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NON-EQUAL TEMPERAMENTS 

 
Another feature of the Sanderson Accu-Tuner is the ability to alter tunings and add different 
temperaments without having to physically alter all 88 notes of a tuning. The Temperament 
pages allow a technician to store the rules of a temperament for twelve notes and select any 
tuning and alter the tuning with the selected temperament automatically.  If the temperament 
page is selected before calculating the FAC tuning, the tuning will be stored to memory with the 
rules of the temperament added/subtracted to each of the notes as it is stored into memory. Now 
it is possible to develop your own temperaments and try them out on any piano.    

STORING A TEMPERAMENT 

 
Select a TEMPERAMENT page for storage by using the PAGE buttons to go above page 198 of 
regular pages of memory, above Sequence pages (SE 1,2,3,4), the next page of memory 
displays 1-7t, and the following page (after “1-7t”) displays “8-14”.  Octave 1 on PAGE 1-7t is the 
first temperament storage location; the chart below lists where the stored temperaments 
correspond to the temperament number: 
 

 PAGE 

1-7t 

 in memory 

  

PAGE 

8-14 

in memory 

Octave 1 

Temperament 1 

 

Octave 1 

Temperament 8 

Octave 2 

Temperament 2 

 

Octave 2 

Temperament 9 

Octave 3 

Temperament 3 

 

Octave 3 

Temperament 10 

Octave 4 

Temperament 4 

 

Octave 4 

Temperament 11 

Octave 5 

Temperament 5 

 

Octave 5 

Temperament 12 

Octave 6 

Temperament 6 

 

Octave 6 

Temperament 13 

Octave 7 

Temperament 7 

 

Octave 7 

Temperament 14 

 

 PAGE 

15-21t 

 in memory 

   PAGE 

22-28 

in memory 

Octave 1 

Temperament 15 

 

Octave 1 

Temperament 22 

Octave 2 

Temperament 16 

 

Octave 2 

Temperament 23 

Octave 3 

Temperament 17 

 

Octave 3 

Temperament 24 

Octave 4 

Temperament 18 

 

Octave 4 

Temperament 25 

Octave 5 

Temperament 19 

 

Octave 5 

Temperament 26 

Octave 6 

Temperament 20 

 

Octave 6 

Temperament 27 

Octave 7 

Temperament 21 

 

Octave 7 

Temperament 28 

 
 
Just to repeat and reinforce the table above:  

Temperament #1 is located on page 1-7t, Octave 1 note C1 through B1. 

Temperament #2 is located on page 1-7t, Octave 2 notes C2 through B2. 
Temperament #3 is located on page 1-7t, Octave 3 notes C3 through B3. 

Temperament # 13 is located on page 8-14, Octave 6 notes C6 through B6. 

Temperament #14 is located on page 8-14, Octave 7 notes C7 through B7. 

 

To try out a temperament, the following temperaments are stored in the Accu-Tuner on 
temperament pages 8 through 14.  The temperaments are listed below: 
 

Temperament 8 

Kirnberger III 

Temperament 9 

Meantone ¼ Comma 

Temperament 10 

Meantone 1/6 Comma 

Temperament 11 

Prinz Temperament 

Temperament 12 

Vallotti Temperament 

Temperament 13 

Werckmeister Temperament 

Temperament 14 

Young’s Temperament 

 

Previously with the Accu-Tuner IV, you would use the PAGE button to go up above the regular 
pages of memory until you reached the temperament page 1-7t, or 8-14t then select the correct 
octave to enter the non-equal temperament offsets.  With the Accu-Tuner IV there is a more direct 

Содержание Accu-Tuner 4

Страница 1: ...SANDERSON ACCU TUNER IV OPERATING MANUAL INVENTRONICS INC 130 MIDDLESEX RD Suite 14 TYNGSBORO MA 01879 2725 www Accu Tuner com Inventronics aol com 1 800 FAST 440 Outside USA Canada CALL 978 649 9040...

Страница 2: ...IONS BY RICK BALDASSIN JAMES W COLEMAN SR THIS MANUAL IS COPYRIGHTED ALL RIGHTS ARE RESERVED THIS DOCUMENT MAY NOT IN WHOLE OR PART BE COPIED PHOTOCOPIED REPRODUCED OR TRANSLATED WITHOUT PRIOR CONSENT...

Страница 3: ...MBERS 12 REVIEWING THE FAC NUMBERS 12 VIEWING FAC NUMBERS FROM A PAGE IN MEMORY 13 COPY AND PASTE AN ENTIRE PAGE OF MEMORY 13 OFFSETTING AN FAC TUNING TO NON STANDARD PITCH 13 CENTS OFFSET FOR HZ AT A...

