Hemipyth: Difference between revisions

Line 86:

Intervals retain their quality when the frequency ratio is multiplied by the perfect semioctave √2 e.g. M6 - P4.5 = M2.5 = (9/8)^(3/2).

Relative interordinal intervals are either called by their double i.e. M2.5 is a major semifourth due to being exactly the half of an augmented fourth (Aug4), or by simply adding the suffix "-and-a-halfth" i.e. "major second-and-a-halfth". The semisecond ~~get~~ the special nickname "sesquith".

Relative interordinal intervals are either called by their double i.e. M2.5 is a major semifourth due to being exactly the half of an augmented fourth (Aug4), or by simply adding the suffix "-and-a-halfth" i.e. "major second-and-a-halfth". The semisecond gets the special nickname "sesquith".

The nominals for absolute pitches are denoted using lowercase Greek nominals (uppercase often looks identical to pre-existing Latin nominals). The logic being that Latin and Greek notes differ by a multiple of √2 when paired up alphabetically. The direction is determined by octaves starting from the middle C.

@@ Line 86: / Line 86: @@
 Intervals retain their quality when the frequency ratio is multiplied by the perfect semioctave √2 e.g. M6 - P4.5 = M2.5 = (9/8)^(3/2).
-Relative interordinal intervals are either called by their double i.e. M2.5 is a major semifourth due to being exactly the half of an augmented fourth (Aug4), or by simply adding the suffix "-and-a-halfth" i.e. "major second-and-a-halfth". The semisecond get the special nickname "sesquith".
+Relative interordinal intervals are either called by their double i.e. M2.5 is a major semifourth due to being exactly the half of an augmented fourth (Aug4), or by simply adding the suffix "-and-a-halfth" i.e. "major second-and-a-halfth". The semisecond gets the special nickname "sesquith".
 The nominals for absolute pitches are denoted using lowercase Greek nominals (uppercase often looks identical to pre-existing Latin nominals). The logic being that Latin and Greek notes differ by a multiple of √2 when paired up alphabetically. The direction is determined by octaves starting from the middle C.