ꯅꯪꯒꯤ ꯐꯜ ꯀꯔꯝꯅꯥ ꯈꯪꯒꯗꯒꯦ
- ꯅꯪ ꯈꯪꯕ ꯌꯥꯕ ꯄꯤꯛꯁꯦꯜ ꯑꯁꯕꯥ ꯑꯗꯨ: cents ꯗꯥ। ꯁꯦꯃꯤꯇꯣꯟ, ꯄꯤꯌꯥꯅꯣ ꯀꯤꯁꯤꯡ ꯑꯅꯤ ꯃꯔꯛꯀꯤ ꯃꯈꯥ ꯑꯃꯥ, cents 100 ꯅꯤ। ꯃꯁꯤ ꯅꯪꯅ ꯊꯥꯖꯕꯥ ꯌꯥꯕ ꯃꯈꯥ ꯑꯗꯨ ꯃꯊꯪꯒꯤ ꯇ꯭ꯔꯥꯏꯜ 10 ꯗꯥ ꯃꯁꯤꯡ 7 ꯊꯥꯖꯅꯕꯥ ꯅꯤ। ꯑꯁꯕꯥ ꯑꯣꯏꯕ ꯑꯗꯨ ꯅꯥꯏꯅꯥ ꯈꯪꯏ।
- ꯃꯤꯡꯆꯠ ꯊꯥꯕꯥ ꯌꯥꯕ: ꯅꯪꯅ ꯊꯥꯕꯥ ꯌꯥꯕ 5 ꯂꯥꯏꯔꯤꯛ ꯀꯌꯥ ꯃꯔꯝ ꯑꯣꯏꯅꯥ ꯊꯥꯕꯤꯕꯒꯦ। ꯃꯤꯡꯆꯠꯀꯤ ꯃꯇꯝ ꯃꯈꯥ ꯌꯥꯗꯦ: ꯊꯥꯕꯤꯕꯒꯤ ꯃꯇꯝ ꯂꯥꯏꯔꯤꯛꯀꯤ ꯂꯝꯕꯥ ꯃꯥꯟꯅꯕꯥ ꯌꯥꯅꯥ ꯁꯦꯝꯗꯨꯅꯥ ꯃꯈꯥ ꯈꯟꯅꯩ।
- ꯃꯤꯡꯆꯠ ꯃꯇꯝꯒꯤ ꯑꯁꯕꯥ: ꯅꯪꯒꯤ ꯊꯥꯕꯤꯕꯒꯤ ꯂꯃꯗꯤ ꯑꯃꯁꯨꯡ ꯂꯥꯏꯔꯤꯛꯀꯤ ꯂꯃꯗꯤ ꯃꯔꯛꯇꯥ ꯑꯀꯟꯕꯥ ꯑꯁꯕꯥ, ꯄꯥꯔꯁꯦꯟꯇꯇꯥ।
- ꯃꯤꯡꯁꯤꯡ ꯈꯪꯕꯥ (ꯑꯅꯤꯁꯨꯕ ꯃꯈꯥ): ꯅꯪꯅ ꯑꯆꯨꯝꯅꯥ ꯈꯪꯗꯨꯅꯥ ꯃꯤꯡꯅꯕ ꯌꯥꯕ ꯃꯤꯡꯁꯤꯡ ꯑꯃꯁꯤꯡ ꯀꯌꯥ। ꯁꯦꯃꯤꯇꯣꯟ ꯑꯃꯥ ꯈꯣꯡꯊꯥꯡꯕ ꯃꯤꯡꯁꯤꯡꯅ ꯄꯥꯔꯁꯦꯟꯇꯇꯥ ꯑꯆꯨꯝꯕ ꯐꯜ ꯄꯤꯔꯤ, ꯑꯁꯤꯒꯤ ꯃꯣꯟꯅꯥ ꯔꯤꯁꯔꯆꯔꯁꯤꯡꯅ ꯃꯤꯅꯕꯥ [1]।
ꯃꯃꯥꯡꯗꯥ ꯂꯩꯕ ꯑꯁꯥꯡ ꯀꯔꯝꯅꯥ ꯑꯣꯏꯕꯒꯦ?
