Bug and beep: Difference between revisions

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''Beep''' is a remarkable low-complexity, though high-badness 7-limit temperament. It is also called '''titanium''' by Mason Green. Titanium tempers out the septimal chromatic semitone ([[21/20|21:20]]), making it a [[Septisemi_temperaments|septisemi]] temperament, and the slendro diesis (49:48), making it part of the [[Slendro_clan|slendro clan]]. As such, [[6/5|6:5]], [[7/6|7:6]], and [[8/7|8:7]] are all represented by the same interval (which, in fact, is the generator). Two of these generators make a very sharp fourth (which is also a very flat [[7/5|7:5]]). Since three fifths make a minor (not major) sixth, and four make a minor (not major) third, it is also a [[pelogic|pelogic]] temperament. It also tempers out 27:25 and is part of the [[Bug_family|bug]] family, and in fact "brittle" titanium (see below) is essentially the same as bug's 7-limit extension beep; because of this, the generator also functions as [[9|10:9]] (meaning this tuning has a ''negative'' syntonic comma). Finally it can be also considered a sort of messed-up variant of [[Orwell|orwell]] temperament as well, since the generator falls into the same range of sizes.
'''Beep''' is a remarkable low-complexity, though high-badness 7-limit temperament. It is also called '''titanium''' by Mason Green. Titanium tempers out the septimal chromatic semitone ([[21/20|21:20]]), making it a [[Septisemi_temperaments|septisemi]] temperament, and the slendro diesis (49:48), making it part of the [[Slendro_clan|slendro clan]]. As such, [[6/5|6:5]], [[7/6|7:6]], and [[8/7|8:7]] are all represented by the same interval (which, in fact, is the generator). Two of these generators make a very sharp fourth (which is also a very flat [[7/5|7:5]]). Since three fifths make a minor (not major) sixth, and four make a minor (not major) third, it is also a [[pelogic|pelogic]] temperament. It also tempers out 27:25 and is part of the [[Bug_family|bug]] family, and in fact "brittle" titanium (see below) is essentially the same as bug's 7-limit extension beep; because of this, the generator also functions as [[9|10:9]] (meaning this tuning has a ''negative'' syntonic comma). Finally it can be also considered a sort of messed-up variant of [[Orwell|orwell]] temperament as well, since the generator falls into the same range of sizes.


The edos whose patent vals support titanium are [[4edo|4edo]], [[5edo|5edo]], [[9edo|9edo]], and [[14edo|14edo]]. Many other edos can be used as non-patent vals, such as 13.
The edos whose patent vals support titanium are [[4edo|4edo]], [[5edo|5edo]], [[9edo|9edo]], and [[14edo|14edo]]. Many other edos can be used as non-patent vals, such as 13.