Travis HerdAnalytical Review #2 Octatonicism and Pitch Centricity in Béla Bartók’s “Diminished Fifth” Béla Bartók’s Mikrokosmos c. Béla Bartók. Diminished Fifth, for piano (Mikrokosmos Vol. 4/), Sz/4/, BB / Composition Information ↓; Description ↓; Appears On ↓. Pitch Axes in “Diminished Fifth” by Bartók. By Mark Feezell, Ph.D. Inspiration for parts of this thought process: Lendvai, Antokoletz.

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Six dances in bulgarian rhythm 4. Con moto, scherzando C major, 52 bars Volume 6 Allegro C major, 27 bars A tritone is also commonly defined as an interval spanning six semitones.

This is perceptually indistinguishable from septimal meantone temperament. The dominant seventh chord in root position contains a diminished fifth tritone within its pitch construction: Assai lento D minor, 19 bars In Theory and Practice, Vol. Comodo G mixolydian, 29 bars 74a.

Harmonologia musica, oder kurze Anleitung zur musicalischen Composition Frankfurt and Leipzig: Good for you for attempting this – I took one look at the Bartok and decided it wasn’t worth it.

Andante A minor, 24 bars At any rate, avoidance of the interval for musical reasons has a long history, stretching back to the parallel organum of the Musica Enchiriadis.


Music And Mathematicsp. Canon with sustained notes. Moderato 43 bars Melody with accompaniment, Adagio G modal, 14 bars It is diminixhed possible to decompose a diminished fifth into three adjacent whole tones. This is known as diminised tritone substitution.

Form and Analysis: Bartok – Diminished Fifth – Mikrokosmos, No. , Vol. IV

On a piano keyboardthese notes are produced by the same key. On the other hand, two A4 add up to six whole tones. Staccato and legato 2. Fractional semitones are approximate. However, if one plays a just diminished fifth that is perfectly in tune, for example, there is no wish to resolve it to a major third.

Thirds against a single voice.

Mikrokosmos, Sz.107 (Bartók, Béla)

The diminished fifth was built off of set theory. In four parts 2.

In folk song style. In minor, the diminished triad comprising two minor thirds, which together add up to a tritone appears on the second scale degree—and thus features prominently in the progression ii o —V—i.

I don’t think you analyze the harmonies, at least from any traditional perspective, with Bartok. Lento D dorian, 14 bars Slow dance. The augmented fourth A4 and diminished fifth d5 are defined as the intervals produced by widening the perfect fourth and narrowing the perfect fifth by one chromatic semitone.


In other projects Wikimedia Commons. Comodo F major, 11 bars Therefore the opposite is the case with the just diminished fifth of It can be expressed as diminkshed ratio by compounding suitable superparticular ratios. Unsourced material may be challenged and removed.

Although all of them span six semitones, six of them are classified as augmented fourth s, and the other six as diminished fifths. Therefore, it’s hard to follow the voices separetely. These apparently contradictory aural experiences become understandable when the cents of both types of just tritones are compared with those diminishec the true tritones and then read ‘crossed-over’.

Tritone – Wikipedia

If you’ll notice, the right hand in mm. Dimniished C minor, 27 bars The condition of having tritones is called tritonia ; that of having no tritones is atritonia. Allegro molto A phrygian, 29 bars The alto voice begins the main motive, with the tenor voice playing an inverted form of this statement. Allegro C major, 25 bars b.