Polychords and the Jazz Improviser: How to Practice & Apply Polychords to ImprovWritten by Andrew Hanna
In world of music, many Jazz improvisers and Classical composers eventually venture into exploring polyharmony within their respective art form. Poly harmony is simultaneous sounding of more than one harmonic concept. The preponderance with polyharmony began late 19thearly 20th centuries with classical composers as Stravinsky and Debussy. About sixty years later, jazz musicians as John Coltrane and Richie Bierach incorporated such ideas into their music. The benefits of learning polychords will enhance an improviser’s repertoire of harmonic concepts. Thus they can create harmonic colorings that can influence a listener’s outlook. This article will focus on how once can practice and incorporate tertian polychords into their improvisational styles. Many of examples and references within this article will make use of seventh chord and triad. One should to explore other tertian harmonies such as ninths, elevenths, and all other similar formulations. Tertian harmony is harmony that spaces its notes a third a part from other notes. Additionally, tertian harmony includes harmonic inversion of thirds. Before one begins their exploration into polychords, one should be familiar with tertian harmony in its simplest terms of inversions and through a few applied patterns. From this understanding of tertian harmony through inversions and patterns and after one has accomplished or, in least, feels comfortable with tertian harmony, one should then attempt to combine more than one chord. The first step in gaining an understanding tertian ploychords is to write triads and 7th chords in a formulaic fashion. For example, begin by writing each major chord a major second apart (i.e. CmajDmaj, EbmajFmaj, etc.) After writing these series of chords, write out triads that are minor third apart. For example: EbmajGbmaj, AmajCmaj, and all other similar progressions. As one can see from two previous examples, one should continue this process until one has exhausted all permutations of triad progression. In a similar fashion, one should continue this writing exercise with seventh chords. The purpose to this writing exercise is for musician/composer to develop a visual and intellectual connection to concepts that they will use in a open/free musical environment.
  How to improve your odds of winning the lotto by millions.Written by Ed Flowers
Odd or Evens in Powerball and Megamillions lotteryor How to improve your odds of winning lotto by millions. One factor to consider in picking your Powerball or Megamillion lottery numbers is ratio between odd / even lotto numbers. Looking at past history of all lottery games there appears a pattern that shows you would be better off by not playing all odd or all even numbers. Example of playing all even numbers 2.4.6.20.40 example of playing all odd balls 3.11.21.35.47 For 462 Megamillion lotto games reviewed at www.needto.net lotto site, ratios were Odd/even combo analysis ******************************************************* play mix hits 5 odd 0 even 13 as a percentage 2.81 % 4 odd 1 even 63 as a percentage 13.64 % 3 odd 2 even 142 as a percentage 30.74 % 2 odd 3 even 163 as a percentage 35.28 % 1 odd 4 even 67 as a percentage 14.50 % 0 odd 5 even 14 as a percentage 3.03 % *****************************************************************