Страница 4: ...EASURING THE WIDTH OF MUSICAL INTERVALS 23 QUICK RESET OF CENTS DISPLAY TO ZERO 23 WARM STOP 24 ADJUSTING THE DOUBLE OCTAVE BEAT 24 TO ALTER THE FAC CALCULATION 24 TO ALTER THE STRETCH DURING THE TUNI...

Страница 5: ...CISE STEP BY STEP TABLES OF STANDARD ROUTINES 37 APPENDIX B 38 CENTS TABLES FOR NON EQUAL TEMPERAMENTS 38 CENTS OFFSET FOR HZ AT A4 39 APPENDIX C 39 AURAL AND VISUAL TUNING 39 APPENDIX D 40 WHAT ARE P...

Страница 6: ...g very quickly to indicate the direction of rotation Tuning with the Accu Tuner can be thought of as a simple two step process 1 Determining the correct settings for each note of a given instrument 2...

Страница 7: ...r for forty to sixty hours without the backlighting If the battery charge indicator does not seem to be working be patient the battery is probably lasting longer than expected The battery will dischar...

Страница 8: ...THE TUNE MODE Immediately after pressing the TUNE button to exit from the CALIBRATION mode the displays will appear as shown in Fig 2 Fig 2 Accu Tuner display after pressing TUNE The NOTE OCTAVE disp...

Страница 9: ...s from one to ten plus the twelfth and fourteenth one semitone low for the first second and fourth partials and one subharmonic the fourth below This set is complete with all the notes necessary for t...

Страница 10: ...n the TUNE mode not following the memory tuning Page Number Display To see how this works turn on the Accu Tuner press the TUNE button press PAGE up once A numeral 1 will appear momentarily in the CEN...

Страница 11: ...listening to switch to the TUNE mode by pressing the TUNE button Don t forget to switch back to the page in memory by pressing the MEM button before going on to the next note If the MEM button is not...

Страница 12: ...page At the end of calculating the tuning the Accu Tuner will display A0 and the cents deviation for A0 You are all set to start tuning the note A0 To start at any other note just proceed to that note...

Страница 13: ...ccu Tuner IV is the ability to adjust and store the FAC numbers without having to follow the entire sequence outlined above This is helpful in many situations if the stretch numbers are already known...

Страница 14: ...second stretch number 10 Release and press down the STRETCH button a third time to view the third stretch number Copy and Paste an Entire Page of Memory Go to the page of memory that you would like to...

Страница 15: ...the numbers the lower the inharmonicity so spinets tend to measure higher stretch numbers than grand pianos The FAC method or any other method cannot produce perfectly progressing beat rates on a pia...

Страница 16: ...nd the 2nd partial of A4 this will give a 5 bps difference between F3 A3 and F3 A4 To invoke DOB hold down blue SHIFT and touch CENTS Up once for each 1 bps If the dots are moving slightly counter clo...

Страница 17: ...arious test notes below 19 TUNE the unisons aurally from the lowest plain wire notes through A4 Let the SAT follow you so that you can detect any correction which may be necessary after the firm playi...

Страница 18: ...the lower half of the display The Auto Stepping Down works similar to the UP feature when tuning A4 the Accu Tuner will also listen for the pitch of G 4 If the note G 4 is played the Accu Tuner will a...

Страница 19: ...uctions Every successive NOTE down button will progress straight down the major headings of the manual If you wanted information on the Auto Note Stepping you would press the NOTE down button seven ti...

Страница 20: ...GE button would used to go above the regular pages of memory until you reached the temperament page 1 7t or 8 14t then select the correct octave to enter the non equal temperament offsets With the Acc...

Страница 21: ...racter Once the desired information is in the header the SHIFT button will store the new header information SIGNAL STRENGTH GRAPH OR HEADER LISTING After selecting a page of memory the header listing...

Страница 22: ...correction amount on the page 123 in memory 1 Hold down the MEASURE button while striking the note A0 in our present scenario until the LEDs stop or nearly stop 2 Hold down the SHIFT 2 button 3 Releas...

Страница 23: ...and then stop the rotation of the display with the CENTS buttons THE RESET RST BUTTON The Reset Button has four major functions 1 Resetting to Non Standard Pitch 2 Perfecting the A 440 of a Stretch T...

Страница 24: ...e desired change to the offset in the cents display hold SHIFT and press RST and the new offset will be displayed in the cents location To set the cents offset back to zero either recalibrate the inst...

Страница 25: ...hat the Accu Tuner calculates If the tuning sounds contracted in the temperament hold down the shift and press the D O Beat button up If the tuning sounds too wide in the temperament hold down the shi...

Страница 26: ...sults are found and then store the tuning The directions below will describe the steps to accomplish the change The following directions assume a page in memory is being used for the tuning 1 Hold dow...

