Undecimal (also known as unodecimal, undenary, and the base 11 numeral system) is a positional numeral system that uses eleven as its base. While no known...

est undécimal, et les Anglais sont les premiers qui ont propagé cette fausse idée. (L.)" [(2) Error. The Zealander arithmetic system is undecimal, and...

sharper than the 12-ET-minor sixth. In 11-limit tuning, the 11:7 (Play) undecimal minor sixth is 782.49 cents. The minor sixth is one of consonances of...

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...

termed neutral seconds: The intermediate neutral second, called the lesser undecimal neutral second play, has a ratio between the higher-frequency tone to...

or 408 cents (play). The septimal major third is 9:7 (435 cents), the undecimal major third is 14:11 (418 cents), and the tridecimal major third is 13:10...

318 cents; approximated as F4 above C1), known as the lesser undecimal tritone or undecimal semi-augmented fourth, is found in some just tunings and on...

natural or sharp sign, septimal commas using Giuseppe Tartini's symbol, and undecimal quartertones using the common practice quartertone signs (a single cross...

interval. Three distinct intervals may be termed neutral thirds: The undecimal neutral third has a ratio of 11:9 between the frequencies of the two tones...

tone and the septimal minor third. It is about 35.70 cents wide. The undecimal diesis is equal to 45:44 or about 38.91 cents, closely approximated by...

is a divisor of all following highly composite numbers. palindromic in undecimal (199111) and a repdigit in bases 55, 59, and 62. a Harshad number in all...

7-limit tuning and intervals are called septimal, 11-limit is called undecimal, and so on. In musical temperament, the simple ratios of just intonation...

undulation, undulatory, undulatus, undulose undecim- eleventh Latin undecimus undecimal unden- eleven each Latin ūndēni undenary ungu- claw, hoof, nail Latin...

respectively. Johnston introduces new symbols for the septimal ( & ), undecimal (↑ & ↓), tridecimal ( & ), and further prime-number extensions to create...

intonation—a ratio of numbers with prime factors no higher than five. Septimal, undecimal, tridecimal, and septendecimal mean, respectively, 7, 11, 13, and 17-limit...

7⁄10, 9⁄10 11 greater undecimal neutral second 3P8 + lesser undecimal tritone 4,151.3 551.3 1⁄11 to 10⁄11 Play 12 lesser undecimal neutral second 3P8 +...

Play 10 just major third 3·P8 + M3 6,000 386.3 Play 11 lesser undecimal tritone, undecimal semi-augmented fourth 3·P8 + a4 6,600 551.3 Play 12 perfect fifth...

approximation of the eleventh harmonic (11:8 or 551.32 cents). A narrower undecimal major fourth is found at 537 cents (the ratio 15:11). 31 equal temperament...

counted (in New Zealand, this method was misunderstood by Europeans as undecimal or base-11 counting). In the traditional method, the pile of set-asides...

11-limit 11:10 greater undecimal neutral second Play....

apotome Major limma Quarter tones Quarter tone Septimal quarter tone Undecimal quarter tone Commas Pythagorean comma (23.5 cents) Syntonic comma (21...

60 70 80 90 → Cardinal eleven Ordinal 11th (eleventh) Numeral system undecimal Factorization prime Prime 5th Divisors 1, 11 Greek numeral ΙΑ´ Roman numeral...

they do provide a brief historical insight into his reason for proposing undecimal or Base 11 as the base number for the reformed system of weights and measures...

sesquinona: minor tone D- 11:10 165.00 greater undecimal neutral second D↑♭- 12:11 150.64 lesser undecimal neutral second D↓ 15:14 119.44 septimal diatonic...

intervals involving it are less closely matched, as illustrated by the undecimal neutral seconds and thirds in the table below. 7-limit ratios are colored...

apotome Major limma Quarter tones Quarter tone Septimal quarter tone Undecimal quarter tone Commas Pythagorean comma (23.5 cents) Syntonic comma (21...

apotome Major limma Quarter tones Quarter tone Septimal quarter tone Undecimal quarter tone Commas Pythagorean comma (23.5 cents) Syntonic comma (21...

involving up through the 12th overtones, with the exception of the greater undecimal neutral second (11:10). Although not as accurate, it can be considered...

582.51 −17.81 tridecimal narrow tritone 08 564.71 18:13 563.38 +01.32 undecimal super-fourth 08 564.71 11:80 551.32 +13.39 perfect fourth 07 494.12 4:3...

apotome Major limma Quarter tones Quarter tone Septimal quarter tone Undecimal quarter tone Commas Pythagorean comma (23.5 cents) Syntonic comma (21...