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For an academic study, I am planning to find the effect of the notes at which the melody changes its direction.

So, for example in a melody like: C3 G3 F3 D3 E3

G3 and D3 are those notes that I am interested in, because the notes next to G3 are both lower than it, and similarly, the notes next to D3 are both higher than it.

So, is there a name for such notes, for example elbow note maybe?

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    Tunes change direction so frequently, there would be hundreds of 'elbow notes' involved. Idon't think the direction of pitch itself will have much effect. Be interesting to prove/disprove. – Tim Apr 19 '17 at 9:11
  • This is somewhat unrelated to your question, but it may be interesting to take musical phrasing into account as well. For example, do direction changes between phrases behave differently to direction changes within a phrase? – endorph Apr 19 '17 at 13:32
  • @Tim In fact, there is an effect. In their study called "Strategies in memory for short melodies ...", Taylor and Pembrook (1983) used 5-tone melodies and measured how participants recalled each note. There were many predictors of melody recall such as the interval before the "elbow" tone. Another example is whether the melody is ascending or descending (without elbow) did have an effect. – ThePortakal Apr 19 '17 at 13:48
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In most theories of music, the concept doesn't have enough value to be worth naming. Of course if your research shows that the concept does have some value, you can therefore name it yourself!

On a short timescale (two or three notes), the term Cambiata is used, especially in polyphonic music.

On a long timescale, terms like "climax of a phrase" (or of a piece) express the general idea, but may include other aspects of the music, such as dynamics, texture, or instrumentation.

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Some possibilities:

  • "local peaks and valleys" is used on page 61 of David Temperley's "Music and Probability";
  • "local high tones" is used on page 91 of David Lewin's "Generalized Musical Intervals and Transformations";
  • "local maxima" can be found here and here, among other places.

We also talk about "extremes of range," so perhaps you could discuss "the local extreme of G3." The problem here is that clarifying "the local upper extreme" starts to be linguistically cumbersome.

And since you're focusing on pitches "at which the melody changes its direction," maybe you should use terminology that emphasizes that instead?

  • Can you please name one/some of those music theorists and their books? I may want to reference those books. – ThePortakal Apr 19 '17 at 13:17
  • "Local maxima" reminds me of another mathematical term "inflection point" which would also seem appropriate for these notes. (There's at least one usage of it in a musical context here). – hopper Apr 19 '17 at 17:06
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For notes that aren't part of the underlying chord progression, https://en.m.wikipedia.org/wiki/Nonchord_tone has names of several types of "elbow notes", such as Neighbouring Tone (approach and leave by step) and Appoggiatura (approach by leap, leave by step, accent the "elbow note").

The above doesn't 100% answer the question, but it's possible that music theorists generally aren't interested in the generalized "elbow note" because of ubiquity problems like Tim mentioned.

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Toch ("The Shaping Forces of Music") describes melodies as being wave-like with successions of higher and lower waves. This suggest the terms "peak" and "trough" for such notes. I think I have seen the terms "highs and lows" used, but that may be overworked.

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In general you wouldn't single out these pitches, but they would be apart of the contour or shape of the melody. There's a lot of detail you can get based on the contour of the piece and the basic contours you can have are:

Ascending

First pitch lower than middle pitch. Middle pitch lower than last pitch.

Descending

First pitch higher than middle pitch. Middle pitch higher than final pitch.

Concave

First and last pitch higher than middle pitch.

Convex

First and last pitch lower than middle pitch.

Horizontal

First, middle, and last pitch, roughly equivalent in range.

source

As you break down the contour into bigger or smaller pieces these notes will stand out as will the lower notes on the other end of the spectrum, but there's no reason to call them anything fancy. The reason why is the contour itself is much more important the individual notes that make it up. The most you'll ever see them called is a climax and if you're really specific a local climax.

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I don't think there is a universal term for this, though Philip Ball uses the term "reversal" in his book "The Music Instinct".

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If you were wanting to break new ground, here are two suggestions: 1.For medievalists, perhaps acme localis 2.For cutting edge-ists there is (as of now I think) the nonce word locacme, derived from 1.

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