Tuning Comparison: E12, E17, E19, E29, E31, E41, E43, E53, E55 - fragment from Grieg's Morning Mood

We propose a tuning comparison by means of a fragment from Grieg's Morning Mood, featuring the following tuning systems: • 12edo (close to Pythagorean or to 1/11-comma meantone) • 17edo (close to 2-schisma Supra-Pythagorean) • 19edo (close to 1/3-comma meantone) • 29edo (close to 3/4-schisma Supra-Pythagorean) • 31edo (close to 1/4-comma meantone) • 41edo (close to 1/4-schisma Supra-Pythagorean) • 43edo (close to 1/5-comma meantone) • 53edo (very close to Pythagorean) • 55edo (close to 1/6-comma meantone) ⦿ More Tuning Comparisons: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz0CeBpZLMBbjouT9X-xfbXW

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BACH - RICERCAR a 3 from the Musical Offering - Rameau's Tempérament Ordinaire

 

We present Bach's Ricercar a 3 from the Musical Offering, tuned into Rameau's Tempérament Ordinaire, a circulating temperament generated by 7 meantone fifths (as large as 696.578 ¢), 3 pythagorean fifths (as large as 701.955 ¢), and 2 sharp fifths (as large as 709.045 ¢), then rounded to integer values.

The cent figures of the tuning (with C set to 0) are:

0 ¢

87 ¢

193 ¢

298 ¢

386 ¢

503 ¢

585 ¢

697 ¢

789 ¢

890 ¢

1007 ¢

1083 ¢

Midi rendition, soundfont is «Harpischord Zell». Tuned by Huygens Fokker Scala, implemented by SynthFont.

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BACH - RICERCAR a 3 from the Musical Offering, tuned into E53

We present Bach's Ricercar a 3 from the Musical Offering, tuned into 53-equal division of the octave, very close to Pythagorean.

Midi rendition; soundfont is «Harpischord Zell». Tuned by Huygens Fokker Scala, implemented by SynthFont. ⦿ More Ricercar a 3: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz1BTgOx6r8sOUawQpNqV86_ ⦿ More 53-edo videos: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz00YKEYx98frli5JE5orfyk ⦿ More Bach's Musical Offering: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz0toNK4hUr1ULAOBhvcsSMs

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BACH - CHACONNE BWV 1004 - Claudi Meneghin, Guitar

We present Bach's CHACONNE from Partita for solo violin no. 2 in D minor BWV 1004 (transposed into G, and played at baroque pitch), arranged and played at the guitar by Claudi Meneghin.

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BACH - RICERCAR a 3 from the Musical Offering, tuned into E55

We present Bach's Ricercar a 3 from the Musical Offering, tuned into 55-edo, a tuning possibly used by Mozart. 55-edo is close to 1/6-comma meantone. Midi rendition, soundfont is «Harpsichord Zell». Tuned by Huygens Fokker Scala, implemented by SynthFont.

⦿ More Ricercar a 3: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz1BTgOx6r8sOUawQpNqV86_ ⦿ More 55-edo videos: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz1vGLCUHZDzcPqYNten5p_R ⦿ More Bach's Musical Offering: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz0toNK4hUr1ULAOBhvcsSMs

 

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BACH - RICERCAR a 3 from the Musical Offering, tuned into E43

 

We present Bach's Ricercar a 3 from the Musical Offering, tuned into 43-equal division of the octave, very close to 1/5-comma meantone. ⦿ More Ricercar a 3: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz1BTgOx6r8sOUawQpNqV86_ ⦿ More 43-edo videos: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz2nCT7UY5BiWq_SlIjFBvz6 ⦿ More Bach's Musical Offering: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz0toNK4hUr1ULAOBhvcsSMs

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HANDEL - ALLEMANDE from the Suite in D minor HWV 428 for Harpischord - (Rameau T.O. 4+8)

We present the «Allemande» from Handel's Suite in D minor HWV 428 for Harpischord, tuned into Rameau Tempérament Ordinaire 8+4, the circulating 12-tone tuning generated by 8 meantone fifths (as large as 697 ¢) and 4 sharp fifths (as large as 706 ¢).