Страница 27: ...erament 12 Octave 6 Temperament 6 Octave 6 Temperament 13 Octave 7 Temperament 7 Octave 7 Temperament 14 PAGE 15 21t in memory PAGE 22 28 in memory Octave 1 Temperament 15 Octave 1 Temperament 22 Octa...

Страница 28: ...the next note The following is a step by step example of storing a temperament to temperament page 6 using the previous method of storing an early music temperament 1 Turn on Accu Tuner IV 2 Press TUN...

Страница 29: ...on together When a temperament is selected a T appears in the right side of the cents display By displaying the T the Accu Tuner is warning the user trying to avoid tuning an instrument with an unwan...

Страница 30: ...t sequence pages are listed as SEQUE 1 SEQUE 2 SEQUE 3 SEQUE 4 SEQUE 5 SEQUE 6 SEQUE 7 and SEQUE 8 The Accu Tuner IV has four sequences loaded into the memory at the factory Sequence 1 is the Potter F...

Страница 31: ...es loaded in from the factory are listed at the end of the header listing Presently sequence 1 is the Potter F A temperament sequence 2 is Coleman F F temperament sequence 3 is the European A A temper...

Страница 32: ...the double octave fifth partial 6 in the bass at A0 B2 double octave partial 4 C3 B4 octave partial 2 from C5 B5 and fundamental first partial from C6 on up to C8 11 Continue along measuring and stor...

Страница 33: ...it is pressed and over write the information that was previously stored at that location The display will show STORE MEMORY to let you know the footswitch is storing to memory When it is time to stop...

Страница 34: ...IV also for updating the operating system NOTE SWITCH A subminiature jack that accommodates the foot switch or thumb switch which is used for stepping up down the NOTE settings one semitone at a time...

Страница 35: ...ger is plugged in The battery is charged to roughly eighty percent during the high current charging and gets topped off with the trickle charging Inventronics still recommends charging the Accu Tuner...

Страница 36: ...s storing a piano to regular piano memory with one very important simplification it is impossible to store a note using the wrong partial The PTG specifies which partial to use when storing every note...

Страница 37: ...1 3 cents in octave 2 1 cent in octaves 3 and 4 2 cents in octave 5 3 cents in octave 6 and 6 cents in octave 7 Notes AO A O BO and C8 are not scored in the PTG exam but may be scored with the Accu T...

Страница 38: ...tretch is displayed OFF Hold SHIFT press the D O Beat until 0 0 is displayed 7 Measurement and Storage of FAC Stretch Numbers TUNE NOTE F OCT 5 CENTS 0 0 tune F3 to stop LEDs OCT up to 6 CENTS up or d...

Страница 39: ...9 8 C 5 9 E 2 0 Ab 13 7 C 7 8 F 7 8 The usual practice is to use only the above flats Meantone Temperament A 0 0 Db 27 4 F 10 3 A 24 0 D 3 5 Gb 30 8 Bb 17 1 D 20 5 G 6 8 B 6 8 Eb 20 5 G 17 1 C 10 3 E...

Страница 40: ...h equally out of tune parallel intervals This need was borne out of the practice of composers who became far ranging in their tonalities of a particular composition The earliest popular approaches to...

Страница 41: ...which is 3 times the fundamental pitch One can continue to divide the string by 1 4 1 5 1 6 1 7 1 8 etc This will cause the string to sound at its 4th 5th 6th 7th and 8th partials respectively In orde...

Страница 42: ...problems with a piano will show up at the earliest possible stage when they are relatively easy to correct with small compromises Many pianos have unfortunately incompatible tuning requirements and by...

Страница 43: ...ment the piano Step 5 Now every fourth note is tuned from A2 to A4 Fill in the missing notes between F3 and C 4 to get a nine note mini temperament You must now take a guess at the width of the fourth...

Страница 44: ...wards slightly in the upper octave on account of the inharmonicity of the piano Step 6 Check that the three major tenths formed on the seven notes tuned so far also in the ratio of 4 to 5 Also check t...

Страница 45: ...sharp then leave C4 where it is and go on to test other notes Eventually you will find the main culprit or culprits the notes for which all three tests say the same thing Move these notes without hes...

Страница 46: ...nding to the intervals employed in the test In naming the intervals P denotes a so called Perfect interval M denotes a Major interval m denotes a minor interval A denotes an Augmented interval and d d...

Страница 47: ...ty to eighty hours of operation per charge Will recharge in 6 to 7 hours and has a long life expectancy Accu Tuner may be battery operated or plugged into an AC line Automatic shut down to conserve ba...

Страница 48: ...noise SPEAKER AMPLIFIER The speaker amplifier allows the user to listen to the tone instead of using the display in the Accu Tuner and is especially useful for chipping pianos PIANO LIBRARIAN An Inve...

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