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

Line 11:

'''Tonic''' - This is the note that serves as the tonal center, and thus, the main resolution tone, and is the note for which scales are named (e.g. the key of C major is so-named because in this scale, C serves as the Tonic). For more information about the general functionalities and properties of the Tonic, see Wikipedia's article [https://en.wikipedia.org/wiki/Tonic_(music)].

'''Contralead''' - This is my term for a note that occurs at intervals between 160/153 and 14/13 away from the Tonic, and, which serves as a leading tone in the direction opposite that of the scale's direction of construction- which, in most modern music, is from the Bass upwards. This means that in most music, the ~~Reverse Lead~~ occurs as a lowered second scale degree.

'''Contralead''' - This is my term for a note that occurs at intervals between 160/153 and 14/13 away from the Tonic, and, which serves as a leading tone in the direction opposite that of the scale's direction of construction- which, in most modern music, is from the Bass upwards. This means that in most music, the Contralead occurs as a lowered second scale degree.

'''Supertonic''' - This is the note that occurs roughly at intervals between 567/512 and 256/225 above the Tonic as the second scale degree, with 9/8 proving to be the most harmonically stable ratio between the Supertonic and the Tonic, and 10/9 often occurring as a common but less stable alternative, thus, in diatonic scales, the Supertonic generally occurs within 5 cents of either 10/9 or 9/8. For more information about the general functionalities and properties of the Supertonic, see Wikipedia's article [https://en.wikipedia.org/wiki/Supertonic], but do note that this article does not distinguish between a Supertonic and a ~~Reverse Lead~~.

'''Supertonic''' - This is the note that occurs roughly at intervals between 567/512 and 256/225 above the Tonic as the second scale degree, with 9/8 proving to be the most harmonically stable ratio between the Supertonic and the Tonic, and 10/9 often occurring as a common but less stable alternative, thus, in diatonic scales, the Supertonic generally occurs within 5 cents of either 10/9 or 9/8. For more information about the general functionalities and properties of the Supertonic, see Wikipedia's article [https://en.wikipedia.org/wiki/Supertonic], but do note that this article does not distinguish between a Supertonic and a Contralead.

'''Mediant''' - This is the note that occurs roughly at intervals between 75/64 and 32/25 away from the Tonic in the scale's direction of construction. This is the first of the two scale degrees with the most possibilities for realization, though in true diatonic scales, it is generally within 20 cents of either 6/5 or 5/4. As only notes at intervals with powers of 2 in either the numerator or the denominator are harmonically or subharmonically connected with the Tonic and 6/5 fails to meet this critera, I often replace the traditional 6/5 Minor 3rd with the 77/64 Minor Third. For more information about the general functionalities and properties of the Mediant, see Wikipedia's article [https://en.wikipedia.org/wiki/Mediant].

Line 27:

'''Subtonic''' - This is the note that occurs roughly at intervals between 225/128 and 1024/567 above the Tonic as the seventh scale degree, with 16/9 proving to be the most harmonically stable ratio between the Supertonic and the Tonic, and 9/5 often occurring as a common but less stable alternative, thus, in diatonic scales, the Subtonic generally occurs within 5 cents of either 16/9 or 9/5. For more information about the general functionalities and properties of the Subtonic, see Wikipedia's article [https://en.wikipedia.org/wiki/Subtonic].

'''Lead''' - This is a note that occurs at intervals between 153/80 and 13/7 away from the Tonic, which serves as a leading tone in the scale's direction of construction. For more information about the general functionalities and properties of the Lead, see [https://en.wikipedia.org/wiki/Leading-tone], but do note that this article does refers to what I call a "~~Reverse Lead~~" by the term "Upper Leading-Tone".

'''Lead''' - This is a note that occurs at intervals between 153/80 and 13/7 away from the Tonic, which serves as a leading tone in the scale's direction of construction. For more information about the general functionalities and properties of the Lead, see [https://en.wikipedia.org/wiki/Leading-tone], but do note that this article does refers to what I call a "Contralead" by the term "Upper Leading-Tone".

