Harmony/Structure of Pitch/Just Intonation/Progressive Pitch


TT

SB

LB

T-12

T-7

Frequency

Ratio

ML2

Diff.T-7

Diff.T-12


D

D

D

587.3295

2.000000

1000.0000

000.0000

000.0000

D-

580.0785

1.975308

982.0781

-17.9219

-17.9219

D--

572.9171

1.950922

964.1562

-35.8438

-35.8438

Db++

563.8364

1.920000

941.1063

-58.8937

+24.4397

C#

557.5042

1.898438

924.8125

+67.6696

+08.1459

Db+

556.8754

1.896296

923.1844

-76.8156

+06.5178

C#

554.3653

1.887749

916.6667

+59.5237

Db

554.3653

1.887749

916.6667

-83.3333

C#-

550.6214

1.875000

906.8906

+49.7477

-09.7760

Db

550.0004

1.872885

905.2625

-94.7375

-11.4041

C#--

543.8236

1.851852

888.9687

+31.8258

-27.6979

C++

535.2040

1.822500

865.9188

+08.7759

+32.5855

C

531.9583

1.811448

857.1429

C+

528.5966

1.800000

847.9969

-09.1460

+14.6636

C

523.2511

1.781797

833.3333

-23.8096

C

522.0707

1.777777

830.0750

-27.0679

-03.2583

C-

515.6254

1.755830

812.1531

-44.9898

-21.1802

B+

501.7538

1.708594

772.8094

+58.5237

+22.8094

B

495.5593

1.687500

754.8875

+40.6018

+04.8875

B

493.8833

1.681793

750.0000

+35.7143

B-

489.4413

1.666667

736.9656

+22.6799

-13.0344

B--

483.3988

1.646091

719.0437

+04.7580

-30.9563

B

481.8072

1.640671

714.2857

Bb++

475.7369

1.620000

695.9938

-18.2919

+29.3272

A#

470.3942

1.601807

679.7000

+108.2714

+13.0334

Bb+

469.8636

1.600000

678.0719

-36.2138

+11.4053

A#

466.1638

1.587401

666.6667

+95.2381

Bb

466.1638

1.587401

666.6667

-47.6191

A#-

464.5868

1.582031

661.7781

+90.3495

-04.8885

Bb

464.0628

1.580247

660.1500

-54.1357

-06.5166

A#--

458.8512

1.562500

643.8562

+72.4276

-22.8104

Bb-

458.3337

1.560738

642.2281

-72.0576

-24.4385

A+

446.0037

1.518750

602.8844

+31.4558

+19.5511

A

440.4972

1.500000

584.9625

+13.5339

+01.6292

A

440.0000

1.498307

583.3333

+11.9048

A

436.3842

1.485994

571.4286

A-

435.0589

1.481481

567.0406

-04.3880

-16.2927

A--

429.6878

1.463192

549.1187

-22.3099

-34.2146

Ab++

422.8773

1.440000

526.0688

-45.3598

+26.0688

G#

418.1282

1.423828

509.7750

+81.2036

+09.7750

Ab+

417.6566

1.422222

508.1469

-63.2817

+08.1469

G#

415.3047

1.414214

500.0000

+71.4286

Ab

415.3047

1.414214

500.0000

-71.4286

G#-

412.9661

1.406250

491.8531

+63.2817

-08.1469

Ab

412.5003

1.404664

490.2250

-81.2036

-09.7750

G#--

407.8677

1.388889

473.9312

+45.3598

-26.0688

G++

401.4030

1.366875

450.8813

+22.3099

+34.2147

G+

396.4474

1.350000

432.9594

+04.3880

+16.2928

G

395.2435

1.345900

428.5714

G

391.9954

1.334840

416.6667

-11.9048

G

391.5530

1.333333

415.0375

-13.5339

-01.6291

G-

386.7190

1.316872

397.1156

-31.4558

-19.5510

F#+

376.3153

1.281445

357.7719

+72.0576

+24.4386

Gb++

375.8909

1.280000

356.1438

-72.4276

+22.8105

F#

371.6695

1.265625

339.8500

+54.1357

+06.5167

Gb+

371.2503

1.264198

338.2219

-90.3495

+04.8886

F#

369.9944

1.259921

333.3333

+47.6190

Gb

369.9944

1.259921

333.3333

-95.2381

F#-

367.0810

1.250000

321.9281

+36.2138

-11.4052

Gb

366.6669

1.248590

320.3000

-108.2714

-13.0333

F#--

362.5491

1.234568

304.0062

+18.2919

-29.3271

F

357.9814

1.219014

285.7143

F++

356.8027

1.215000

280.9563

-04.7580

+30.9563

F+

352.3977

1.200000

263.0344

-22.6799

+13.0344

F

349.2282

1.189207

250.0000

-35.7143

F

348.0471

1.185185

245.1125

-40.6018

-04.8875

F-

343.7503

1.170553

227.1906

-58.5237

-22.8094

E+

334.5025

1.139063

187.8469

+44.9898

+21.1803

E

330.3729

1.125000

169.9250

+27.0679

+03.2584

E

329.6276

1.122462

166.6667

+23.8095

E-

326.2942

1.111111

152.0031

+09.1460

-14.6635

E

324.2322

1.104090

142.8571

E--

322.2659

1.097394

134.0812

-08.7759

-32.5854

Eb++

317.1579

1.080000

111.0313

-31.8259

+27.6980

D#

313.5961

1.067871

094.7375

+94.7375

+11.4042

Eb+

313.2424

1.066667

093.1094

-49.7477

+09.7761

D#

311.1270

1.059463

083.3333

+83.3333

Eb

311.1270

1.059463

083.3333

-59.5238

D#-

309.7246

1.054688

076.8156

+76.8156

-06.5177

Eb

309.3752

1.053498

075.1875

-67.6696

-08.1458

D#--

305.9008

1.041667

058.8937

+58.8937

-24.4396

D++

301.0523

1.025156

035.8438

+35.8438

+35.8438

D+

297.3356

1.012500

017.9219

+17.9219

+17.9219

D

D

D

293.6648

1.000000

000.0000

000.0000

000.0000