LaripS.com, © Bradley Lehman, 2005-13, all rights reserved.All musical/historical analysis here on the LaripS.com web site is the personal opinion of the author,
as a researcher of historical temperaments and a performer of Bach's music.
- Examples! Harpsichord and organ recordings for
purchase, released January 4th 2006.
#1002 "A Joy Forever" (organ) and
#1003 "Playing from Bach's fancy" (harpsichord)
Download free sample recordings of keyboard music played in Bach's temperament
(excerpts from the above albums)
the Early Music article
"Bach's Extraordinary Temperament: Our Rosetta Stone" part 1,
or purchase a subscription to the journal
- Supplementary materials
at Oxford's site as noted on page 18 of the printed article (not really "supplementary", but integral parts of the article!)...download these five files from the outline page
- Early Music article
"Bach's Extraordinary Temperament: Our Rosetta Stone" part 2, Oxford University Press. Includes a link
to its own supplementary section.
- Errata and clarifications for "Bach's extraordinary temperament: Our Rosetta Stone"
- Outlines of the complete Early Music article,
and of the Clavichord International article
Spring/summer 2006, the article "Bach's Art of Temperament"
further explains this temperament from several additional practical angles.
- Other articles about this tuning
- A simple, informal speech introducing this tuning and the relevant issues around it
(i.e. a lecture inspired by the style of Richard Feynman)....
- Lecture slides from October 2008: explaining the tuning theory in an hour, with as little math as possible. This was a guest lecture at James Madison University (Virginia).
- Frequently asked questions (FAQ)
part 1, part 2, and part 3
- The background and process of the discovery
- Practical "twang" instructions, explaining the basic concept here for people who are accustomed to thinking of temperament as beat-counting. Comma-splitting is listening for interval quality,
not numerical beats!
- Practical instructions to set up Bach's tuning by ear, along with
other methods contemporary with it
- Electronic-tuner instructions [Main version]
A geometrical technique for quick tuning to set up any regular series
of consistent fifths: the core C-G-D-A-E and/or F-C-G-D-A for any temperaments (including Bach's) that have them
- Mathematical analysis of some of the musical results in this tuning's layout:
cent charts, comma splits, tone and semitone measurements, etc.
Other "Bach" temperaments from 1966 to present, surveyed
A roster of the temperament's usage (adventures) in concerts, broadcasts, and recordings
- Updated! A clarification about the temperament's
version for Bach's vocal music
- "Ordinary" and "Extraordinary" temperament
- Updated! CPE Bach's use of this same temperament
- Properties of regular or "meantone" temperaments
- Epigrams about Bach's tuning
- Some little test pieces for the Affekts of the keys
- Graph of the enharmonic handling and scale structure
- The fifths and major thirds are explained using Brombaugh's "Temperament Units"
and Sorge's 18th century model of schismas: a mini-lesson
here on the basic mathematics of keyboard temperaments
- Comparisons with other temperaments
- The more complex enharmonic issues to be solved in keyboard tuning are
expressible in a cube puzzle layout
"Temperament-killer" test pieces from Bach's repertoire, to confirm or weed out any proposed "Bach" temperaments empirically
This tuning is installed in the
Opus 41 organ by Taylor & Boody
at the Goshen College Music Center, Goshen Indiana USA;
also in several others in Europe and the USA.
Roster of its use...
A digest of postings to HPSCHD-L
clarifying research details and answering questions
- New in November 2008! Jean-Philippe Rameau's published preference in 1726 was apparently for a system with regular 1/6 comma
tempering in Bb-F-C-G-D-A-E-B, and the other four notes tastefully arranged to fill the gap.
My presentation of this is in section 6 of the "practical instructions" page.