ꯁꯦꯃꯤꯇꯣꯟ ꯑꯃꯥ cents 100 ꯅꯤ। ꯂꯦꯕꯣꯔꯦꯇꯣꯔꯤ ꯁ꯭ꯇꯗꯤꯁꯤꯡꯗꯥ, ꯃꯤꯖꯤꯛ ꯇ꯭ꯔꯦꯅꯤꯡ ꯂꯩꯇꯕ ꯃꯤꯑꯣꯏꯁꯤꯡꯅ ꯄꯤꯛꯁꯦꯜ ꯑꯁꯕꯥ cents 12 ꯗꯒꯤ 35 ꯐꯥꯎ ꯈꯪꯏ, ꯇ꯭ꯔꯦꯅꯤꯡ ꯂꯩꯕ ꯃꯤꯖꯤꯛꯀꯤꯁꯤꯡꯅ cents 2 ꯗꯒꯤ 17 ꯐꯥꯎ ꯑꯁꯕꯥ ꯈꯪꯕ ꯌꯥꯏ [2][3][4]। ꯑꯌꯥꯝꯕꯥ ꯊꯤꯅꯕꯅ ꯃꯥꯌ ꯄꯥꯏ: ꯇ꯭ꯔꯦꯅꯤꯡ ꯃꯤꯅꯤꯠ 4 ꯗꯒꯤ 8 ꯐꯥꯎ ꯇꯧꯔꯕꯥ ꯃꯤꯖꯤꯛ ꯇ꯭ꯔꯦꯅꯤꯡ ꯂꯩꯇꯕꯁꯤꯡꯅ ꯇ꯭ꯔꯦꯅꯤꯡ ꯂꯩꯕꯁꯤꯡꯒꯤ ꯊꯧꯗꯥꯡꯗꯥ ꯌꯧꯈꯤ [2]। ꯑꯆꯨꯝꯕ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯗꯕꯥ (ꯄꯤꯔꯤꯕꯥ ꯑꯃꯨꯁꯤꯌꯥ) ꯌꯥꯝꯅꯥ ꯑꯌꯥꯕꯥ ꯅꯠꯇꯦ, ꯔꯤꯁꯤꯡ ꯑꯃꯥ adult 1.5% ꯅꯤ [5]।
ꯈꯨꯠꯅ ꯈꯪꯕ ꯋꯥꯐꯝ
- ꯃꯤꯡꯁꯤꯡꯒꯤ ꯁꯥꯏꯕ ꯈꯪꯕ ꯂꯩꯇꯕ ꯑꯁꯤ ꯂꯥꯏꯕ ꯑꯣꯏ: ꯅꯨꯃꯤꯠ ꯀꯌꯥ ꯂꯣꯏꯅꯥ ꯃꯤꯡꯁꯤꯡꯒꯤ ꯁꯥꯏꯕ ꯈꯪꯕ ꯉꯝꯗꯕ ꯑꯃꯥ ꯑꯣꯏꯕ ꯀꯣꯟꯖꯦꯅꯤꯇꯦꯜ ꯑꯃꯨꯁꯤꯌꯥ ꯑꯁꯤ ꯑꯐꯕꯥ ꯃꯤꯑꯣꯏꯒꯤ 1.5% ꯗ ꯂꯩ, ꯑꯅꯧꯕꯥ ꯑꯣꯟꯂꯥꯏꯟ ꯑꯌꯥꯝꯕ ꯑꯃꯥ ꯌꯦꯡꯕꯥ ꯊꯤꯖꯤꯟꯅꯕꯗꯥ ꯑꯐꯕꯥ ꯃꯤꯑꯣꯏ 16,600 ꯒꯤ ꯃꯔꯣꯜ ꯌꯦꯡꯈꯤ [5]। ꯃꯁꯤꯒꯤ ꯃꯥꯟꯅꯕꯗꯥ ꯃꯤꯑꯣꯏ ꯑꯌꯥꯝꯕꯅꯥ ꯃꯈꯣꯏ ꯏꯁꯩ ꯊꯥꯗꯕꯥ ꯍꯥꯏꯅꯩ।
- ꯇ꯭ꯔꯦꯅꯤꯡꯅꯥ ꯃꯤꯡꯁꯤꯡꯒꯤ ꯁꯥꯏꯕ ꯃꯁꯛ ꯆꯥꯎꯈꯠꯍꯜꯂꯤ: ꯀ꯭ꯂꯥꯁꯤꯀꯦꯜ ꯃ꯭ꯌꯨꯖꯤꯀꯁꯤꯌꯟꯁꯤꯡꯒꯤ ꯁꯥꯏꯕ ꯈꯪꯕꯒꯤ ꯊꯣꯡꯒꯥꯟꯅꯕ ꯑꯁꯤ ꯃ꯭ꯌꯨꯖꯤꯀ ꯇꯧꯗꯕꯁꯤꯡꯒꯤ ꯃꯊꯛꯇꯥ 6 ꯃꯇꯝ ꯅꯨꯡꯉꯥꯏꯕ ꯍꯧꯈꯤ। ꯃ꯭ꯌꯨꯖꯤꯀ ꯇꯧꯗꯕꯁꯤꯡꯅꯥ ꯇ꯭ꯔꯦꯅꯤꯡ ꯑꯃꯁꯨꯡ ꯑꯌꯥꯝꯕ ꯄꯨꯡ 4 ꯗꯒꯤ 8 ꯐꯥꯎꯕ ꯇꯧꯔꯕꯥ ꯃꯇꯨꯡꯗꯥ ꯃꯔꯛꯇꯥ ꯂꯩꯔꯤꯕ ꯊꯣꯡꯒꯥꯟꯅꯕ ꯑꯁꯤ ꯂꯣꯏꯁꯤꯟꯈꯤ [2]।
