Bill Powelson's,
MUSICAL TIME & RHYTHMS:

"FINITE TO INFINITY"

Understanding
Time-Signatures and Beat Permutations.


*** Lesson Menu ***

Study the following (seven) stair-stepped-lessons, in the exact order they appear.

  • LESSON #1. THE 5-BASIC 4/4 DANCEBEATS.
    (These are the extremely important, common, everyday, time-signature beat structures.)

      FIRST THINGS FIRST: It's very important to gain a working knowledge of the 5-Basic 4/4 Dancebeats. Learn to 'routinely' identify them as you listen to music, on your own CDs, the radio, and all other media. This is equally important for non-drummers. It's very easy. Most of you will get the hang of it in minutes.

    • DRUMMERS: Can you already play these beats ALONG WITH almost any song as you listen, (though you may not play the songs 'exactly' like the recordings?)

    • NON-DRUMMERS (Song writers, guitarists, etc:) It's important that you should gain the ability to 'hear and feel' these basic beat structures within the music as you listen and/or play. You don't have to be a drummer to do this! It's easy as pie! Learn to do it in this lesson. Just listen to the sound files and gain the ability to recognize, then call each beat structure by name.

      You've heard these patterns before, countless times, in the music you enjoy every day. Now, learn to listen this new way, identifying the specific beat structures by name, and visualizing the underlying beat structures, as you listen.

      NOTE: Many times, the hi-hat (or secondary pulse) may actually become a repeating Arpeggio, on instruments, OTHER than drums.

    FACTOID: Approximately 95% of ALL the recorded music of the past 75 years, has been based in these simple, 5 BASIC DANCEBEATS.

    • ALL STUDENTS:
      It is good to write and doodle simple variations of the beat patterns as you hear them being played on recordings. Begin experimenting with pen or pencil, and simple 'Xs' on paper.

      • Listen to a recording.
      • Determine the basic beat flow and structure by feeling the hi-hat flow (or secondary pulse.)
      • Determine the bass/snare (downbeat/upbeat) as compared to the hi-hat flow.
      • Write what you are hearing, by imitating the 3-line beat structures you'll see and learn in this lesson.

      It's that simple! You'll get good at doing this, with just a little practice. The remaining lessons in this mini-course are also designed to help you eventually become a master at visualizing, then writing any rhythm or beat pattern that may exist.

      Have you ever wondered exactly, 'how many' potential beat-variations exist? (Yes!There IS a specific, finite number of possibilities!

      HAVE YOU EVER WONDERED . . . ?

      • How many of these beats, have been used and popularized on recordings? (Ans: Very few!)
      • How many, have NEVER been used or popularized in pop-music styles? (Ans: MOST of them!)
      • Is there a formula to help separate the useful beat patterns, from the less useful patterns? (Ans: YES!)

      It's important to ask yourself these questions! Yet, you are about to make some very huge discoveries concerning them, by the end of this mini-course.

  • LESSON #2. NOTE VALUES, TERMINOLOGY, AND MUSIC SYMBOLS:
      Do you understand the mechanics of the note-value system?  A deeper study and 'total comprehension' of note values may be necessary, or you could experience trouble, as you try to visualize the big rhythm picture, within the upcoming time-signature lesson.  We need these note-value tools to help detonate the big bomb that will follow. Though it's a little dry and boring, don't miss it!

      QUESTION: (Test yourself.)

        Could you start (in a very slow tempo) and play whole-notes through at least 16th-notes, without losing or changing the tempo?  You needn't be extremely fast at this . . . but the 'note value concept' is vital to learning the other more important things I want to show you.  (Try to play the notation 'tab', near the bottom of this lesson, from memory. It will be quick and easy, if you already know your stuff.

    • NON-DRUMMERS: Guitarists, song-writers, etc. You needn't worry about playing the drum-tabs as a drummer would. Just make the mental connections, and understand those connections as they apply to your own instrument, (or instruments.)

      Or . . . play around with the drum machine program that's included with this course. Look for drummer.exe in the files.

  • LESSON #3. PERMUTATIONS: Parts I & II.
      BE CERTAIN you thoroughly understand the PERMUTATION concept.  It's vital towards helping you see the much bigger picture within the upcoming time-signature lesson. This material is rarely taught in music theory.

      MATH BUFFS and computer programmers may already have a general idea concerning the musical-implications of these concepts, yet it will be wise to visualize exactly, the very simple and practical way it all connects to the music we hear playing around us every day, on CDs, radio, etc.

      NON-MATH-BUFFS: Don't worry! We won't be studying the fine points of 'Linear Algebra', here. It'll be totally clear, without seeing even one equation, Algebraic-formula or finite-math problem.

      STUDY BOTH PERMUTATION LESSONS, until you can visualize, thousands, even millions or billions of 8th rock beats within your mind's eye. Write a few of these real beats on paper. Play around with them! The more we think, the bigger this gets! But, this is only the TIP of the Iceberg. This is the stuff that explodes the time-signature formulas. It will detonate later. However, this lesson will expand your 'rhythmic knowledge base' by several billion beat possibilities now . . . and we'll multiply this knowledge exponentially by a factor of another trillion (or so) as we connect these same principles to all the time-signature formulas, and their respective note-value modifications.

