the Tonic by the following ratios:		So named due to having only one of the traditional modifications common to Locrian mode when compared to Natural Minor, and its structure is a cross between that of Aeolian and that of Locrian, hence the Diatonic-derived apposite name "'''Aeolocrian'''". It consists of notes related to the Tonic by the following ratios:

	* [[1/1]]		* [[1/1]]

Aura at 02:27, 5 July 2024

2024-07-05T02:27:46Z

← Older revision		Revision as of 02:27, 5 July 2024
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	* Auxolydic Myxaeolian		* Auxolydic Myxaeolian
	* Auxolydic Aeolocrian		* Auxolydic Aeolocrian
	* Auxolydic Meiolocrian		* Auxolydic Meiolocrian (only ever distinct from Meiolocrian proper if the Keenanisma is not tempered out)
	* Auxolydic Dorionian		* Auxolydic Dorionian
	* Auxolydic Phrygidorian		* Auxolydic Phrygidorian
Line 141:		Line 141:
	=== Meiolocrian ===		=== Meiolocrian ===

	~~One might think that Locrian~~ is ~~useless and~~ not ~~even worth the trouble~~, ~~however~~, the ~~actual problem is~~ that ~~people generally don~~'~~t know how~~ to ~~handle a flattened fifth~~, and ~~they assume~~ that the ~~harmony~~ of ~~Locrian must be strictly tertian when~~ this ~~is not the case at all~~. ~~This~~ scale ~~is only distinct from the~~ Lydian scale ~~by means other than simple mode~~ if the Keenanisma is not ~~tempered~~ out~~, as otherwise, the step patterns between the two scales are identical- with the Locrian~~ scale ~~consisting~~ of notes related to the Tonic by the following ratios:		Commonly thought of as being an enharmonic variation of the Altered scale from jazz, this scale is actually distinct from the Altered scale in non-Meantone settings owing to the [[syntonic comma]] not being tempered, and thus, different scale degrees having markedly different tunings between the two scales. Do note that for the Diatonic-derived apposite name, I've coined a prefix "meio-" from Ancient Greek [[Wiktionary: μειόω #Ancient Greek\|''meióō'']] (to lessen or diminish) and tacked it onto Locrian to make the name given here, and it is from this name that I've decided derive the names of the other modes of this scale. Much like with Locrian mode and Lydian mode in the Diatonic scale, this mode and Lydian Augmented share a scale if the Keenanisma is not temepred out. 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]]		* [[32/25]]
	* [[64/45]]		* [[64/45]]
	* [[8/5]]		* [[8/5]]
Line 154:		Line 154:
	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:

	* ~~Locric Ionian~~		* Meiolocric Dorionian
	* ~~Locric Dorian~~		* Meiolocric Phrygidorian
	* ~~Locric Phrygian~~		* Meiolocric Auxolydian (only ever distinct from Auxolydian proper if the Keenanisma is not tempered out)
	* Locric Lydian (only ever distinct from ~~Lydian~~ proper if the Keenanisma is not tempered out)		* Meiolocric Lydomyxian
	* ~~Locric Mixolydian~~		* Meiolocric Myxaeolian
	* ~~Locric Aeolian~~		* Meiolocric Aeolocrian

Aura: All but the last of these modes is done for now...

2024-07-05T02:05:48Z

All but the last of these modes is done for now...

← Older revision		Revision as of 02:05, 5 July 2024
Line 9:		Line 9:
	=== Melodic Minor ===		=== Melodic Minor ===

	My preferred version of this scale differs from my preferred Ionian mode solely by it having the 77/64 Minor 3rd in place of Ionian's 5/4 Major 3rd. In a similar vein to the Diatonic-derived apposite names mentioned above, we can analogously create the term '''Dorionian''', and thus, I'll be deriving the names of the other modes of this scale from Dorionian. This scale consists of notes related to the Tonic by the following ratios:		My preferred version of this scale differs from my preferred Ionian mode solely by it having the 77/64 Minor 3rd in place of Ionian's 5/4 Major 3rd. In a similar vein to the Diatonic-derived apposite names mentioned above, we can analogously create the term "'''Dorionian'''", and thus, I'll be deriving the names of the other modes of this scale from Dorionian. This scale consists of notes related to the Tonic by the following ratios:

	* [[1/1]]		* [[1/1]]
Line 31:		Line 31:
	=== Phrygidorian ===		=== Phrygidorian ===

	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 name given here. 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 given here. This scale consists of notes related to the Tonic by the following ratios:

