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# Topic: Ionian numerals

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 Greek Numbers and Arithmetic The (Ionian) Greek system of enumeration was a little more sophisticated than the Egyptian though it was non-positional. The numerator was written with an overbar, the denominator with the diacritical mark. Numerous, similar, representations also have been used, with increasing sophistication with time. www.math.tamu.edu /~dallen/history/gr_count/gr_count.html   (383 words)

 Happy Dogs Clup, The biggest dog resource center,breeds,cloths   (Site not responding. Last check: 2007-10-20) Roman numerals remained in common use until about the 14th century, when they were replaced by Arabic numerals (thought to have been introduced to Europe from al-Andalus, by way of Arab traders and arithmetic treatises, around the 11th century). In chemistry, Roman numerals were used to denote the group in the periodic table of the elements. In music theory, while scale degrees are typically represented with Arabic numerals, often modified with a caret or circumflex, the triads that have these degrees as their roots are often identified by Roman numerals (as in chord symbols). www.happydogsclup.com /sdmc_Roman_numeral   (3664 words)

 numeral. The Columbia Encyclopedia, Sixth Edition. 2001-05 The symbol is a member of a family of marks, such as letters, figures, or words, which alone or in a group represent the members of a numeration system. The earliest numerals were undoubtedly marks used to make a tally of a count of a number of acts or objects, one mark per object. Use of numerical values is not found in the Hebrew scriptures but is thought to have originated under Greek influence. www.bartleby.com /65/nu/numeral.html   (943 words)

 Wikidpedia - The free online encyclopedia - Binary numeral system   (Site not responding. Last check: 2007-10-20) In a computer, the numeric values may be represented by two different voltages; on a magnetic disk, magnetic polarities may be used. A "positive", "yes", or "on" state is not necessarily equivalent to the numerical value of one; it depends on the architecture in use. Though not directly related to the numerical interpretation of binary symbols, sequences of bits may be manipulated using Boolean logical operators. www.pagerank10.co.uk /wiki/?title=Binary_numeral_system   (3170 words)

 Numerals The Milesian numeric system has the same basis as the Hebrew: 9 letters are assigned to each of the units 1-9, 9 letters to the tens 10-90, and 9 letters to the hundreds 100-900. As a result, the numeric versions of the characters drifted away from their original natures—aided by the fact that the numerals got uncial and thence lowercase versions as they were incorporated into the mediaeval development of the Greek script, whereas the archaic letters remained frozen on stone, and forgotten by the scribes. The identification of the Ionic letter with the numeral is conjectural, and Jeffery herself titles the letter "sampi" in scare-quotes, because she does not believe that was the original name of the letter. ptolemy.tlg.uci.edu /~opoudjis/unicode/numerals.html   (3758 words)

 Greek numerals - Wikipedia, the free encyclopedia Greek numerals are a system of representing numbers using letters of the Greek alphabet. To distinguish numerals from letters they are followed by the "keraia" (Greek κεραῖα - antenna), a symbol similar to an acute sign (Unicode U+0734). This system was probably adapted from Babylonian numerals by Hipparchus c. en.wikipedia.org /wiki/Ionian_numerals   (730 words)

 Abstract   (Site not responding. Last check: 2007-10-20) It has traditionally been assumed that the Greek alphabetic numerals were independently invented in the 6th century BC. The origin of the alphabetic numerals among Ionian traders who doubtless knew of the demotic numerals, especially given the Ionian colony at Naukratis in the Nile Delta, provides the historical context for postulating diffusion of the numerals from Egypt to Greece. It is proposed that the theory of independent invention of the alphabetic numerals be replaced with a working hypothesis of direct diffusion from the Egyptian demotic numerals. phrontistery.50megs.com /abs5.html   (115 words)

 Ionic - Wikipedia, the free encyclopedia Ionian Islands, seven Greek islands which lie on the eastern coast of the Ionian Sea. Ionian Sea, an arm of the Mediterranean Sea, between Greece and Southern Italy. Ionian Revolt, a revolt by Greek Ionians against the Persian Empire in western Anatolia preceding the Greco-Persian Wars. en.wikipedia.org /wiki/Ionian   (226 words)

 Dave Leigh - Greek Alphabet Variations included instances where the same letter stood for more than one sound as well as instances where the same sound was represented by more than one letter. Numerals were represented in one of two ways. As with Roman numerals numbers were simply added together until the desired result is reached. www.cratchit.org /dleigh/alpha/greek/greek.htm   (604 words)