- ꯑꯆꯨꯝꯕ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯕ ꯑꯁꯤ ꯃꯃꯥꯡ ꯇ꯭ꯔꯦꯅꯤꯡ ꯑꯃꯁꯨꯡ ꯂꯣꯜꯗꯥ ꯊꯦꯡꯅꯩ: ꯆꯍꯤ 4 ꯗꯒꯤ 5 ꯐꯥꯎꯕꯗꯥ ꯃ꯭ꯌꯨꯖꯤꯀ ꯂꯦꯁꯟ ꯍꯧꯈꯤꯕ ꯃ꯭ꯌꯨꯖꯤꯀ ꯂꯩꯁꯤꯡꯕꯁꯤꯡꯒꯤ ꯃꯔꯛꯇꯥ, ꯕꯦꯖꯤꯡꯗꯥ 60% ꯑꯃꯁꯨꯡ ꯌꯨ.ꯑꯦꯁ. ꯀꯟꯖꯔꯚꯦꯇꯣꯔꯤꯗꯥ 14% ꯅꯥ ꯑꯆꯨꯝꯕ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯈꯤ [6]।
- "10,000 ꯃꯤꯑꯣꯏꯗꯒꯤ 1 ꯅꯥ" ꯑꯁꯤ ꯑꯇꯩ ꯑꯣꯏꯕ ꯃꯔꯣꯜ ꯅꯠꯇꯦ: ꯑꯆꯨꯝꯕ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯕꯒꯤ ꯃꯇꯝ ꯃꯇꯝ ꯍꯥꯏꯕ 1955 ꯒꯤ ꯑꯅꯤꯡꯕ ꯃꯔꯣꯜ ꯑꯁꯤ ꯑꯃꯥ ꯂꯥꯏꯔꯤꯛ ꯂꯦꯈꯛꯄꯅꯥ ꯈꯪꯗꯣꯛꯈꯤꯕ ꯃ꯭ꯌꯨꯖꯤꯀꯁꯤꯡ ꯈꯛꯇꯒꯤ ꯂꯧꯈꯤꯕ ꯃꯔꯣꯜꯅꯤ, ꯃꯤꯑꯣꯏ ꯆꯥꯅꯕ ꯃꯈꯜ ꯑꯃꯗꯒꯤ ꯂꯧꯈꯤꯕ ꯅꯠꯇꯦ [7]।
- ꯄꯨꯟꯅꯥ ꯃꯤꯑꯣꯏꯅꯥ ꯆꯦꯜ ꯇꯧꯕ ꯍꯧꯔꯤ: ꯕꯤꯠ ꯑꯃꯒꯥ ꯂꯣꯏꯅꯥ ꯆꯦꯜ ꯇꯧꯔꯤꯕ ꯃꯇꯃꯗꯥ ꯃꯤꯑꯣꯏ ꯑꯌꯥꯝꯕꯅꯥ ꯃꯁꯤꯗꯒꯤ ꯃꯤꯂꯤꯁꯦꯀꯟ ꯀꯌꯥ ꯃꯃꯥꯡꯗꯥ ꯆꯦꯜ ꯇꯧꯏ [8]।
ꯃꯤꯡꯁꯤꯡ ꯈꯪꯕ ꯄꯔꯤꯛꯁꯥ ꯀꯔꯝꯅꯥ ꯊꯧꯗꯥꯡ ꯂꯧꯏ
- ꯁꯥꯎꯟꯗ ꯆꯦꯛ ꯇꯧꯕꯥ။ ꯅꯪ ꯂꯥꯏꯔꯤꯛ 4 ꯃꯈꯥꯗꯥ ꯆꯠꯄ ꯑꯃꯥ ꯇꯥꯔꯤ, ꯑꯗꯨꯅꯥ ꯅꯪ ꯁꯨꯈꯕ ꯃꯣꯠꯗꯥ ꯚꯣꯂ꯭ꯌꯨꯝ ꯁꯦꯠ ꯇꯧꯕ ꯌꯥꯏ। ꯑꯆꯧꯕ ꯑꯗꯨ ꯐꯕꯥ ꯅꯠꯇꯦ।
- ꯑꯔꯣꯏꯕ ꯅꯠꯇ꯭ꯔꯒꯥ ꯑꯈꯟꯕ? ꯃꯤꯡꯁꯤꯡ ꯑꯅꯤ ꯑꯃꯗꯒꯤ ꯑꯃꯗꯥ ꯆꯠꯏ। ꯑꯅꯤꯁꯨꯕ ꯑꯗꯨ ꯑꯔꯣꯏꯕ ꯅꯠꯇ꯭ꯔꯒꯥ ꯑꯈꯟꯕꯅꯤ? ꯃꯃꯥꯡꯒꯤ ꯃꯤꯡꯁꯤꯡꯒꯤ ꯄꯤꯛꯁꯦꯜ ꯑꯗꯨ ꯃꯇꯝ ꯑꯃꯝꯗꯥ ꯍꯣꯡꯏ, 330 ꯑꯃꯁꯨꯡ 660 Hz ꯒꯤ ꯃꯔꯛꯇꯥ, ꯑꯗꯨꯅꯥ ꯅꯪꯅ ꯂꯣꯌꯅꯕ ꯃꯤꯡꯁꯤꯡ ꯑꯃꯥ ꯈꯪꯅꯕ ꯌꯥꯗꯦ। ꯃꯈꯥ ꯑꯗꯨ cents 100 ꯗꯒꯤ ꯍꯧꯏ। ꯑꯆꯨꯝꯕ ꯈꯣꯡꯊꯥꯡ ꯑꯅꯤ ꯊꯥꯕꯤꯕ ꯃꯇꯨꯡꯗꯥ ꯃꯈꯥ ꯑꯗꯨ ꯑꯁꯕꯥ ꯍꯜꯂꯤ; ꯑꯆꯨꯝꯕ ꯈꯣꯡꯊꯥꯡ ꯑꯃꯥ ꯈꯣꯠꯄꯗꯥ ꯑꯔꯣꯏꯕ ꯍꯜꯂꯤ। “2-down, 1-up” ꯅꯤ ꯍꯥꯏꯕ ꯑꯁꯤꯅ ꯅꯪ ꯑꯆꯨꯝꯕ 71% ꯃꯇꯝ ꯊꯥꯕꯥ ꯌꯥꯕ ꯃꯐꯝ ꯑꯗꯨ ꯊꯤꯔꯤ [9]। ꯃꯁꯤ ꯍꯧꯗꯣꯛꯄꯥ ꯈꯣꯡꯊꯥꯡ 10 ꯐꯥꯎꯗꯥ ꯂꯣꯏꯔꯤ, ꯑꯃꯁꯨꯡ ꯐꯜ ꯑꯗꯨ ꯑꯔꯣꯏꯕ 6 ꯒꯤ ꯑꯌꯥꯝꯕꯗꯒꯤ ꯂꯧꯏ।
- ꯂꯥꯏꯔꯤꯛ। ꯆꯠꯄꯒꯤ ꯂꯥꯏꯔꯤꯛ ꯑꯃꯥ 2 ꯃꯇꯝ ꯆꯠꯏ; ꯃꯇꯨꯡꯗꯥ ꯅꯪ ꯊꯥꯕꯤꯕꯤꯌꯨ। ꯂꯥꯏꯔꯤꯛ 5 ꯂꯩ।
- ꯑꯆꯨꯝꯕ ꯄꯤꯛꯁꯦꯜ ꯄꯔꯤꯛꯁꯥ (ꯑꯅꯤꯁꯨꯕ ꯃꯈꯥ)। ꯂꯣꯌꯅꯕ ꯃꯤꯡꯁꯤꯡ 12, ꯃꯃꯥꯡꯗꯥ ꯃꯤꯡꯁꯤꯡ ꯑꯃꯥ ꯇꯥꯗꯅꯥ ꯑꯃꯁꯨꯡ ꯄꯥꯎꯈꯨꯝ ꯄꯤꯗꯅꯥ। ꯃꯤꯡꯁꯤꯡ ꯑꯃꯝ ꯀꯤꯕꯣꯔꯗꯗꯥ ꯈꯪꯗꯨꯅꯥ ꯃꯤꯡꯅꯕꯤꯌꯨ।
ꯁꯥꯎꯟꯗ ꯄꯨꯝꯅꯃꯛ ꯅꯪꯒꯤ ꯕ꯭ꯔꯥꯎꯖꯔꯗꯥ ꯁꯦꯝꯃꯤ; ꯔꯤꯀꯣꯔꯗꯤꯡ ꯑꯃꯠꯇꯥ ꯂꯩꯇꯦ।
ꯑꯆꯨꯝꯕ ꯄꯤꯛꯁꯦꯜ ꯄꯔꯤꯛꯁꯥ
ꯑꯆꯨꯝꯕ (absolute) ꯄꯤꯛꯁꯦꯜ ꯑꯁꯤ ꯃꯃꯥꯡꯗꯥ ꯃꯤꯡꯁꯤꯡ ꯑꯃꯥ ꯇꯥꯗꯅꯥ ꯃꯤꯡꯅꯕꯅꯤ। ꯑꯅꯤꯕ ꯑꯅꯂꯥꯏꯟ ꯁ꯭ꯇꯗꯤ ꯑꯃꯗꯥ, ꯃꯁꯤ ꯂꯩꯕ ꯃꯤꯑꯣꯏꯅ ꯑꯄꯨꯅꯕ ꯃꯤꯌꯥꯝꯗꯒꯤ ꯃꯈꯥꯗꯥ ꯌꯥꯝꯅꯥ ꯐꯕꯥ ꯐꯜ ꯂꯧꯈꯤ; ꯐꯜꯁꯤꯡꯅ ꯃꯔꯣꯛ ꯑꯅꯤ ꯊꯣꯀꯈꯤ, ꯃꯔꯛꯇꯥ ꯃꯤꯑꯣꯏ ꯑꯌꯥꯝꯕ ꯂꯩꯇꯅꯥ [1]। ꯃꯁꯤ ꯀꯌꯥ ꯑꯌꯥꯕꯅꯤ ꯍꯥꯏꯕ ꯅꯪ ꯀꯅꯥꯅꯥ ꯍꯥꯏꯕꯗꯥ ꯌꯥꯅꯩ: ꯖꯄꯥꯅꯒꯤ ꯃꯤꯖꯤꯛ ꯄꯨꯂꯤꯁꯤꯡꯒꯤ 30% ꯑꯃꯁꯨꯡ ꯄꯣꯂꯦꯟꯗꯒꯤ 7% ꯅ ꯁ꯭ꯠꯔꯤꯛꯇ ꯄꯔꯤꯛꯁꯥ ꯑꯃꯥ ꯊꯥꯕꯥ ꯌꯥꯈꯤ [7], ꯑꯃꯁꯨꯡ ꯃꯃꯥꯡꯗꯥ ꯂꯦꯁꯟ ꯍꯧꯕꯥ ꯑꯃꯁꯨꯡ ꯂꯣꯜꯒꯤ ꯃꯑꯣꯡꯅ ꯃꯁꯤ ꯌꯥꯝꯅꯥ ꯌꯥꯅꯕꯥ ꯇꯧꯏ [6]। ꯃꯤꯑꯣꯏ ꯑꯌꯥꯝꯕꯥ, ꯃꯤꯖꯤꯛꯀꯤꯁꯤꯡ ꯑꯌꯥꯝꯕ ꯌꯥꯑꯣꯅꯥ, ꯑꯗꯨꯕꯨ ꯃꯇꯨꯡꯒꯤ ꯄꯤꯛꯁꯦꯜ ꯂꯩ: ꯃꯤꯡꯁꯤꯡꯒꯤ ꯃꯔꯛꯀꯤ ꯄꯤꯛꯁꯦꯜ ꯑꯗꯨ ꯈꯪꯏ, ꯃꯤꯡꯁꯤꯡ ꯃꯈꯥꯗꯒꯤ ꯅꯠꯇꯦ।
ꯅꯪꯒꯤ ꯐꯜ ꯑꯗꯨ ꯀꯔꯝꯅꯥ ꯊꯧꯗꯥꯡ ꯂꯧꯏ?
