Mode

Examples of Mode in the following topics:

• Mode

  • The mode is the most commonly occurring value in a distribution.
  • There are three main measures of central tendency: the mode, the median and the mean .
  • The mode is the most commonly occurring value in a distribution.
  • There are some limitations to using the mode.
  • The presence of more than one mode can limit the ability of the mode in describing the center or typical value of the distribution because a single value to describe the center cannot be identified.

• Other Non-Western Modal Musics

  • Some of these have modes similar to the medieval Church modes; they also tend to be a list of notes (or a pattern of intervals) used with a specific finalis, which may encourage certain types of melodies.
  • While the church mode/jazz mode tradition features diatonic modes (which can be played using only the white keys of a piano), non-Western modes may use other types of scales.
  • In other music traditions, modes are much more like Indian ragas, featuring important variations in tuning and melodic expectations from one mode to the next, so that each mode may be seen as a collection of related melodic ideas, phrases, and ornamentations that are traditionally played with a certain set of notes tuned in a certain way.

• Pictures of Modes

  • I'll conclude this chapter with some pictures of real modes.
  • Figure 2.6 shows two modes of such a shape visualized by dropping sand.
  • Figure 2.7 shows a different visualization of a mode of the stadium.
  • Figure 2.6: Chladni figures of two normal modes of a stadium plate.
  • The mode on the left has a frequency of 1754 Hz and the one right 2116 Hz.

• Skewness and the Mean, Median, and Mode

  • The mean, the median, and the mode are each 7 for these data.
  • This example has one mode (unimodal) and the mode is the same as the mean and median.
  • In a symmetrical distribution that has two modes (bimodal), the two modes would be different from the mean and median.
  • The mean is 6.3, the median is 6.5, and the mode is 7.
  • The mean is 7.7, the median is 7.5, and the mode is 7.

• Modes and Ragas

  • Please see Modes and Ragas for more information.

• Introduction

  • Compare this to the two church modes.
  • The result is that music in one mode would sound quite different than music in the other mode.
  • You can't simply transpose music from one mode to another as you do with scales and keys; modes are too different.
  • Compare this to the two church modes.
  • The result is that music in one mode would sound quite different than music in the other mode.

• The Medieval Church Modes

  • Notice that no church modes began on A, B, or C.
  • This is because a B flat was allowed, and the modes beginning on D, E, and F, when they use a B flat, have the same note patterns and relationships as would modes beginning on A, B, and C.
  • After the middle ages, modes beginning on A, B, and C were named, but they are still not considered church modes.
  • But the Dorian mode, for example, didn't have to start on the pitch we call a D.
  • These modes are part of the same theoretical system as the church modes, but they were not used in the middle ages.

• Two-mode factions analysis

  • Networks>Subgroups>Factions fits this block model to one-mode data (for any user-specified number of factions).
  • Network>2-Mode>2-Mode Factions fits the same type of model to two-mode data (but for only two factions).
  • Network>2-Mode>2-Mode Factions applies the same approach to the rectangular actor-by-event matrix.
  • Figure 17.17 shows the results of the two-mode factions block model to the participation of top donors in political initiatives.
  • Two mode factions model of California $1M donors and ballot initiatives (truncated)

• Modal Jazz and Folk Music

  • Use the list of "white key" modes in Figure 6.10 to figure out the following information for each of the four modes below.
  • In this mode, which scale tones are raised or lowered from the major key?
  • Write one octave of notes in this mode.
  • Looking at Figure 6.10, you can see that the Lydian mode starts on an F.
  • Therefore the fourth degree of the Lydian mode is raised one half step.

• An Example

  • Here is a simple piece of Mathematica code that will draw the modes of a rectangular plate.
  • And in Figure 2.3 is a 3D perspective view of one of the modes.