 Some Basics of Modal Harmony - Harmonies   (Site not responding. Last check: 2007-10-20) This sequence of triads never varies for the Dorian mode, and differs from the harmonized D Ionian mode only in that it begins on the 2nd note of the Ionian mode (E), and the D major triad which was the "I" chord in Ionian, becomes "VII" in Dorian. This sequence of Major, minor, and diminished triads never varies for the Mixolydian mode, and differs from the Ionian and Dorian modes in that it begins on the 5th note of the Ionian mode, and the A Major chord, which was the "V" chord in Ionioan mode is the "I" chord in Mixolydian mode. Again, this sequence doesn't vary, and it differs from the Ionian, Dorian, and Mixolydian modes in that it begins on the 6th note of the Ionian scale. www.celticmusic.com /magazine/9_16_97/modes3.html   (427 words)

 Guitar Nine Records - Guest Column: The Ionian Scale, Soloing, And Chord Substitution The seven chords for G Ionian are G Major 7th, A Minor 7th, B Minor 7th, C Major 7th, D7, E Minor 7, and finally, F# half diminished or Minor 7th flat 5 (we use both terms). The forrth degree of the Ionian scale is the key to all of music's tension and release, or what I call resolved and unresolved. Chords that don't contain C in their voicing are in the resolved category and those that do have the C either in their root, third, fifth or seventh are in the unresolved category (see example 3). www.guitar9.com /columnist244.html   (1363 words)

 [No title]   (Site not responding. Last check: 2007-10-20) Roman numerals are commonly used today in numbered lists, clockfaces, pages preceding the main body of a book, and the numbering of movie sequels. The use of Roman numerals today is mostly restricted to ordinal numbers, such as volumes or chapters in a book or the numbers identifying monarchs (e.g. Sometimes the numerals are written using lower-case letters, particularly if numbering paragraphs or sections within chapters, or for the pagination of the front matter of a book. www.brujula.net /english/wiki/Roman_numerals.html   (1867 words)

 numeral — FactMonster.com Their notation included advanced features such as positional notation and they had a symbol for zero before A.D. The numerals are made up of three symbols: zero (egg shape), one (a dot), and five (a horizontal bar). numeration - numeration, in mathematics, process of designating Numbers according to any particular system; the... Numerical Prefixes - Numerical Prefixes A prefix is a syllable at the beginning of a word. www.factmonster.com /ce6/sci/A0836175.html   (959 words)

 jordie - Free Modes and Scales Tutorial   (Site not responding. Last check: 2007-10-20) The seven modes are: Ionian (also known as the major scale), Dorian, Phrygian, Lydian, Mixolydian, Aeolian (also known as the relative or natural minor scale), and Locrian. Upper case Roman numerals are used to represent major chords while the lower case numerals are used to represent minor chords. Below is a table that represents the harmonized chords in the key of C major. www.jordie.com.au /tutorials/modes_scales.html   (471 words)

 More Info on roman numerals - - roman numeral - - roman numarals Roman numerals are commonly used today in numbered lists (in outline format), clockfaces, pages preceding the main body of a book, chord triads in music analysis, the numbering of movie sequels, and the numbering of some sport events, like the Super Bowls or Olympic Games. The lack of a zero digit prevented Roman numerals from developing into a positional notation, and led to their gradual replacement by Arabic numerals in the early second millennium. The film industry has used them perhaps since its inception to denote the year a film was made, so that it could be redistributed later, either locally or to a foreign country, without making it immediately clear to viewers what the actual date was. www.usgovernetics.com /Res-to-Ros/roman_numerals.php   (3313 words)

 Chops from Hell Guitar Site - Guest Columnist - Paul Nelson The forth degree of the Ionian scale is the key to all of music's tension and release. We can now divide the G Ionian scale into two categories: those chords which don't contain the C note in their tone centers (1357) and those chords which do. The beauty of this separation of columns is the realization of there being only 2 sounds not 7 chords in the key (also know as tension and release, or ying and yang or whatever else you want to call it). www.chopsfromhell.com /guest_nelson1.html   (1325 words)

 The Greek Number Converter This script converts modern Arabic numerals to the alphabetic (also referred to as the Ionian or Milesian) Greek number system. Note that three archaic letters, ϛ (digamma or stigma), ϙ (koppa), and ϡ (san or sampi) are used as digits, accompanied by the numeral signs ʹ and ͵. The digits are strung together in groups of four; an M preceeds the groups after the first, with an additional digit to indicate the power of the M. Using only a single power digit, this script works for numbers through 9,999,999,999,999,999,999,999,999,999,999,999,999,999. www.russellcottrell.com /greek/utilities/GreekNumberConverter.htm   (403 words)