  • LESSON #4. WALTZ: (The 5 Basic Waltz structures.)
      This is your bridge to infinite rhythmic wisdom. Here, we begin to comprehend the odd, time-signature structures.

      Waltz seems like such a square and boring beat pattern, but it isn't at all.  It's a bridge, or stepping-stone into the entire rhythmic universe.  Be well aware of ALL the different forms of Waltz, and how the Waltz beats are affected by the permutation theories you've just learned above.  See those connections!  See the way the 5 basic WALTZ beats (in 3/4), mimic the 5 basic COMMON dancebeats (in 4/4.) That's the important thing! They're both based within the same note-value framework, and that's a very important clue to all the other (odd/even) time-signature structures to follow.  Everything odd (ie; 5/4, 7/4, 9/4 etc.), follows this same 3/4 pattern of note-value modifications and permutations! This awareness above, will be crucial to the eureka moment you are about to experience as you study time-signatures, with each of those previously mentioned elements in full view.

  • LESSON #5. TIME-SIGNATURES: (1/1 to 64/64.)
      NOW . . . we're ready to explode the big bomb.

      Visit the time-signature lesson and study it with the objective of implanting every possible beat and/or every beat variation in the known musical universe, into your own mind . . . all in one sitting.

      Think a minute about what I just said . . . 
      It could happen within the next 5-minutes to 5-days. Much will depend on the amount of thought you devote to this project!

      This knowledge will leave you bewildered once you've totally absorbed it.  It should astound you completely! If it doesn't, there's something really wrong. It's an indication that you just don't see it at all. Sometimes, students may need to read the Time-Signature lesson several times, and think for several days . . . before the obvious simplicities become apparent.  This should become the most exciting musical knowledge you've ever gained in your life! Especially, with such 'little' effort. If you don't agree, it is an indication that the bomb didn't explode. You didn't get it! Study it again! Connect ALL the dots! It will happen! THINK, EXPERIMENT, AND EXPLORE!

      This awareness is relative to several years of advanced rhythm theory classes in college, and you can have it in three or four days (maybe a few minutes) . . . just by thinking about it.  What I'm telling you isn't sales hype.  I'm not trying to sell you!  I just trying to be sure you haven't missed it.

      YOU MAY MISS IT . . .

      • If, you do not adequately understand the note-value system.
      • If, you do not adequately appreciate the 5 basic beats in 4/4.
      • If, you can't accurately visualize and connect permutation theories to all time-signatures.
      • If, you do not connect the bridge between the 3/4 and the 4/4 basic beat structures.

      It's easy to miss any one of the above factors! The failure to connect any of the above, will lessen the much larger-picture immensely!

      Let's face it. We're all a little 'mentally lazy' unless we know that our mental efforts will pay-off in a big way.  This should pay-off in a very big way, now that we've laid the proper ground-work! Study it! Play with the possibilities on paper. Actually 'PLAY' what you've written! Hear it! Feel it! Play your ideas on a real drumset, preferably, or on a drum machine, or simply tap the possibilities on your desktop. Then . . . make it work the same way on ANY other instrument.

      NON-DRUMMERS (TIP): Build chord-progressions around the patterns you'll see and learn. Test the new rhythm structures you'll find, by composing songs around them. Add a haunting melody to the new beats, insert some meaningful lyrics, and do some serious innovating of your own. Many times, the hi-hat (or secondary pulse) may actually become a repeating Arpeggio or soft background rhythm, on instruments, OTHER than drums. That's important to remember.

      The time has come for you to create some original music! Generate music that's totally new and diverse! There's plenty of room for everyone to become an innovator . . . as each of these virtually endless possibilities, becomes apparent.

  • LESSON #6: There's more! What about all the other X/X signatures?

      STILL . . . MORE HELP . . . (TIME-SIGNATURES OTHER THAN X/4.)
      Once you've absorbed the first five lessons . . . there may still be some lingering questions in your mind, (if you are doing all the necessary 'thought'.) 

      There may be a need for a few more lessons to help clear up those lingering questions, like . . .

      "What is '16th-note 7/8', etc.?"

      This lesson will hopefully put the cherry on the top of this whole thing.

  • LESSON #7: Final Thoughts . . .

    This knowledge should, (maybe someday will be) the Holy Grail of all rhythmic knowledge. It's really the brass-ring, once totally absorbed and appreciated. I can't understand why it isn't taught at the elementary (or college) music-levels already.

    * Intro / Main Menu / Lesson #1 / Lesson #2 / Lesson #3 / Lesson #4 /
    Lesson #5 / Lesson #6 / Final Thoughts / Permutation Calculator *


    Copyright Bill Powelson 1985-2xxx all rights reserved.