5L 4s: Difference between revisions

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'''5L 4s''' refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). Some suggested names for this pattern are '''semiquartal''', '''hemidiatessaric''' or '''hemitess''' (from Ancient Greek ''hemi'' 'half' + ''diatessaron'', the term for the perfect fourth in Ancient Greek music).

'''5L 4s''', or '''semiquartal''', refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's).

The familiar harmonic entropy minimum with this MOS pattern is [[Meantone_family#Godzilla|godzilla]], in which a generator is [[8/7|8/7]] or [[7/6|7/6]] (tempered to be the same interval, or even 37/32 if you like) so two of them make a [[4/3|4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[Chromatic_pairs#semaphore|semaphore]], there is also a weird scale called "[[Pseudo-semaphore|pseudo-semaphore]]", in which two different flavors of [[3/2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.

Revision as of 00:00, 25 March 2021 view source Inthar (talk \| contribs) autopatrolled 15,004 edits m "superpelog" may misleadingly suggest link to pelog ← Older edit		Revision as of 00:00, 25 March 2021 view source Inthar (talk \| contribs) autopatrolled 15,004 edits m making "semiquartal" the official name for 5L 4s Newer edit →
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	'''5L 4s''' refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). Some suggested names for this pattern are '''semiquartal''', '''hemidiatessaric''' or '''hemitess''' (from Ancient Greek ''hemi'' 'half' + ''diatessaron'', the term for the perfect fourth in Ancient Greek music).		'''5L 4s''', or '''semiquartal''', refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's).

	The familiar harmonic entropy minimum with this MOS pattern is [[Meantone_family#Godzilla\|godzilla]], in which a generator is [[8/7\|8/7]] or [[7/6\|7/6]] (tempered to be the same interval, or even 37/32 if you like) so two of them make a [[4/3\|4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[Chromatic_pairs#semaphore\|semaphore]], there is also a weird scale called "[[Pseudo-semaphore\|pseudo-semaphore]]", in which two different flavors of [[3/2\|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.		The familiar harmonic entropy minimum with this MOS pattern is [[Meantone_family#Godzilla\|godzilla]], in which a generator is [[8/7\|8/7]] or [[7/6\|7/6]] (tempered to be the same interval, or even 37/32 if you like) so two of them make a [[4/3\|4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[Chromatic_pairs#semaphore\|semaphore]], there is also a weird scale called "[[Pseudo-semaphore\|pseudo-semaphore]]", in which two different flavors of [[3/2\|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.