The cent figures of the tuning (with C set to 0) are: 79 ¢ 194 ¢ 282 ¢ 388 ¢ 494 ¢ 582 ¢ 697 ¢ 776 ¢ 891 ¢ 988 ¢ 1085 ¢ 1200 ¢ ◙ More tunings of this piece: https://www.youtube.com/watch?v=ftq6tQoV-nQ&list=PLC6ZSKWKnVz1O27Jd_Sjk-QmBXSg-dYs_ ◙ More Rameau Tempérament Ordinaire videos: https://www.youtube.com/watch?v=85Zd36vuurk&list=PLC6ZSKWKnVz14XaYz6irvBdfXEQyJMDrE

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ARIA SOPRA LA BERGAMASCA, by Uccellini - arranged for Organ, tuned into Adaptive Just Intonation

 

We present Marc Uccellini's «Aria Sopra La Bergamasca», arranged for Organ, transposed into A, and tuned into Adaptive Just Intonation, implemented as Quarter-comma meantone, but fifths are raised to just on ground notes A, D, E. ⦿ More «La Bergamasca»: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz16FyTv2iEMna2uLh-aZOSx ⦿ More Vicentino's Adaptive Just Intonation: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz0CZEtyR9xi2P5XEjTWHNv3

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La Santa Espina - Claudi Meneghin, Guitar

 

<CAT> Presentem «La Santa Espina», la sardana catalana d'Enric Morera (música) i Àngel Guimerà (text - no inclòs en aquest arranjament). Arranjada i interpretada per Claudi Meneghin, guitarra.

Aquí teniu disponible gratuïtament una partitura (principalment de dos pentagrames):

• Versió sense anotacions a mà;
• Versió amb algunes anotacions a mà.

<ENG> We present «La Santa Espina», a Catalan Sardana by Enric Morera (music) and Àngel Guimerà (text - not featured in this arrangement). Arranged and played by Claudi Meneghin, guitar.

A (mainly two-stave) score is available here free of charge:

• Version without hand annotations;
• Version with some hand annotations.

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Bach - Art of Fugue - Contrapunctus 14, Completed [Organ, Rameau TO]

A completion of Bach's Contrapunctus 14 from the Art of Fugue, based on very simple contrapuntal principles. (Jump directly to the completion: https://youtu.be/QxzKooREmB4?t=434 ). Arranged for Organ (soundfonts are Jeux14 and OrganPipe), tuned into Rameau's Tempérament Ordinaire, a circulating temperament generated by 7 meantone fifths (as large as 696.578 ¢), 3 pythagorean fifths (as large as 701.955 ¢) and 2 sharp fifths (as large as 709.045 ¢), then rounded to integer values.

The cent figures of the tuning (with C set to 0) are: 0 ¢ 87 ¢ 193 ¢ 298 ¢ 386 ¢ 503 ¢ 585 ¢ 697 ¢ 789 ¢ 890 ¢ 1007 ¢ 1083 ¢ ⦿ More versions of The Art of Fugue, completed: https://www.youtube.com/watch?v=EXA-QwMzYB0&list=PLC6ZSKWKnVz2BVaWuoeaaqAPsWRuAgWim

⦿ More Bach's pieces completed: https://www.youtube.com/watch?v=KqVFA5In008&list=PLC6ZSKWKnVz0-n44FHBVZiGbn2AGGEGoJ ⦿ More pieces tuned into Rameau Tempérament Ordinaire: https://www.youtube.com/watch?v=85Zd36vuurk&list=PLC6ZSKWKnVz14XaYz6irvBdfXEQyJMDrE

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Double Fugue on "We Wish You a Merry Christmas" - Two versions, one for two harpischords and one for two fortepianos - Vallotti-Young tuning

A double Fugue on "We Wish You a Merry Christmas", presented here in two versions:

• one for two harpischords;
• one for two fortepianos.

Tuning is Vallotti- Young's 1/6-comma temperament, a circulating temperament generated by 6 1/6-comma meantone fifths (as large as 698.37 ¢), 5 pure fifths (as large as 701.955 ¢) and one 1-schisma tempered fifth (as large as 700 ¢).

The cent figures of the tuning (rounded to the next integer values, with C set to 0) are:

90 ¢

197 ¢

294 ¢

393 ¢

498 ¢

590 ¢

698 ¢

792 ¢

895 ¢

996 ¢

1092 ¢

1200 ¢

  

            a. Version for two Harpischords                            b. Version for two Fortepianos

⦿ More We-Wish-You-a-Merry-Christmas videos: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz1a3U6obcQT53GyH21N1kvp

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Bach's Contrapunctus 11 from the Art of Fugue, tuned into Werckmeister 3 (Harpsichord)

We present Bach's Contrapunctus 11 from the Art of Fugue, tuned into Werckmeister 3, a well-temperament possibly used by Bach. This temperament shrinks the fifths C–G, G–D, D–A and B–F♯ by ¼-comma and leaves the other ones pure. The cent figures of the tuning (rounded to integer values) are: C = 0 C♯ = 90 D = 192 D♯ = 294 E = 390 F = 498 F♯ = 588 G = 696 G♯ = 792 A = 888 B♭ = 996 B = 1092. MIdi rendition, soundfont is «Harpischord Zell». Tempo is inspired by Musica Antiqua Köln's performance: https://youtu.be/YqXZtGyFyDo?t=2652

⦿ More Contrapunctus 11: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz1Vku1mLGcBOnUI93QCpXPc ⦿ More Werckmeister 3 videos: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz2CJqddqjZGkA_c_jZL9uun

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Double Fugue on «Old Mac Donald» and «Shave and a Haircut», Tuned into 5-th Comma and 6-th Comma Meantone

A double fugue, combining the «Old Mc Donald» and «Shave & a Haircut» themes; the piece is tuned into

• 43-equal division of the octave, very close to fifth-comma meantone (Baroque Ensemble);
• 55-equal division of the octave, very close to sixth-comma meantone (Harpischord & Fortepiano).