 Music Theory for Computer Applications The numerals 6/4 (written vertically) indicated a second inversion (a sixth to the highest note, a fourth to the middle note). A chord can be built on each step of the major scale.  In harmonic analysis the scale degree on which a chord is built is usually identified by Roman numeral.  Chord built on these degrees also have names which describe their function in tonal harmony in a general way. The Roman numerals of functional harmony are written in lower case (i.e., i-v) when they signify chords considered (by virtue of their intervallic size and structure) to be minor. www.ccarh.org /courses/254/MusicTheory_ComputerApps2004.htm   (3271 words)

 Hexadecimal - ikiW In mathematics and computer science, base-16, hexadecimal, or simply hex, is a numeral system with a radix or base of 16, usually written using the symbols 0–9 and A–F or a–f. For example, the decimal numeral 79 whose binary representation is 01001111 can be written as 4F in hexadecimal (4 = 0100, F = 1111). The current hexadecimal system was first introduced to the computing world in 1963 by IBM. hexadecimal.ikiw.net /en/Hexadecimal   (105 words)

 UG Community @ Ultimate-Guitar.Com - Cant Think of any chord progressions. The perfect cadence goes from the 5th chord of a scale to the 1st chord, or the tonic chord. Ionian is the modal name for the Major scale, and Aeolian is the modal name for the Natural Minor scale. Minor chords are indicated by roman numerals in little letters. www.ultimate-guitar.com /forum/showthread.php?p=5124573   (2854 words)

 Worship Academy - Music Lessons Each note the key s given a number at the top, for example, the first note in the key of C is a C, and it is called the first (shown by the Roman numerals,) the second note, the D is the second, and so on. Each note is also given a name (above the numerals.) The first note of the scale is called the Ionian, the second the Dorian, and so on. Beginning on the fourth note of the major key gives us the Lydian mode, which in the key of C major goes: F, G, A, B, C, D, E. It is a major mode, similar to the major (Ionian) mode. www.worshipacademy.co.uk /music_lessons/lessons/music_modes.htm   (627 words)

 Harp On! Music Theory II   (Site not responding. Last check: 2007-10-20) Ionian mode is the Major scale, which described with digits is The value of the numeral indicates the note of the diatonic scale used as the chord root. If one were to apply the chord progression map to key of C Major, then I is the 1st chord starting with root note C, V is the 5th chord starting with the root note G. When roman numerals are in lower case e.g. www.angelfire.com /music/HarpOn/theory2.html   (4634 words)

 Scale use question I have read places that the ionian sounds major then the dorian a little bit minor the so on that they all sound a bit differnet but to me they sound the same. maybe they someway relate to the roman numerals i learned, meaning that those numbers represent which intervals you use on each scale (there are 13 different notes from root to octave) with this knowledge (using the roman numerals) scale intervals can be shown.. www.all-guitar-chords.com /topic.php?id=170   (824 words)

 Theory 5 The mode based on tonic to tonic (I to I) is the Ionian mode or major scale. So, if you change the arrangement of these half steps and whole steps, you get a different "sound" or "mode." If you were to play the scale From II - II in any major scale, you get the Dorian mode. You would be well advised to start thinking in terms of Roman numerals. www.saxlessons.com /theory5.htm   (269 words)

 Table 2   (Site not responding. Last check: 2007-10-20) For example, Ionian is represented as 2212221, where numerals stand for interval sizes. For example, Lydian 2221221 is more similar to Ionian 2212221, than to Phrygian 1222122. And the intervallic ordering of Melodic minor is similar to that of Ionian, and to that of Dorian. www.ethnomusic.ucla.edu /systematic/Students/Hiro/HPTable2.htm   (111 words)

 Part 2 The Roman Numerals are commonly used to show "scale steps", as it relates to a Major Scale: C = I, D = II, E = III, F = IV, G = V, A = VI, B = VII, C = I again. Meaning Ionian will ALWAYS be the first Mode of a Major Key, Dorian will ALWAYS be the second Mode of a Major Key, Phrygian will ALWAYS be the thrid Mode of a Major Key, and so on. The Roman Numerals are used the write out progressions that are Key Related, but not related to any key in particular. lessons.mikedodge.com /lessons/MusicTheory/Diatonic/DiatonicAll.htm   (4635 words)

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