- ꯃꯤꯖꯤꯛꯀꯤ ꯇ꯭ꯔꯦꯅꯤꯡ। ꯂꯥꯏꯔꯤꯛ ꯑꯃꯥ ꯄ꯭ꯂꯦ ꯇꯧꯕꯥ ꯅꯠꯇ꯭ꯔꯒꯥ ꯏꯁꯩ ꯁꯥꯕꯒꯤ ꯆꯍꯤ ꯀꯌꯥꯅ ꯄꯤꯛꯁꯦꯜ ꯃꯈꯥ ꯈꯪꯕ ꯌꯥꯝꯅꯥ ꯑꯔꯣꯏꯕ ꯇꯧꯏ [2][3]।
- ꯆꯥꯡꯌꯦꯡ ꯑꯁꯤꯗꯥ ꯄ꯭ꯔꯦꯛꯇꯤꯁ। ꯆꯥꯡꯌꯦꯡ ꯍꯧꯕꯒꯤ ꯃꯃꯥꯡ ꯇ꯭ꯔꯥꯏꯜꯁꯤꯡꯗꯥ ꯊꯧꯗꯥꯡ ꯑꯁꯕꯥ ꯑꯣꯏꯏ, ꯁꯦꯁꯟ ꯑꯃꯥ ꯃꯅꯨꯡꯗꯥꯁꯨ [2]। ꯃꯊꯪꯒꯤ ꯆꯥꯡꯌꯦꯡ ꯑꯁꯤꯕꯨ ꯑꯁꯤꯒꯥ ꯃꯥꯟꯅꯅꯥ ꯌꯦꯡꯕꯤꯌꯨ।
- ꯍꯦꯗꯐꯣꯟ ꯑꯃꯁꯨꯡ ꯂꯩꯐꯝ। ꯍꯦꯗꯐꯣꯟ ꯑꯃꯁꯨꯡ ꯂꯩꯐꯝ ꯁꯥꯟꯗꯕꯅ ꯃꯗꯠ ꯄꯤꯔꯤ। ꯐꯨꯡꯁꯤꯡꯒꯤ ꯐꯣꯟꯒꯤ ꯁ꯭ꯄꯤꯀꯔꯁꯤꯡꯅ ꯅꯤꯡꯊꯤꯕ ꯃꯤꯡꯁꯤꯡ ꯇꯥꯕ ꯌꯥꯝꯅꯥ ꯍꯟꯊꯩ।
- ꯊꯤꯅꯕ ꯑꯃꯁꯨꯡ ꯇꯥꯡꯅꯕꯥ। ꯇ꯭ꯔꯥꯏꯜ ꯑꯃꯗꯥ ꯊꯤꯅꯕ ꯑꯁꯕꯥ ꯑꯃꯅ ꯃꯈꯥ ꯑꯗꯨ ꯍꯜꯂꯛꯏ।
- ꯂꯥꯏꯔꯤꯛꯀꯤ ꯑꯆꯧꯕꯥ। ꯊꯥꯕꯤꯕꯗꯥ ꯃꯤꯑꯣꯏꯅ ꯑꯊꯣꯏꯕ ꯂꯥꯏꯔꯤꯛꯁꯤꯡꯗꯥ ꯌꯨꯝꯐꯝ ꯑꯣꯏꯅꯥ ꯆꯠꯄ ꯌꯥꯏ, ꯃꯗꯨꯗꯤ ꯂꯥꯏꯕ ꯃꯤꯡꯁꯤꯡ ꯑꯗꯨ ꯅꯤꯡꯊꯤꯕꯗꯒꯤ ꯑꯅꯤ ꯃꯇꯝ ꯂꯝꯕꯥ ꯑꯣꯏ [10]। “ꯑꯁꯕꯥ” ꯀꯌꯥ ꯑꯁꯤ ꯃꯤꯑꯣꯏ ꯄꯨꯝꯅꯃꯛꯀꯤ ꯃꯊꯧ ꯅꯤ।
ꯆꯥꯡꯌꯦꯡ ꯑꯁꯤꯅ ꯀꯔꯤ ꯈꯪꯍꯟꯕ ꯌꯥꯏ, ꯑꯃꯁꯨꯡ ꯀꯔꯤ ꯈꯪꯍꯟꯕ ꯌꯥꯗꯦ
Helibrain ꯃꯤꯡꯁꯤꯡ ꯈꯪꯕ ꯄꯔꯤꯛꯁꯥ ꯑꯁꯤ ꯔꯤꯁꯔꯆ ꯊꯕꯛꯁꯤꯡꯗꯥ ꯌꯨꯝꯐꯝ ꯑꯣꯏꯕ ꯊꯧꯔꯥꯡ ꯒꯦꯝ ꯑꯃꯅꯤ। ꯃꯁꯤ ꯇꯥꯡꯕꯒꯤ ꯄꯔꯤꯛꯁꯥ ꯑꯃꯠꯇꯥ ꯅꯠꯇꯦ, ꯑꯃꯨꯁꯤꯌꯥ ꯈꯪꯍꯟꯕ ꯗꯥꯏꯒꯅꯣꯁꯤꯁ ꯅꯠꯇꯦ, ꯑꯃꯁꯨꯡ ꯃꯁꯤ ꯈꯪꯍꯟꯅꯕ ꯔꯤꯁꯔꯆ ꯕꯦꯇꯔꯤꯁꯤꯡꯁꯨ ꯅꯠꯇꯦ (ꯃꯈꯣꯏꯗꯥ Montreal Battery of Evaluation of Amusia ꯌꯥꯑꯣꯏ) [11]। ꯕ꯭ꯔꯥꯎꯖꯔ ꯑꯦꯗꯤꯑꯣ ꯑꯃꯁꯨꯡ ꯁ꯭ꯄꯤꯀꯔꯁꯤꯡ ꯂꯦꯕꯣꯔꯦꯇꯣꯔꯤꯒꯤ ꯃꯈꯜ ꯅꯠꯇꯦ, ꯑꯗꯨꯅꯥ ꯅꯪꯒꯤ ꯅꯝꯕꯔꯁꯤꯡ ꯑꯀꯨꯞꯄ ꯃꯤꯅꯥ ꯑꯣꯏꯅꯥ ꯂꯧꯕꯤꯌꯨ।
ꯅꯪ ꯇꯥꯡꯕꯒꯤ ꯃꯔꯝꯗꯥ ꯈꯤꯅꯕ ꯂꯩꯔꯕꯗꯤ, ꯃꯗꯨꯗꯤ ꯋꯥꯍꯩ ꯑꯁꯕꯥ ꯇꯥꯕꯥ ꯌꯥꯕꯥ, ꯗꯣꯛꯇꯔ ꯅꯠꯇ꯭ꯔꯒꯥ ꯑꯦꯗꯤꯑꯣꯂꯣꯖꯤꯁ꯭ꯠ ꯑꯃꯗꯥ ꯌꯧꯕꯤꯌꯨ।
