1,215 Royalty-Free Audio Tracks for "15 Equal Temperament Intervals"

Sonata no. 15 in d major, op. 28 'pastorale' - iv. rondo. allegro, ma non troppo

*Pythagorean diminished fourth on C = F♭-- (Ben Johnston's notation). 8192:6561 = 384.36 cents. Limit: 3-limit.

Miracle scale, derived from the secor (s = 116.72 cents), plus the difference between 10 secors and a perfect octave (q = 32.84 cents). MIDI pitch bend appears to match intervals. The Miracle scale is 0 1 2 3 4 5 6 7 8 9 0' s s s s s s s s s s+q The difference between s and q (r) is used in the File:Blackjack scale.mid.

Blackjack scale, derived from the secor (s = 116.72 cents), the difference between 10 secors and a perfect octave (q = 32.84 cents), and the difference between that and a secor (r = s-q = 83.88 cents). MIDI pitch bend appears to match intervals. If the Miracle scale is 0 1 2 3 4 5 6 7 8 9 0' s s s s s s s s s s +q q +r q +r q +r q +r q +r q +r q +r q +r q +r q +r +q then the Blackjack scale is 0 >0 1 >1 2 >2 3 >3 4 >4 5 >5 6 >6 7 >7 8 >8 9 >9 <0 0' q r q r q r q r q r q r q r q r q r q r q

Sonata no. 15 in d major, op. 28 'pastorale' - ii. andante

Sonata no. 15 in d major, op. 28 'pastorale' - ii. andante(1)

Sonata no. 15 in d major, op. 28 'pastorale' - i. allegro

Piano Sonata nr.15 in D major op.28 "Pastoral" - II. Andante by Karine Gilanyan

Sonata no. 15 in d major, op. 28 'pastorale' - iii. scherzo. allegro vivace

The range of a Jew's harp as string harmonics:“By using the cavity of the mouth as a resonator, each harmonic in succession can be isolated and reinforced, giving the instrument the compass shown. The lower harmonics of the series cannot be obtained, owing to the limited capacity of the resonating cavity. The black notes on the stave show the scale which may be produced by using two harps, one tuned a fourth above the other.” This file plays harmonics 4, 5, 6, 7, 8, 9, 10, 11, and 12.

I created this file myself (using Sibelius, Windows Sound Recorder, and Audacity) to illustrate the concept of interval class.

Piano Sonata no. 15 in D major op.28 "Pastoral" - I. allegro by Karine Gilanyan

Klaviersonate Nr. 15 D-Dur op. 28 Pastorale, IV. Rondo -Allegro ma non troppo

Triad in Bohlen-Pierce tuning (0 7 10). Title refers to number of semitones (unison=0).

Klaviersonate Nr. 15 D-Dur op.28 Pastorale - II. Andante

BP chromatic scale et. MIDI pitch bend appears to match intervals.

Triad in Equal Tempered Bohlen-Pierce tuning (0 6 10 semitones). Title refers to harmonics (fundamental=1:3:9:etc.).

Klaviersonate Nr. 15 D-Dur op. 28, “Pastorale” - I. allegro

Melodic and harmonic intervals. Created by Hyacinth (talk) 15:19, 18 March 2011 (UTC) using Sibelius 5.

A chorale melody containing only steps, no skips: "Jesu, Leiden, Pein, un Tod".

*Augmented octave and diminished unison on C = C♯. Equal-tempered: 21/12:1 = 100 cents. MIDI pitch bend: none Note how the diminished unison is essentially equivalent to the augmented unison.

Minor tenth on C - As MIDI

*Major ninth on C = D'. Equal-tempered: 214/12:1 = 1400 cents. MIDI pitch bend: none

Octave and Minor third on C

5 25 {\displaystyle {\sqrt[{25}]{5}}} = 5:11/25 = 111.45 cents. Interval used in Stockhausen's Studie II, a compound just major third (5/1) divided into 25 equal parts.

Major thirteenth on F

*Major tenth on C = E'. Equal-tempered: 216/12:1 = 1600 cents. MIDI pitch bend: none

Minor thirteenth on F, as MIDI

Simple and compound major third (major third and major tenth).

Triad in Equal Tempered Bohlen-Pierce tuning (0 4 7 semitones). Title refers to harmonics (fundamental=1:3:9:etc.).

Triad in Equal Tempered Bohlen-Pierce tuning (0 4 10)

Lambda mode diatonic scale in Bohlen-Pierce tuning (Equal Tempered)

Klaviersonate Nr. 15 D-Dur op.28 Pastorale - III. Scherzo (allegro vivace)

*Septimal kleisma on C. Just: 225/224 = 7.71 cents. Limit: 7-limit. MIDI pitch bend: 60,66

*Chromatic diesis on C. Just: 27:26 = 65.34 cents. Limit: 13-limit. MIDI pitch bend: 116,52

*Breedsma on C = E♭♭♭+. Just: 2401:2400 = 0.72 cents. Limit: 7-limit. MIDI pitch bend: 30,64

*Ragisma on C = C♯-. 4375:4374 = 0.396 cents. Limit: 7-limit. MIDI pitch bend: 16,64 SAME PITCH BEND AS File:Decameride on C.mid

Melodic perfect fifth descending.

*Golden ratio on C. 1.6180339887498948482 (φ) = 833.0902963567409 cents. MIDI pitch bend: 75,74

Melodic perfect fifth ascending.

Kimiko Ishizaka - Bach- Well-Tempered Clavier, Book 1 - 30 Fugue No. 15 in G major, BWV 860

Kimiko Ishizaka - Bach - Well-Tempered Clavier, Book 1 - 29 Prelude No. 15 in G major, BWV 860

Kimiko Ishizaka - Bach- Well-Tempered Clavier, Book 1 - 29 Prelude No. 15 in G major, BWV 860

Kimiko Ishizaka - Bach - Well-Tempered Clavier, Book 1 - 30 Fugue No. 15 in G major, BWV 860

*Unison on C = C. Just: 1:1 = 0 cents. Equal-tempered: 20/12:1 = 0 cents. Limit: 3-limit.

*Undecimal neutral second comma on C. 121:120 = 14.37 cents. Limit: 11-limit.

Just perfect fifth on D = A+. 3:2 = 701.96 cents.

*Undecimal seconds comma on C = Cb↑↑- (Ben Johnston's notation). Just: 121/120 = 14.37 cents. Limit: 11-limit. MIDI pitch bend: 76,68

*255th subharmonic on C = D-. Just: 256:255 = 6.78 cents. Limit: 17-limit. MIDI pitch bend: 21,66

*Septimal diesis on C = D♭ (Ben Johnston's notation). 49:48 = 35.7 cents. Limit: 7-limit. MIDI pitch bend: 54,75