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

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'''Contramediant''' - This is my term for the note that occurs roughly at intervals between 25/16 and 128/75 away from the Tonic in the scale's direction of construction. The Contramediant is the second of two scale degrees with the most possibilities for the realization, however, in true diatonic scales of the variety I'm defining here, it is generally within 20 cents of either 8/5 or 27/16- the latter interval being used in place of 5/3 for reasong which are detailed below. If the Contramediant is set at the Tonic's 27th harmonic, a grave fifth is then positioned between the Contramediant and the Mediant, and the slightly-off sound of the resulting minor triad provides a more clear indication that one should expect a follow up- this is a deceptive cadence at its finest. Furthermore, setting the Contramediant at the Tonic's 27th harmonic alters the character of the Serviant chord to be less consonant, and thus allows the Serviant to unambiguously perform its harmonic functions relative to both the Tonic and the Dominant.

'''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].

'''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 [[Wikipedia: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 [[~~Wikipeida~~:Leading-tone]], but do note that this article does refers to what I call a "Contralead" 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 [[Wikipedia: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? ==

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 '''Contramediant''' - This is my term for the note that occurs roughly at intervals between 25/16 and 128/75 away from the Tonic in the scale's direction of construction.  The Contramediant is the second of two scale degrees with the most possibilities for the realization, however, in true diatonic scales of the variety I'm defining here, it is generally within 20 cents of either 8/5 or 27/16- the latter interval being used in place of 5/3 for reasong which are detailed below.  If the Contramediant is set at the Tonic's 27th harmonic, a grave fifth is then positioned between the Contramediant and the Mediant, and the slightly-off sound of the resulting minor triad provides a more clear indication that one should expect a follow up- this is a deceptive cadence at its finest.  Furthermore, setting the Contramediant at the Tonic's 27th harmonic alters the character of the Serviant chord to be less consonant, and thus allows the Serviant to unambiguously perform its harmonic functions relative to both the Tonic and the Dominant.
-'''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].
+'''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 [[Wikipedia: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 [[Wikipeida:Leading-tone]], but do note that this article does refers to what I call a "Contralead" 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 [[Wikipedia: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? ==