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Lodovico Fogliani [4] mentioned the quarter-comma system, but offered no discussion of it. The first mathematically precise meantone tuning descriptions are to be found in late 16th century treatises by Zarlino [5] and de Salinas. [6] Both these authors described the 1 / 4 comma, 1 / 3 comma, and 2 / 7 comma meantone ...
A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters. [1] [verification needed] [clarification needed] Often, such games have simple rules and match procedures, such as tic-tac-toe and dots and boxes. Generally, mathematical games need not be conceptually intricate to involve deeper ...
In just intonation the quarter tone can be represented by the septimal quarter tone, 36:35 (48.77 cents), or by the undecimal quarter tone (i.e. the thirty-third harmonic), 33:32 (53.27 cents), approximately half the semitone of 16:15 or 25:24. The ratio of 36:35 is only 1.23 cents narrower than a 24-TET quarter tone.
12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.
In the words of William Hubbard's Musical Dictionary (1908), an anomalous chord is a "chord containing an interval" that "has been made very sharp or flat in tempering the scale for instruments of fixed pitches". [2] The development of well temperament allowed fixed-pitch instruments to play reasonably well in all of the keys.
The game begins by all players rolling a die, with the high roll chosen to be the first "dasher". The dasher draws a "definition card" from the supplied box, and rolls the dice to decide which of the words listed there is to be used. Then the dasher writes the definition of the word (as supplied on the card) on a piece of paper.
12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).
The official limit for the main game is 555 words. Please note that this word limit for this game must not be raised or lowered. Every 100th word may be made into a new branch. However, there cannot be any sub-branches and therefore the total number of branches possible in this game are 5. Branches may contain up to 100 words maximum and 35 ...
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