User:Ganaram inukshuk/TAMNAMS: Difference between revisions

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=== Expanded spectrum and other terminology ===

For a derivation of these ratio ranges, see <link>.

==Naming mos intervals==

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**The large size of the dark generator is '''augmented''', and the small size is '''perfect'''.

*For all other intervals, the large size is '''major''' and the small size is '''minor'''.

There is one exception to the above rules: the designations of augmented, perfect, and diminished don't apply for the generators for ~~mosses of the form~~ ''n''L ''n''s. Instead, major and minor is used~~. This is~~ to prevent ambiguity over calling every interval perfect.

There is one exception to the above rules: the designations of augmented, perfect, and diminished don't apply for the generators for ''n''L ''n''s mosses. Instead, major and minor is used, so as to prevent ambiguity over calling every interval perfect.

Mosstep intervals can exceed the octave as they do in standard music theory (eg, a diatonic 9th is a diatonic 2nd raised one octave). For a single-period mos, any interval that is raised by an octave will be the same interval quality that it was before raising. Likewise, for a multi-period mos, any interval raised by the period, where the period is a fraction of the octave, will be the same interval quality that it was before raising.

Mosstep intervals can exceed the octave as they do in standard music theory (eg, a diatonic 9th is a diatonic 2nd raised one octave). For a single-period mos, any interval that is raised by an octave will be the same interval quality that it was before raising. Likewise, for a multi-period mos, any interval raised by the period, where the period is some fraction of the octave, will be the same interval quality that it was before raising.

Examples using 5L 2s and 4L 4s are provided below. Note that 5L 2s interval names are identical to that of standard music theory, apart from the 0-indexed interval names. To differentiate intervals of a specific mos, a prefix can be used in place of "mos-", outlined <link>. For a detailed derivation of these intervals, see <link>.

Examples using 5L 2s and 4L 4s interval names are provided below. Note that 5L 2s interval names are identical to that of standard music theory, apart from the 0-indexed interval names. To differentiate intervals of a specific mos, the mos's corresponding prefix can be used in place of "mos-", outlined <link>. For a detailed derivation of these intervals, see <link>.

<table>

<tr>

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A discussion on how to perform interval arithmetic can be found at <link>.

===Other terminology and ~~other~~ intervals===

===Other terminology and intervals===

Intervals that have a perfect variety (the unison, period intervals, and generators) are called ''perfectable intervals'', whereas intervals that do not have a perfect variety are called ''non-perfectable intervals''. Intervals corresponding to the generators may be called ''imperfect intervals'' since, unlike the period and unison, they have two varieties instead of one.

@@ Line 210: / Line 210: @@
 === Expanded spectrum and other terminology ===
+For a derivation of these ratio ranges, see <link>.
 ==Naming mos intervals==
@@ Line 223: / Line 224: @@
 **The large size of the dark generator is '''augmented''', and the small size is '''perfect'''.
 *For all other intervals, the large size is '''major''' and the small size is '''minor'''.
-There is one exception to the above rules: the designations of augmented, perfect, and diminished don't apply for the generators for mosses of the form ''n''L ''n''s. Instead, major and minor is used. This is to prevent ambiguity over calling every interval perfect.
+There is one exception to the above rules: the designations of augmented, perfect, and diminished don't apply for the generators for ''n''L ''n''s mosses. Instead, major and minor is used, so as to prevent ambiguity over calling every interval perfect.
-Mosstep intervals can exceed the octave as they do in standard music theory (eg, a diatonic 9th is a diatonic 2nd raised one octave). For a single-period mos, any interval that is raised by an octave will be the same interval quality that it was before raising. Likewise, for a multi-period mos, any interval raised by the period, where the period is a fraction of the octave, will be the same interval quality that it was before raising.
+Mosstep intervals can exceed the octave as they do in standard music theory (eg, a diatonic 9th is a diatonic 2nd raised one octave). For a single-period mos, any interval that is raised by an octave will be the same interval quality that it was before raising. Likewise, for a multi-period mos, any interval raised by the period, where the period is some fraction of the octave, will be the same interval quality that it was before raising.
-Examples using 5L 2s and 4L 4s are provided below. Note that 5L 2s interval names are identical to that of standard music theory, apart from the 0-indexed interval names. To differentiate intervals of a specific mos, a prefix can be used in place of "mos-", outlined <link>. For a detailed derivation of these intervals, see <link>.
+Examples using 5L 2s and 4L 4s interval names are provided below. Note that 5L 2s interval names are identical to that of standard music theory, apart from the 0-indexed interval names. To differentiate intervals of a specific mos, the mos's corresponding prefix can be used in place of "mos-", outlined <link>. For a detailed derivation of these intervals, see <link>.
 <table>
 <tr>
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 A discussion on how to perform interval arithmetic can be found at <link>.
-===Other terminology and other intervals===
+===Other terminology and intervals===
 Intervals that have a perfect variety (the unison, period intervals, and generators) are called ''perfectable intervals'', whereas intervals that do not have a perfect variety are called ''non-perfectable intervals''. Intervals corresponding to the generators may be called ''imperfect intervals'' since, unlike the period and unison, they have two varieties instead of one.