ꯑꯔꯥꯟꯕ ꯊꯥꯖꯕ ꯋꯥꯍꯩꯁꯤꯡ
ꯑꯩ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯗꯕꯥ ꯅꯤ ꯍꯥꯏꯕ ꯀꯔꯝꯅꯥ ꯈꯪꯒꯗꯒꯦ?
ꯃꯤꯡꯁꯤꯡ ꯑꯅꯤ cents 100 (ꯁꯦꯃꯤꯇꯣꯟ) ꯈꯣꯡꯊꯥꯡ ꯂꯩꯕ ꯃꯇꯝꯗꯥ ꯑꯔꯣꯏꯕ ꯑꯗꯨ ꯈꯪꯕ ꯌꯥꯔꯕꯗꯤ, ꯅꯪ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯗꯕꯥ ꯅꯠꯇꯕꯒꯤ ꯌꯥꯝꯅꯥ ꯄꯥꯛꯇꯥ ꯊꯥꯖꯕ ꯌꯥꯏ: ꯃꯤꯑꯣꯏ ꯑꯌꯥꯝꯕꯅ ꯑꯁꯕꯥ ꯈꯣꯡꯊꯥꯡꯁꯤꯡꯁꯨ ꯈꯪꯕ ꯌꯥꯏ [2][4]। ꯑꯆꯨꯝꯕ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯗꯕꯥ, ꯄꯤꯔꯤꯕꯥ ꯑꯃꯨꯁꯤꯌꯥ, adult 1.5% ꯗꯥ ꯑꯣꯏꯏ [5] ꯑꯃꯁꯨꯡ ꯂꯝꯕꯥ ꯔꯤꯁꯔꯆ ꯄꯔꯤꯛꯁꯥꯁꯤꯡꯅ ꯈꯪꯍꯟꯏ। Helibrain ꯃꯤꯡꯁꯤꯡ ꯈꯪꯕ ꯄꯔꯤꯛꯁꯥꯅ ꯍꯧꯔꯛꯄ ꯈꯪꯕ ꯑꯃꯥ ꯄꯤ, ꯗꯥꯏꯒꯅꯣꯁꯤꯁ ꯅꯠꯇꯦ।
ꯃꯤꯑꯣꯏꯒꯤ ꯄꯥꯔꯁꯦꯟꯇ ꯀꯌꯥꯅꯥ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯗꯕꯦ?
adult 1.5% ꯅ ꯄꯤꯔꯤꯕꯥ ꯑꯃꯨꯁꯤꯌꯥ ꯂꯩ, adult ꯆꯍꯤ 18 ꯗꯒꯤ 65 ꯐꯥꯎꯒꯤ ꯃꯤꯑꯣꯏ 16,600 ꯔꯣꯝ ꯑꯃꯥ ꯑꯆꯨꯝꯅꯥ ꯈꯟꯗꯣꯀꯈꯤꯕ ꯑꯅꯂꯥꯏꯟ ꯁ꯭ꯇꯗꯤꯒꯤ ꯃꯇꯨꯡꯏꯟꯅꯥ [5]। 1980 ꯒꯤ ꯑꯔꯣꯏꯕ ꯁ꯭ꯇꯗꯤ ꯑꯃꯅ ꯃꯁꯤ 4% ꯅꯤ ꯍꯥꯏꯈꯤ, ꯑꯅꯤ ꯑꯁꯕꯥ ꯄꯔꯤꯛꯁꯥ ꯑꯃꯁꯨꯡ ꯑꯁꯕꯥ ꯂꯥꯞꯊꯣꯀꯄꯥ ꯃꯅꯤꯡꯇꯃꯛꯅꯥ [12]। ꯏꯁꯩ ꯐꯕꯥ ꯉꯃꯗꯕꯅ ꯌꯥꯝꯕꯥ ꯃꯤꯑꯣꯏꯅ ꯃꯁꯥꯕꯨ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯗꯕꯅꯤ ꯍꯥꯏꯅꯥ ꯊꯥꯖꯩ; ꯏꯁꯩ ꯁꯥꯕꯥ ꯑꯃꯁꯨꯡ ꯄꯤꯛꯁꯦꯜ ꯈꯪꯕꯥ ꯑꯁꯤ ꯃꯥꯟꯅꯕ ꯁꯛꯇꯤ ꯅꯠꯇꯦ।
ꯑꯆꯨꯝꯕ ꯄꯤꯛꯁꯦꯜ ꯀꯌꯥ ꯑꯌꯥꯕ ꯅꯠꯇꯕꯒꯦ?
