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  2. Nashville Number System - Wikipedia

    en.wikipedia.org/wiki/Nashville_Number_System

    In the key of B ♭, the numbers would be B ♭ =1, C=2, D=3, E ♭ =4, F=5, G=6, A=7. The key may be specified at the top of the written chord chart or given orally by the bandleader, record producer, or lead singer. The numbers do not change when transposing the composition into another key. They are relative to the new Tonic.

  3. Chord chart - Wikipedia

    en.wikipedia.org/wiki/Chord_chart

    Nashville notation or Nashville Number System [2] is a method of writing, or sketching out, musical ideas, using numbers in place of chord names. For example, in the key of C major, the chord D minor seventh can be written as "2− 7", "2m 7", or "ii 7". "The musicians in Nashville use the Nashville Number System almost exclusively for ...

  4. Chord progression - Wikipedia

    en.wikipedia.org/wiki/Chord_progression

    A common chord progression with these chords is I-♭ VII–IV-I, which also can be played as I-I-♭ VII–IV or ♭ VII–IV-I-I. The minor-third step from a minor key up to the relative major encouraged ascending scale progressions, particularly based on an ascending pentatonic scale. Typical of the type is the sequence i–III–IV (or iv ...

  5. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    The Pythagorean scale is any scale which can be constructed from only pure perfect fifths (3:2) and octaves (2:1). [5] In Greek music it was used to tune tetrachords, which were composed into scales spanning an octave. [6] A distinction can be made between extended Pythagorean tuning and a 12-tone Pythagorean temperament.

  6. Ptolemy's table of chords - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_table_of_chords

    For tiny arcs, the chord is to the arc angle in degrees as π is to 3, or more precisely, the ratio can be made as close as desired to ⁠ π / 3 ⁠ ≈ 1.047 197 55 by making θ small enough. Thus, for the arc of ⁠ 1 / 2 ⁠ °, the chord length is slightly more than the arc angle in degrees. As the arc increases, the ratio of the chord to ...

  7. Coltrane changes - Wikipedia

    en.wikipedia.org/wiki/Coltrane_changes

    Precisely because of this equidistancy, the roots of these three chords can produce a destabilizing effect; if C, A ♭ and E appear as the tonic pitches of three key areas on a larger level, the identity of the composition's tonal center can only be determined by the closure of the composition. —

  8. Leibniz formula for π - Wikipedia

    en.wikipedia.org/wiki/Leibniz_formula_for_π

    In mathematics, the Leibniz formula for π, named after Gottfried Wilhelm Leibniz, states that = + + = = +,. an alternating series.. It is sometimes called the Madhava–Leibniz series as it was first discovered by the Indian mathematician Madhava of Sangamagrama or his followers in the 14th–15th century (see Madhava series), [1] and was later independently rediscovered by James Gregory in ...

  9. Is This the World We Created...? - Wikipedia

    en.wikipedia.org/wiki/Is_This_the_World_We...

    The song was written in the key of B minor, [3] but the recording sounds one semitone lower. The song was performed at Live Aid as an encore, with additional instruments and arrangements in the last part; changes were also present in the vocal line. A month before their Live Aid appearance, "Is This the World We Created…?"