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By contrast, in the European Equally Tempered Scale the octave is divide into twelve equal divisions, or exactly half as many as the Arab system. Thus the system is written in European Musical Notation using a slashed flat for Quarter Flat , a flat for half-tone Flat , a slashed flat and a flat for Three-quarter Tone Flat , sharp with one vertical line for Quarter Sharp , sharp (#) for half-step Sharp , and a half sharp and a sharp for Three-quarter Sharp . A two octave range starting with ''yakah'' arbitrarily on the G below middle C is used. (ibid, p.24) In practice far fewer than twenty-four tones are used in a single performance. All twenty-four tones are individual pitches differentiated into a Hierarchy of important pitches, "pillars", which occur more frequently in the Tone Row s of traditional music and most often begin tone rows, and scattered less important or seldom occurring pitches (see Tonality ). (ibid, p.24-25). The specific notes used in a piece will be part of one of more than seventy Mode s or Maqam rows named after characteristic tones which are rarely the first tone (unlike in European-influenced music theory where the Tonic is listed first). The rows are Heptatonic and constructed from Augmented , Major , Neutral , and Minor Second s. Many different but similar ratios are proposed for the frequency ratios of the tones of each row and performance practice, as of 1996, has not been investigated using electronic measurements. (ibid, p.18) Actual practice is estimated to vary within a quarter tone from notation. The current tone system is derived from the work of Al-Farabi (d. 950 CE) (heptatonic scales constructed from seconds) who used a 25 (unequal) tone scale (see Tetrachord ), with Mikha'il Mishaqah (1800-1889) first presenting the 24 tone equal tempered division. (ibid, p.19) SOURCE
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