ꯑꯆꯨꯝꯕ ꯃꯤꯡꯁꯤꯡ ꯈꯪꯕ ꯑꯁꯤ ꯃꯤꯑꯣꯏ ꯃꯌꯥꯝꯗꯥ ꯂꯩꯇꯕ ꯑꯣꯏ, ꯑꯗꯨꯕꯨ ꯃꯁꯤ ꯀꯔꯝꯕ ꯃꯌꯥꯝ ꯂꯩꯕꯒꯦ ꯍꯥꯏꯕ ꯃꯊꯧ ꯑꯆꯨꯝꯕꯥ ꯂꯩꯇꯦ। ꯌꯥꯝꯅꯥ ꯈꯪꯅꯕ ꯑꯣꯏꯔꯕ "10,000 ꯃꯤꯑꯣꯏꯗꯒꯤ 1 ꯅꯥ" ꯍꯥꯏꯕ ꯑꯁꯤ ꯂꯥꯏꯔꯤꯕ ꯃꯔꯣꯜꯒꯤ ꯃꯇꯝ ꯑꯃꯅꯤ, ꯑꯗꯨꯕꯨ ꯃꯔꯣꯜ ꯑꯁꯤ ꯑꯌꯥꯝꯕ ꯊꯥꯖꯕ ꯉꯝꯗꯕꯅꯤ [7]। ꯃ꯭ꯌꯨꯖꯤꯀ ꯂꯩꯁꯤꯡꯕꯁꯤꯡꯒꯤ ꯃꯔꯛꯇꯥ ꯃꯌꯥꯝ ꯑꯁꯤ ꯆꯌꯣꯜ ꯀꯌꯥꯗꯒꯤ 30% ꯐꯥꯎꯕ ꯌꯥꯏ, ꯃ꯭ꯌꯨꯖꯤꯀ ꯂꯦꯁꯟ ꯀꯔꯝꯕ ꯃꯇꯝꯗꯥ ꯍꯧꯈꯤ ꯑꯃꯁꯨꯡ ꯂꯣꯜ ꯑꯃꯗꯤ ꯂꯣꯜꯗꯥ ꯊꯦꯡꯅꯕ ꯃꯑꯣꯡꯗꯥ ꯈꯦꯠꯅꯩ [6][7]۔
ꯑꯆꯨꯝꯕ ꯄꯤꯛꯁꯦꯜ ꯑꯃꯥ ꯑꯃꯗꯥ ꯂꯩꯔꯕꯅꯥ ꯇꯝꯕ ꯌꯥꯕ꯭ꯔꯥ?
ꯄꯤꯛꯁꯦꯜ ꯄꯔꯤꯛꯁꯥꯗꯥ ꯐꯕ ꯐꯜ ꯑꯁꯤ ꯀꯔꯝꯅꯥ ꯑꯣꯏꯒꯗꯒꯦ?
Helibrain ꯃꯤꯡꯁꯤꯡ ꯈꯪꯕ ꯄꯔꯤꯛꯁꯥ ꯑꯁꯤ ꯑꯐꯕ꯭ꯔꯥ?
ꯍꯣꯏ। ꯄꯔꯤꯛꯁꯥ ꯑꯃꯁꯨꯡ ꯅꯪꯒꯤ ꯐꯜ ꯄꯨꯝꯅꯃꯛ ꯑꯐꯕ: ꯑꯀꯥꯏꯕ ꯂꯧꯗꯅꯥ, ꯏꯃꯦꯜ ꯂꯧꯗꯅꯥ, ꯄꯦꯃꯦꯟꯠ ꯇꯧꯗꯅꯥ। Helibrain ꯃꯁꯥꯒꯤ ꯑꯦꯞ ꯑꯗꯨꯒꯤ ꯃꯔꯛꯇꯥ ꯊꯥꯖꯩ; ꯑꯦꯞ ꯑꯗꯨꯗꯥ ꯑꯐꯕ ꯄ꯭ꯂꯥꯟ ꯑꯃꯁꯨꯡ ꯄꯦꯗ ꯄ꯭ꯂꯥꯟꯁꯤꯡ ꯂꯩ, ꯑꯗꯨꯕꯨ ꯄꯔꯤꯛꯁꯥ ꯇꯧꯅꯕꯥ ꯑꯦꯞ ꯑꯗꯨ ꯃꯊꯧ ꯇꯥꯗꯦ।
ꯃꯔꯤ ꯂꯩꯅꯕ ꯄꯔꯤꯛꯁꯥꯁꯤꯡ
- ꯃꯆꯨ ꯈꯪꯕ ꯄꯔꯤꯛꯁꯥꯅꯪꯒꯤ ꯃꯐꯝꯗꯥ ꯃꯆꯨ ꯑꯁꯥꯡꯗꯒꯤ ꯅꯤꯂ ꯑꯣꯏꯕ ꯀꯗꯥꯏꯗꯥ, ꯑꯃꯁꯨꯡ ꯃꯆꯨ ꯅꯛꯅꯕꯁꯤꯡ ꯃꯇꯨꯡ ꯃꯅꯥꯛꯅꯥ ꯂꯝꯅꯕ ꯀꯌꯥ ꯉꯝꯕꯒꯦ.