== Why 27/16 instead of 5/3? ==

@@ Line 11: / Line 11: @@
 '''Tonic''' - This is the note that serves as the tonal center, and thus, the main resolution tone, and is the note for which scales are named (e.g. the key of C major is so-named because in this scale, C serves as the Tonic).  For more information about the general functionalities and properties of the Tonic, see Wikipedia's article [https://en.wikipedia.org/wiki/Tonic_(music)].
-'''Contralead''' - This is my term for a note that occurs at intervals between 160/153 and 14/13 away from the Tonic, and, which serves as a leading tone in the direction opposite that of the scale's direction of construction- which, in most modern music, is from the Bass upwards.  This means that in most music, the Reverse Lead occurs as a lowered second scale degree.
+'''Contralead''' - This is my term for a note that occurs at intervals between 160/153 and 14/13 away from the Tonic, and, which serves as a leading tone in the direction opposite that of the scale's direction of construction- which, in most modern music, is from the Bass upwards.  This means that in most music, the Contralead occurs as a lowered second scale degree.
-'''Supertonic''' - This is the note that occurs roughly at intervals between 567/512 and 256/225 above the Tonic as the second scale degree, with 9/8 proving to be the most harmonically stable ratio between the Supertonic and the Tonic, and 10/9 often occurring as a common but less stable alternative, thus, in diatonic scales, the Supertonic generally occurs within 5 cents of either 10/9 or 9/8.  For more information about the general functionalities and properties of the Supertonic, see Wikipedia's article [https://en.wikipedia.org/wiki/Supertonic], but do note that this article does not distinguish between a Supertonic and a Reverse Lead.
+'''Supertonic''' - This is the note that occurs roughly at intervals between 567/512 and 256/225 above the Tonic as the second scale degree, with 9/8 proving to be the most harmonically stable ratio between the Supertonic and the Tonic, and 10/9 often occurring as a common but less stable alternative, thus, in diatonic scales, the Supertonic generally occurs within 5 cents of either 10/9 or 9/8.  For more information about the general functionalities and properties of the Supertonic, see Wikipedia's article [https://en.wikipedia.org/wiki/Supertonic], but do note that this article does not distinguish between a Supertonic and a Contralead.
 '''Mediant''' - This is the note that occurs roughly at intervals between 75/64 and 32/25 away from the Tonic in the scale's direction of construction.  This is the first of the two scale degrees with the most possibilities for realization, though in true diatonic scales, it is generally within 20 cents of either 6/5 or 5/4.  As only notes at intervals with powers of 2 in either the numerator or the denominator are harmonically or subharmonically connected with the Tonic and 6/5 fails to meet this critera, I often replace the traditional 6/5 Minor 3rd with the 77/64 Minor Third.  For more information about the general functionalities and properties of the Mediant, see Wikipedia's article [https://en.wikipedia.org/wiki/Mediant].
@@ Line 27: / Line 27: @@
 '''Subtonic''' - This is the note that occurs roughly at intervals between 225/128 and 1024/567 above the Tonic as the seventh scale degree, with 16/9 proving to be the most harmonically stable ratio between the Supertonic and the Tonic, and 9/5 often occurring as a common but less stable alternative, thus, in diatonic scales, the Subtonic generally occurs within 5 cents of either 16/9 or 9/5.  For more information about the general functionalities and properties of the Subtonic, see Wikipedia's article [https://en.wikipedia.org/wiki/Subtonic].
-'''Lead''' - This is a note that occurs at intervals between 153/80 and 13/7 away from the Tonic, which serves as a leading tone in the scale's direction of construction.  For more information about the general functionalities and properties of the Lead, see [https://en.wikipedia.org/wiki/Leading-tone], but do note that this article does refers to what I call a "Reverse Lead" by the term "Upper Leading-Tone".
+'''Lead''' - This is a note that occurs at intervals between 153/80 and 13/7 away from the Tonic, which serves as a leading tone in the scale's direction of construction.  For more information about the general functionalities and properties of the Lead, see [https://en.wikipedia.org/wiki/Leading-tone], but do note that this article does refers to what I call a "Contralead" by the term "Upper Leading-Tone".
 == Why 27/16 instead of 5/3? ==