# Microtonal Music & Theory by Claudi Meneghin

## 2024-05-06

### Micro-Fugue on Happy Birthday for Baroque Ensemble [Rameau OT]

A short 5-part Micro-Fugue on "Happy Birthday" (a tune which is now in the public domain) in Bb, for Recorder, Oboe, Clarinet, Bassoon, Trombone. Tuning is Rameau's Tempérament Ordinarire (Ordinary Temperament), a circulating temperament generated by 7 meantone fifths (as large as 697 ¢) and five sharp fifths (as large as 704.2 ¢), then rounded to integer values. The cent figures of the tuning are: 101 ¢ 194 ¢ 295 ¢ 388 ¢ 496 ¢ 596 ¢ 697 ¢ 798 ¢ 891 ¢ 992 ¢ 1092 ¢ 1200 ¢.

## 2024-04-29

### Orwell Canon 3 in 1 upon a Ground for Baroque Oboe, Viola, Clarinet, and Viola da Gamba

A 3-in-1 Canon upon a Ground for Baroque Oboe, Viola, Clarinet, and Viola da Gamba, in the Orwell tuning. The tuning is defined by the just perfect twelfth (3/1) being divided into 7 equal steps. One of these steps (as large as 271,71 ¢) represents 7/6; three represent 8/5. Alternately, one third of the «fifth harmonic» 5/1 also makes a good orwell generator, at ~ 12/7 or 928.77 ¢ = 1200 - 271,23 ¢.Orwell is so named because 19 steps of 84edo, i.e. 19\84, is a possible generator; however, here Orwell has been implemented as 22edo generated by 5\22 = 272.727 cents. The Canon modulates by -1 Orwell (= -5/22 of an Octave) at the end of each of the 22 sections, and eventually comes back to the initial tonality of D.

## 2024-04-21

### Blue Golden Fugue, for Baroque Trumpet, Oboe, Clarinet, Bassoon [Microtonal, Golden 13-scale]

«Blue Golden Fugue» is a blues-flavoured fugue for Baroque Trumpet, Oboe, Clarinet, Bassoon. Tuning is a Golden 13-tone scale constructed in the following way: the Golden Ratio ~ 833.09 cents is iterated 13 times, landing to 10830.174 cents; this means 9 octaves plus 30.174 cents. This amount is uniformly distributed along the 9 octaves, so that we have a tempered 1203.353 ¢ octave. This system coincides with 92.5656 cET.

## 2024-04-20

### Orwell 2-5-1 Cadence

The 2-5-1 cadence, transformed into the Orwell tuning, defined by the just perfect twelfth (3/1) being divided into 7 equal steps. One of these steps (as large as 271,71 ¢) represents 7/6; three represent 8/5. Alternately, one third of the «fifth harmonic» 5/1 also makes a good orwell generator, at ~ 12/7 or 928.77 ¢ = 1200 - 271,23 ¢. Orwell is so named because 19 steps of 84edo, i.e. 19\84, is a possible generator; however, here Orwell has been implemented as 22edo generated by 5\22 = 272.727 cents. The 2-5-1 cadence has been transformed into the Orwell tuning by mapping each fifth (meant as a generator) into 5\22 = 272.727 cents, then rearranging the resulting notes in 22edo; 22-edo has been notated by using the customary linear notation.

## 2024-04-13

### Sarabande, for Organ [22edo]

A short Sarabande for Organ in 22-edo.

## 2024-04-11

### Micro-Fugue on Happy Birthday for Baroque Ensemble [Microtonal, 33edo]

## 2023-03-19

### Claudi Meneghin: Four Pieces in 15-equal Division of the Octave

We present four pieces by Claudi Meneghin, in 15-equal division of the octave, notated as usual in the following way:

- B~C = 0 ¢
- D = 240 ¢
- E~F = 480 ¢
- G = 720 ¢
- A = 960 ¢
- #/b = +/- 80 ¢

**1) Cuckoo-Rag fugue**

Cuckoo-Rag fugue is a one-minute fugue recorder, cor anglais, clarinet, bassoon, using a rag-like subject and the cuckoo tune as a countersubject. Tuning is 15edo (15 equal division of the octave), used in the following two ways: in the first part of the fugue, the entries of the fugue are each one at a fifth from the preceding one, whereas in the second part at a fourth.

**2) Micro-Fugue on "Scotland the Brave"**

A five-part microfugue (in 15-equal division of the octave) on a theme derived from "Scotland the Brave", for Soprano & Alto Sax, Bassoon, Bass Clarinet, Suckbut, in the tonality of C. Each entry is a fourth higher (+480 ¢ in 15edo) than the preceding one, thus the fugue gets back to the initial tonality C after five entries (5*480 ¢ = 2400 ¢).

**3) Tocada, for 2 Organs**

A piece for 2 organs, in three movements (

*Preludi i Fugat, Chaconne “La Gamme”, Fugueta*).

*Preludi & Fugat*

The Preludi (Catalan for*"Prelude"*) is made up by 5 sections, each at +720 cents from the preceding one. Each one, internally, sticks to the following modulation structure : 0, +400, +800, 0, +720;

The Fugat (Catalan for*"Fugato"*) is made up by 5 sections, each at +240 cents from the preceding one and ends on C (pedal).*Chaconne “La Gamme”*(French for*"The Scale"*)

This chromatic piece is made up by 15 sections, each at +80 cents from the preceding one (starts from F and ends to F), plus a Coda, made up by the following chord progression: (D,C,F,A) - (E,B,E,G#) ~ (240,0,480,880) - (400,1120,400,800)*Fugueta*(Catalan for*"Little fugue"*) This fast movement is made up by five main sections obeying the following modulation rules:

1st: C +720 +720 +720 +720 +720

2nd: C +480 +480 +480 +480 +480

3rd: C +240 +240 +240 +240 +240 (modified mirrored theme)

4th: C +480 +240 +480 +240 +480 C

5th: = 1st, with added bass in the beginning exposition

Coda

**4) 3-in-1 Canon for 3 Violins**

A 3-in-1 Canon for 3 Violins (without bass), made up by sections each one modulating towards a tone (+240 ¢).