- ꯃꯇꯝ ꯈꯪꯕꯒꯤ ꯄꯔꯤꯛꯁꯥꯅꯪꯅꯥ ꯁꯦꯀꯦꯟꯗ ꯈꯔꯥꯒꯤ ꯃꯇꯝ ꯀꯌꯥ ꯂꯩꯕꯒꯦ ꯍꯥꯌꯕꯗꯨ ꯀꯌꯥ ꯑꯆꯨꯝꯅꯥ ꯈꯪꯕꯒꯦ.
- ꯄꯥꯎꯈꯨꯝ ꯄꯨꯡ ꯄꯔꯤꯛꯁꯥꯑꯣꯏꯕꯥ ꯄꯥꯎ ꯑꯃꯥ ꯎꯠꯂꯕꯗꯥ ꯅꯪꯅꯥ ꯀꯔꯝꯅꯥ ꯅꯣꯡꯃꯥ ꯄꯥꯎꯈꯨꯝ ꯄꯤꯕꯒꯦ꯫
ꯐ꯭ꯔꯤ ꯃꯃꯥꯡ ꯊꯤꯕꯒꯤ ꯄꯔꯤꯛꯁꯥ 43 ꯄꯨꯝꯅꯃꯛ ꯌꯦꯡꯉꯨ
ꯅꯨꯃꯤꯠ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯁꯤꯒꯤ ꯃꯇꯨꯡ ꯏꯅꯕ ꯄꯥꯝꯕ꯭ꯔꯥ? Helibrain ꯑꯦꯞ (ꯃꯇꯃꯁꯤꯡꯁꯤꯗꯥ English ꯈꯛꯇꯥ)ꯇꯥ ꯐ꯭ꯔꯤ ꯄ꯭ꯂꯥꯟ ꯑꯃꯁꯨꯡ ꯄꯩꯁꯥ ꯂꯩꯕꯥ ꯄ꯭ꯂꯥꯟꯁꯤꯡ ꯂꯩ꯫
ꯃꯥꯏ ꯑꯁꯤ ꯍꯧꯔꯛꯐꯝ ꯄꯤꯌꯨ: ꯃꯤꯡꯁꯤꯡ ꯈꯪꯕ ꯄꯔꯤꯛꯁꯥ. Helibrain. 2026. https://helibrain.com/mni/tone-deaf-test. CC BY 4.0.
ꯀꯨꯏꯅꯥ ꯐꯪꯕ ꯋꯥꯍꯪꯁꯤꯡ
How this test works
This ear game has two parts and an optional third. First, two tones play and you say whether the second was higher or lower. The difference shrinks after two right answers and grows after a mistake, until it settles near the smallest step you can hear. That step, in cents, is your main score. Second, you tap back 5 short click rhythms. Third, you can name 12 single notes. This up-down method was described in 1971.
Version 1 · Cite this test:
Helibrain (2026). Tone deaf test, v1. https://helibrain.com/tone-deaf-test/methods
ꯈꯪꯍꯟꯕ ꯐꯣꯡ
- Athos EA, Levinson B, Kistler A, et al. (2007). Dichotomy and perceptual distortions in absolute pitch ability. PNAS 104(37):14795–14800. doi.org/10.1073/pnas.0703868104
- Micheyl C, Delhommeau K, Perrot X, Oxenham AJ (2006). Influence of musical and psychoacoustical training on pitch discrimination. Hearing Research 219(1–2):36–47. doi.org/10.1016/j.heares.2006.05.004 (cent values as summarized in Deroche et al. 2017, doi.org/10.1121/1.5005496)
- Bianchi F, Santurette S, Wendt D, Dau T (2016). Pitch discrimination in musicians and non-musicians: effects of harmonic resolvability and processing effort. Journal of the Association for Research in Otolaryngology 17(1):69–79. doi.org/10.1007/s10162-015-0548-2
- Larrouy-Maestri P, Harrison PMC, Müllensiefen D (2019). The mistuning perception test: a new measurement instrument. Behavior Research Methods 51(2):663–675. doi.org/10.3758/s13428-019-01225-1
- Peretz I, Vuvan DT (2017). Prevalence of congenital amusia. European Journal of Human Genetics 25(5):625–630. doi.org/10.1038/ejhg.2017.15
- Deutsch D, Henthorn T, Marvin E, Xu H (2006). Absolute pitch among American and Chinese conservatory students: prevalence differences, and evidence for a speech-related critical period. Journal of the Acoustical Society of America 119(2):719–722. doi.org/10.1121/1.2151799
- Miyazaki K, Makomaska S, Rakowski A (2012). Prevalence of absolute pitch: a comparison between Japanese and Polish music students. Journal of the Acoustical Society of America 132(5):3484–3493. doi.org/10.1121/1.4756956
- Aschersleben G (2002). Temporal control of movements in sensorimotor synchronization. Brain and Cognition 48(1):66–79. doi.org/10.1006/brcg.2001.1304
- Levitt H (1971). Transformed up-down methods in psychoacoustics. Journal of the Acoustical Society of America 49(2B):467–477. doi.org/10.1121/1.1912375
- Jacoby N, McDermott JH (2017). Integer ratio priors on musical rhythm revealed cross-culturally by iterated reproduction. Current Biology 27(3):359–370. doi.org/10.1016/j.cub.2016.12.031
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