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

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'''Reverse Lead''' - 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.

'''Supertonic''' - This is the note that occurs roughly at intervals between 567/512 and 256/~~255~~ 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 Reverse Lead.

'''Mediant''' - This is the note that occurs roughly at intervals between 75/64 and 165/128 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].

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 '''Reverse Lead''' - 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.
-'''Supertonic''' - This is the note that occurs roughly at intervals between 567/512 and 256/255 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 Reverse Lead.
 '''Mediant''' - This is the note that occurs roughly at intervals between 75/64 and 165/128 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].