	* [[1/1]]		* [[1/1]]
Line 53:		Line 53:
	=== Lydian Augmented ===		=== Lydian Augmented ===

	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:		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]]
Line 75:		Line 75:
	=== Lydian Dominant ===		=== Lydian Dominant ===

	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:		This scale, unlike some of the other Melodic scales, is likely to see some use, and its structure is a cross between that of Lydian and that of Mixolydian, hence the Diatonic-derived apposite name "'''Lydomyxian'''". It consists of notes related to the Tonic by the following ratios:

	* [[1/1]]		* [[1/1]]
Line 95:		Line 95:
	* Lydomyxic Auxolydian		* Lydomyxic Auxolydian

	=== ~~Mixolydian~~ ===		=== Melodic Major ===

	~~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:		My preferred version of this scale differs from my preferred Aeolian mode solely by it having the 5/4 Major 3rd in place of Aeolian's 77/64 Minor 3rd. It consists of a lower tetrachord resembling that of Mixolydian and an upper tetrachord resembling that of Aeolian, hence the Diatonic-derived apposite name "'''Myxaeolian'''". This scale consists of notes related to the Tonic by the following ratios:

	* [[1/1]]		* [[1/1]]
Line 104:		Line 104:
	* [[4/3]]		* [[4/3]]
	* [[3/2]]		* [[3/2]]
	* [[27/16]]		* [[8/5]]
	* [[16/9]]		* [[16/9]]
	* [[2/1]]		* [[2/1]]
Line 110:		Line 110:
	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:

	* ~~Mixolydic Aeolian~~		* Myxaeolic Aeolocrian
	* ~~Mixolydic Locrian~~		* Myxaeolic Meiolocrian
	* ~~Mixolydic Ionian~~		* Myxaeolic Dorionian
	* ~~Mixolydic Dorian~~		* Myxaeolic Phrygidorian
	* ~~Mixolydic Phrygian~~		* Myxaeolic Auxolydian
	* ~~Mixolydic Lydian~~		* Myxaeolic Lydomyxian

	=== ~~Aeolian~~ ===		=== Semilocrian ===

	~~Aside from the substitution~~ of the ~~77/64~~ Minor ~~3rd for the 6/5 Minor 3rd found in other Just versions~~ of ~~this scale~~, ~~my preferred version of~~ the ~~Aeolian scale is pretty typical~~. It consists of notes related to the Tonic by the following ratios:		So named due to having only one of the traditional modifications common to Locrian mode when compared to Natural Minor, and its structure is a cross between that of Aeolian and that of MLocrian, hence the Diatonic-derived apposite name "'''Aeolocrian'''". It consists of notes related to the Tonic by the following ratios:

	* [[1/1]]		* [[1/1]]
Line 125:		Line 125:
	* [[77/64]]		* [[77/64]]
	* [[4/3]]		* [[4/3]]
	* [[3/2]]		* [[64/45]]
	* [[8/5]]		* [[8/5]]
	* [[16/9]]		* [[16/9]]
Line 132:		Line 132:
	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:

	* ~~Aeolic Locrian~~		* Aeolocric Meiolocrian
	* ~~Aeolic Ionian~~		* Aeolocric Dorionian
	* ~~Aeolic Dorian~~		* Aeolocric Phrygidorian
	* ~~Aeolic Phrygian~~		* Aeolocric Auxolydian
	* ~~Aeolic Lydian~~		* Aeolocric Lydomyxian
	* ~~Aeolic Mixolydian~~		* Aeolocric Myxaeolian

	=== ~~Locrian~~ ===		=== Meiolocrian ===

	One might think that Locrian is useless and not even worth the trouble, however, the actual problem is that people generally don't know how to handle a flattened fifth, and they assume that the harmony of Locrian must be strictly tertian when this is not the case at all. This scale is only distinct from the Lydian scale by means other than simple mode if the Keenanisma is not tempered out, as otherwise, the step patterns between the two scales are identical- with the Locrian scale consisting of notes related to the Tonic by the following ratios:		One might think that Locrian is useless and not even worth the trouble, however, the actual problem is that people generally don't know how to handle a flattened fifth, and they assume that the harmony of Locrian must be strictly tertian when this is not the case at all. This scale is only distinct from the Lydian scale by means other than simple mode if the Keenanisma is not tempered out, as otherwise, the step patterns between the two scales are identical- with the Locrian scale consisting of notes related to the Tonic by the following ratios:

