25 Essential Rock Bass Classics (Bass Recorded Versions) by Hal Leonard Corp.

By Hal Leonard Corp.

(Bass Recorded Versions). 25 songs each bassist may still recognize, together with: one other One Bites the dirt * Badge * Come jointly * Crossroads * Detroit Rock urban * loose experience * Funk #49 * whats up Joe * Iron guy * Low Rider * funds * My iteration * proprietor of a Lonely center * Peg * begin Me Up * candy Emotion * extra.

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In the case of Note, it takes two arguments, whose types are Dur and Pitch, respectively, whereas Rest takes one argument, a value of type Dur. In other words, the types of Note and Rest are: Note :: Dur → Pitch → Primitive Rest :: Dur → Primitive CHAPTER 2. SIMPLE MUSIC 31 For example, Note qn a440 is concert A played as a quarter note, and Rest 1 is a whole-note rest. This definition is not completely satisfactory, however, because we may wish to attach other information to a note, such as its loudness, or some other annotation or articulation.

These number systems possess many useful properties, such as the fact that multiplication and addition are commutative, and that multiplication distributes over addition. You have undoubtedly learned many of these properties in your studies, and have used them often in algebra, geometry, trigonometry, physics, and so on. Unfortunately, each of these number systems places great demands on computer systems. In particular, a number can in general require an arbitrary amount of memory to represent it.

Thus: hList d (p : ps) = hNote d p :+: hList d ps Note that this part of the definition of hList is recursive—it refers to itself! But the original problem—the harmonization of p : ps—has been reduced to the harmonization of p (previously captured in the function hNote) and the harmonization of ps (a slightly smaller problem than the original one). CHAPTER 1. COMPUTER MUSIC, EUTERPEA, AND HASKELL 21 Combining these two equations with the type signature yields the complete definition of the function hList: hList :: Dur → [Pitch ] → Music Pitch hList d [ ] = rest 0 hList d (p : ps) = hNote d p :+: hList d ps Recursion is a powerful technique that will be used many times in this textbook.

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