  

⦿ More Versions of This Piece: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz0ZQ02Ppdb4X_gfXrOkyH72

⦿ More 43-edo Pieces: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz2nCT7UY5BiWq_SlIjFBvz6

⦿ More 55-edo Pieces: https://www.youtube.com/watch?v=9zfWeO0eJdA&list=PLC6ZSKWKnVz1vGLCUHZDzcPqYNten5p_R

⦿ More Fugues and Canons: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz3lBogeQ66N8W3x_GwUhTFw

Miniature: Derivative of «Andrei Andrejevits Popov: Farmyard» (Finnish National Gallery).

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THE EXTENDED LAMENT BASS - Tuning Comparison: E12, E17, E19, E29, E31, E41, E43, E53, E55

We present the extended Lament Bass (A-G#-G-F#-F-E-D#-E), harmonised and tuned into 12edo, 17edo, 19edo, 29edo, 31edo, 41edo, 43edo, 53edo, 55edo.

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HANDEL VARIATIONS for Organ 😎

We present Claudi Meneghin's «Variations on Handel's Harmonious Blacksmith Theme», a set of 11 microtonal variations, for organ, in F. Tuning is as follows (edo = equal division of the octave): • Var 00 - Theme (Rameau's Tempérament Ordinaire) • Var 01 - 15-edo • Var 02 - 13- & 11-edo • Var 03 - 19-edo (Ouverture) • Var 04 - 17-edo • Var 05 - 18-edo • Var 06 - 21-edo • Var 07 - 14-edo • Var 08 - 22-edo • Var 09 - 20-edo • Var 10 - 16-edo • Var 11 - Chaconne (Blacksmith, 15-edo). 🙂

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THE «RISING CRY», Chord Progression Featuring the French Augmented FIfth Chord, and rising by tones

 

Inspired by  @EarlyMusicSources ' «The Most French Chord», here's a short video featuring six Augmented 5th French Chords [1,2,3], alternated with six dominant chords, raising by tones and harmonising a chromatic bass line. Shepard effect has been added. Tuning is 12-equal division of the octave. The augmented 5th chord is called «The Cry», after prof. Johannes Menke, quoted in [1]. #french #augmented #fifth #shepard #effect #cry REFERENCES: • [1] Early Music Source.com: The Most French Chord https://www.youtube.com/watch?v=52qtxWyOOcs • [2] Jean-François Dandrieu, Principes de l'Acompagnement du Clavecin (Paris, 1718); • [3] Jean-Philippe Rameau, Traité de l'harmonie réduite à ses principes naturels (Paris, 1722)

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Claudi Meneghin - Arietta with 5 Variations, for Organ

 We present an Arietta with 5 variations for Organ, rendered into 72-edo (as quasi-just intonation), 36-edo, 46-edo. In all cases, septimal harmony has been extensively used.

72-edo:

36-edo:

46-edo:

More arrangements of this piece are avaliable via the following playlist:

⦿ More Arietta with 5 Variations: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz2PmqMEdOVKxe5zoPmANb9F

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PETZOLD (formerly attributed to BACH) - MINUET in G major, BWV Anh 114

⦿ More Claudi Meneghin playing the guitar: https://www.youtube.com/playlist?list=PLC6ZSKWKnVz0Fgz1n8-tzwutsIGBTTIjJ

Petzold's Minuet in G major from Bach's Notebook for Anna Magdalena Bach. This piece was formerly attributed to Bach, BWV Anh 114. Transposed to D major, arranged for classical guitar and performed by Claudi Meneghin on 2025-03-02.

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Tuning Comparison - Fragment from Bartók's Romanian Folk Dance #1, E12, E17, E19, E26, E29

A short fragment from Bartók's Romanian Folk Dance #1, tuned into E12, E17, E19, E26, E29.

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Happy Birthday · Canons and Little Fugues, in multiple tunings

 

We present a YouTube playlist featuring Canons and Fugues on Happy Birthday (a tune now in the Public Domain) in multiple tunings, to celebrate different n-th birthdays:

Happy Birthday · Canons and Little Fugues, in many tunings 

Image: PD Image from Wikimedia Commons, https://commons.wikimedia.org/wiki/File:Happy-birthday-1591218.svg

Here're a few examples from the playlist:

• 61-equal division of the octave

• 32-equal division of the octave

• 55-equal division of the octave

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