Aura at 01:51, 5 July 2024

2024-07-05T01:51:01Z

← Older revision		Revision as of 01:51, 5 July 2024
Line 9:		Line 9:
	=== Melodic Minor ===		=== Melodic Minor ===

	My preferred version of this scale differs from my preferred Ionian mode solely by it having the 77/64 Minor 3rd in place of Ionian's 5/4 Major 3rd. In a similar vein to the Diatonic-derived apposite names mentioned above, we can analogously create the term Dorionian, and thus, I'll be deriving the names of the other modes of this scale from Dorionian. This scale consists of notes related to the Tonic by the following ratios:		My preferred version of this scale differs from my preferred Ionian mode solely by it having the 77/64 Minor 3rd in place of Ionian's 5/4 Major 3rd. In a similar vein to the Diatonic-derived apposite names mentioned above, we can analogously create the term '''Dorionian''', and thus, I'll be deriving the names of the other modes of this scale from Dorionian. This scale consists of notes related to the Tonic by the following ratios:

	* [[1/1]]		* [[1/1]]
Line 31:		Line 31:
	=== Phrygidorian ===		=== Phrygidorian ===

	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:		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 name given here. This scale consists of notes related to the Tonic by the following ratios:

	* [[1/1]]		* [[1/1]]
Line 53:		Line 53:
	=== Lydian Augmented ===		=== Lydian Augmented ===

	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:		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]]
Line 75:		Line 75:
	=== Lydian Dominant ===		=== Lydian Dominant ===

	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:		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]]

Aura: Continuing the work of deriving new information from old information

2024-07-05T01:49:41Z

Continuing the work of deriving new information from old information

← Older revision		Revision as of 01:49, 5 July 2024
Line 31:		Line 31:
	=== 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]]
Line 51:		Line 51:
	* 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]]
Line 83:		Line 83:
	* [[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 ===

Aura at 01:07, 5 July 2024

2024-07-05T01:07:06Z

← Older revision		Revision as of 01:07, 5 July 2024
Line 9:		Line 9:
	=== Melodic Minor ===		=== Melodic Minor ===

	My preferred version of this scale differs from my preferred Ionian mode solely by it having the 77/64 Minor 3rd in place of Ionian's 5/4 Major 3rd. In a similar vein to the Diatonic-derived apposite names mentioned above, we can analogously create the term "Dorionian", and thus, I'll be deriving the names of the other modes of this scale from Dorionian. This scale consists of notes related to the Tonic by the following ratios:		My preferred version of this scale differs from my preferred Ionian mode solely by it having the 77/64 Minor 3rd in place of Ionian's 5/4 Major 3rd. In a similar vein to the Diatonic-derived apposite names mentioned above, we can analogously create the term Dorionian, and thus, I'll be deriving the names of the other modes of this scale from Dorionian. This scale consists of notes related to the Tonic by the following ratios:

	* [[1/1]]		* [[1/1]]
Line 34:		Line 34:

	* [[1/1]]		* [[1/1]]
	* [[9/8]]		* [[16/15]]
	* [[77/64]]		* [[77/64]]
	* [[4/3]]		* [[4/3]]
Line 44:		Line 44:
	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~~		* Phrygidoric Auxolydian
	* ~~Doric Lydian~~		* Phrygidoric Lydomyxian
	* ~~Doric Mixolydian~~		* Phrygidoric Myxaeolian
	* ~~Doric Aeolian~~		* Phrygidoric Aeolocrian
	* ~~Doric Locrian~~		* Phrygidoric Meiolocrian
	* ~~Doric Ionian~~		* Phrygidoric Dorionian

	~~Sample:~~

	~~[[File:Study in Dorian.mp3\|thumb\|none\|Study in Dorian]]~~

	=== Phrygian ===		=== Phrygian ===

Aura: Creating this page and beginning the process of deriving data on this page from the similar page on the Diatonic scales.

2024-07-05T01:04:33Z

Creating this page and beginning the process of deriving data on this page from the similar page on the Diatonic scales.

New page

== Introduction ==

Some musicians are familiar with the Melodic Minor scale, though they assume that in using it, one needs to raise the sixth and seventh degrees while ascending, and lower them to match Aeolian Mode while descending, though this is actually not the case. Rather, the sixth and seventh degrees need to be consistently raised to match Ionian mode when using this scale as a basis of tonality. Furthermore, there is a mode of the Melodic Minor scale which is like the Aeolian mode except for a natural third, so in order to remain neutral on the Major and Minor distinction concerning the name of this mode set, I'm referring to it as the Melodic scale. Furthermore, unlike with the Diatonic scale, most of the modes of the Melodic scale don't have consistent names other than nomenclature such as "Dorian b2" for the second mode in rotational order, though [https://music.stackexchange.com/questions/57288/melodic-minor-modes Diatonic-derived apposite names] do exist, though respelling is in some cases recommended for clarity. However, I have seen a few options that might work, especially as just like with the Diatonic modes each taking different optimal tunings and thus, splitting apart into different scales, it pays to have logical names for the modes of these new scales. As with the Diatonic Scales, I'm retaining 27/16 as my default Major 6th, and 77/64 as the default Minor 3rd.

== Melodic Scales ==

All of the chief Melodic scales listed here are named for their most useful mode.

=== Melodic Minor ===

My preferred version of this scale differs from my preferred Ionian mode solely by it having the 77/64 Minor 3rd in place of Ionian's 5/4 Major 3rd. In a similar vein to the Diatonic-derived apposite names mentioned above, we can analogously create the term "Dorionian", and thus, I'll be deriving the names of the other modes of this scale from Dorionian. This scale consists of notes related to the Tonic by the following ratios:

* [[1/1]]
* [[9/8]]
* [[77/64]]
* [[4/3]]
* [[3/2]]
* [[27/16]]
* [[15/8]]
* [[2/1]]

As for the other modes of this scale, I give them the following names:

* Dorionic Phrygidorian
* Dorionic Auxolydian
* Dorionic Lydomyxian
* Dorionic Myxaeolian
* Dorionic Aeolocrian
* Dorionic Meiolocrian

=== 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:

* [[1/1]]
* [[9/8]]
* [[77/64]]
* [[4/3]]
* [[3/2]]
* [[27/16]]
* [[16/9]]
* [[2/1]]

As for the other modes of this scale, I give them the following names:

* Doric Phrygian
* Doric Lydian
* Doric Mixolydian
* Doric Aeolian
* Doric Locrian
* Doric Ionian

Sample:

[[File:Study in Dorian.mp3|thumb|none|Study in Dorian]]

=== Phrygian ===

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:

* [[1/1]]
* [[16/15]]
* [[77/64]]
* [[4/3]]
* [[3/2]]
* [[8/5]]
* [[16/9]]
* [[2/1]]

As for the other modes of this scale, I give them the following names:

* Phrygic Lydian
* Phrygic Mixolydian
* Phrygic Aeolian
* Phrygic Locrian
* Phrygic Ionian
* Phrygic Dorian

=== Lydian ===

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:

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

The other modes of this scale are as follows:

* Lydic Mixolydian
* Lydic Aeolian
* 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 Dorian
* Lydic Phrygian

=== Mixolydian ===

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]]
* [[9/8]]
* [[5/4]]
* [[4/3]]
* [[3/2]]
* [[27/16]]
* [[16/9]]
* [[2/1]]

As for the other modes of this scale, I give them the following names:

* Mixolydic Aeolian
* Mixolydic Locrian
* Mixolydic Ionian
* Mixolydic Dorian
* Mixolydic Phrygian
* Mixolydic Lydian

=== Aeolian ===

Aside from the substitution of the 77/64 Minor 3rd for the 6/5 Minor 3rd found in other Just versions of this scale, my preferred version of the Aeolian scale is pretty typical. It consists of notes related to the Tonic by the following ratios:

* [[1/1]]
* [[9/8]]
* [[77/64]]
* [[4/3]]
* [[3/2]]
* [[8/5]]
* [[16/9]]
* [[2/1]]

As for the other modes of this scale, I give them the following names:

* Aeolic Locrian
* Aeolic Ionian
* Aeolic Dorian
* Aeolic Phrygian
* Aeolic Lydian
* Aeolic Mixolydian

=== Locrian ===

One might think that Locrian is useless and not even worth the trouble, however, the actual problem is that people generally don't know how to handle a flattened fifth, and they assume that the harmony of Locrian must be strictly tertian when this is not the case at all. This scale is only distinct from the Lydian scale by means other than simple mode if the Keenanisma is not tempered out, as otherwise, the step patterns between the two scales are identical- with the Locrian scale consisting of notes related to the Tonic by the following ratios:

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

As for the other modes of this scale, I give them the following names:

* Locric Ionian
* Locric Dorian
* Locric Phrygian
* Locric Lydian (only ever distinct from Lydian proper if the Keenanisma is not tempered out)
* Locric Mixolydian
* Locric Aeolian